The following triangles, Ä ABC and Ä DEF, are congruent. abc 67.38degree 12cm lenght 22.62degree b5cm,l,13cm Find the lengths of all missing sides and measures of all angles for both triangles. Include correct units with each of your answers. First
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geomerty
The following triangles, Ä ABC and Ä DEF, are congruent. abc 67.38degree 12cm lenght 22.62degree b5cm,l,13cm Find the lengths of all missing sides and measures of all angles for both triangles. Include correct units with each of your answers. First triangle: Second triangle... 
Math
Triangle ABC has coordinates A(4,2), B(0,2), and C(4,1). Triangle DEF has coordinates D(3,6), E(3,2), and F(0,2). Use coordinate geometry to determine if these two triangles are congruent. If they are not congruent, state the reason. A: The triangles are congruent. B: The ... 
math
A triangle is rotated 35 degrees about the origin. What is true about the relationship between the image and the preimage? A) The lengths of the sides and the measures of angles are preserved, so the triangles are congruent. < * This one? B) The lengths of the sides are... 
Math
Reiny ..thanks for the formula and example. I tried it and i get that both sets of triangles are congruent but it is multiple choice with one answer. I don't know what i am doing wrong. How do I determine which two triangles on a graph are congruent. ∆QRS and ∆DEF ... 
Math Question
Which one of the following pairs of triangle must be similar? a) two isosceles triangles with congruent vertex angles b) two right triangles c) two scalene triangles with congruent bases d) two obtuse triangles a) if the two vertex angles are the same then the other two angles... 
Trigonometry/Geometry  Law of sines and cosines
In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, there are a few special cases in which... 
Math
Find the missing sides of the similar triangles ABC and DEF. AC=2 AB=5 CB=? DF=4 FE=8 DE=? 
Precalculus
In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, there are a few special cases in which... 
geometry
can one tell if two triangles are congruent if they are given only the angles and all of them are congruent to one another? (Example below) triangle ABC and triangle DEF with angle A congruent to angle D, angle B congruent to angle E, and angle C congruent to angle F 
Trigonometry/Geometry
In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, there are a few special cases in which... 
math
Triangle ABC undergoes a series of transformations to result in triangle DEF. Is triangle DEF congruent to triangle ABC ? Is it Congruent or Not congruent? 1.)) Triangle ABC is translated 3 units up and 5 units right, and then dilated by a scale factor of 4 to form triangle ... 
Geometry
I need help on these two. Consider tirangles ABC and DEF. Side A is congruent to side F. Angle A is congruent to angle F. Angle B is congruent to angle E. What postulate or theorem can be used to prove that the two triangles are congruent? If angle1 and angle2 are ... 
Geometry..
Given: A(3,1), B(5,2), C(2,0), P(3,4), Q(5,3), R(6,2). Prove: angles ABC and RPQ are congruent by completing the paragraph proof. AB=RP=13, BC=(?)=53, and CA=QR=26. So segment AB is congruent to (?), segments BC and PQ are congruent and segment CA is congruent to segment... 
Math
How do I determine which two triangles on a graph are congruent. ∆QRS and ∆DEF or ∆ABC and ∆XYZ. i found the coordinates of both sets: QRS Q(2,5), R(2,1), S(5, 1) DEF D(5,5), E(5,2), F(2,2) or ABC A(4,5), B(6,2), C(2,2) XYZ X(4,5), Y(6,2), Z(... 
Mathgeometry
A regular polygon with all sides that are congruent and all angles that are congruent. Thus, the regular triangles are equilateral triangles, and the regular quadrilaterals are squares. All equilateral triangles are similar to one another and all squares are similar to one ... 
Mathgeometry
A regular polygon with all sides that are congruent and all angles that are congruent. Thus, the regular triangles are equilateral triangles, and the regular quadrilaterals are squares. All equilateral triangles are similar to one another and all squares are similar to one ... 
Mathgeometry
A regular polygon with all sides that are congruent and all angles that are congruent. Thus, the regular triangles are equilateral triangles, and the regular quadrilaterals are squares. All equilateral triangles are similar to one another and all squares are similar to one ... 
Geometry (check answer)
Prove that the triangles with the given vertices are congruent. A(3, 1), B(4, 5), C(2, 3) D(1, 3), E(5, 4), F(3, 2) a The triangle are congruent because triangle ABC can be mapped to triangle DEF by a rotation. (x,y)>(y, x) Followed by a reflection (x, y)>(x... 
MATH
I entered the wrong coordinates in a previous question, i corrected down below. How do I determine which two triangles on a graph are congruent. ∆QRS and ∆DEF or ∆ABC and ∆XYZ. i found the coordinates of both sets: QRS Q(2,5), R(2,1), S(5, 1) DEF D(5... 
geometry
<DEF and <ABC are supplementary angles and <DEF is seven times as large as <ABC. Determine the measures of each angle. Students must show all work step by step to receive full credit. 
Algebra Alley(MATH)
Triangles ABC and RST are similar triangles. Angle A=2(x+15)^0 angle S=3x^0,and angle C=x^0. What are the measures of angles B,R,and T? What kind of triangles are they? 
geometry
In similar triangles ABC and DEF, corresponding sides AB and DE equal 15 and 12, respectively. If the perimeter of triangle ABC=40, what is the perimeter of triangle DEF 
math
Which of the following statements is always true of similar polygons? (1 point) Corresponding angles of similar figures have the same measure. The lengths of corresponding sides form equivalent ratios. The lengths of corresponding sides have the same measure. both (a) and (b) ... 
Geometry
For 2 similar triangles ABC and DEF, the scale factor of ABC to DEF is 2:3. If AB=2(BC) and DE=3(BC), what is EF? 
math
This can be proven by using congruent triangles. Because ACX=YCB are two adjacent angles, one angle is <ACB and the other being an angle that forms an equilateral triangle (which is 60 degrees), it means that ACX=<YCB=<ACB+60. Now we can see that AC=YC, and CX=CB, ... 
Geometry
I had to fill out a chart stating the properties of certine shapes(parallelograms). Some of them i put to many properties please tell me witch ones i have wrong. The properties to select from: 1Opposite sides are parallel (both pair) 2Opposite sides are congruent 3Diagonals... 
algebra
Triangles ABC and DEF are similar. Find the area of triangle ABC. Round your answer to the nearest tenth. the answer should be __________m^2 triangle abc has a 12m. triangle def has 12m and 18m. 
Algebra
Triangles ABC and DEF are similar. Find the area of triangle ABC. Round your answer to the nearest tenth. Triangle ABC has a base of 12m. Triangle DEF has a base of 18m and height of 12m 
math
angle ABC and DEF are supplementary angles. the measure of DEF is 20 degrees less than 3 times the amount of ABC. what are ABC and DEF. 
Math
Use the congruent triangles shown to answer question 6 and 7. 6. A. B. C. D. 7. Side BC is congruent to which side? A. ZX B. YX C. XY D. YZ 8. in the image below, ABC ~ DEF What is the length of EF and the measure of A. 27; 41 B. 27; 49 C. 36; 41 D.45; 49 9. What is the ... 
Geometry
Let ABC be any triangle. Equilateral triangles BCX, ACY, and BAZ are constructed such that none of these triangles overlaps triangle ABC. a) Draw a triangle ABC and then sketch the remainder of the figure. It will help if (triangle) ABC is not isosceles (or equilateral). b) ... 
Geometry
I had to fill out a chart stating the properties of certine shapes(parallelograms). Some of them i put to many properties please tell me witch ones i have wrong. There are wrong properties listed for some shapes because My teacher said that I have some of them wrong. The ... 
MATH URGENT!
Ok I don't understand how to find similar figures when using proportions. Can someone explain it to me? Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if ... 
Math please help!!
In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB=DE, BC=EF, and ∠A=∠D, then we cannot deduce that ABC and DEF are congruent. However, there are a few special cases in which SSA... 
Geometry.
Triangles ABC and DEF are similar. If ∠ABC = 121°and ∠BCA = 35°, find the measure of angle FDE. 
algebra
Triangles ABC and DEF are similar. Find the perimeter of triangle DEF. Round your answer to the nearest tenth. 
Geometry
Given: A(3,1), B(5,2), C(2,0), P(3,4), Q(5,3), R(6,2). Prove: angles ABC and RPQ are congruent by completing the paragraph proof. AB=RP=13, BC=(?)=53, and CA=QR=26. So segment AB is congruent to (?), segments BC and PQ are congruent and segment CA is congruent to segment... 
Math
If triangle ABC is similar to triangle DEF and the perimeter of ABC is 4 times greater than the perimeter of DEF , what is the relationship between the areas of the triangles? 
Geometry
Given: A(3,1), B(5,2), C(2,0), P(3,4), Q(5,3), R(6,2). Prove: angles ABC and RPQ are congruent by completing the paragraph proof. AB=RP=13, BC=(?)=53, and CA=QR=26. So segment AB is congruent to (?), segments BC and PQ are congruent and segment CA is congruent to segment... 
Geometry
Given: A(3,1), B(5,2), C(2,0), P(3,4), Q(5,3), R(6,2). Prove: angles ABC and RPQ are congruent by completing the paragraph proof. AB=RP=13, BC=(?)=53, and CA=QR=26. So segment AB is congruent to (?), segments BC and PQ are congruent and segment CA is congruent to segment... 
math
if possible,draw two isosceles triangle in which all the equallength sides in both triangles are congruent, but the two triangles themselves are not similar. 
math
In most geometry courses, we learn that there's no such thing as "SSA Congruence" . That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, there are a few special cases in ... 
geometry
triangle abc is similar to def, the lengths of the sides of triangle abc is 5,8,11. what is the length of the shortest side of triangle def if its perimeter is 60? 
geometry
In class we are doing overlapping triangles and I have the measures of the angles I just need to know how to solve if there's an angle that isn't congruent between both sides?? if that makes any sense. 
Geometry
Reflective sets of angles Given: <ABC is congruent to <EFG <1 is congruent to <3 Prove: <2 is congruent to <4 Statements: Reasons: 1.) <ABC is congruent to <EFG 1.) Given (m<ABC is congruent to m<EFG) <1 is congruent to <3 (m<1 is ... 
GEOMETRY
Reflective sets of angles Given: <ABC is congruent to <EFG <1 is congruent to <3 Prove: <2 is congruent to <4 Statements: Reasons: 1.) <ABC is congruent to <EFG 1.) Given (m<ABC is congruent to m<EFG) <1 is congruent to <3 (m<1 is ... 
Math
Which congruence statement says the same thing as triangle ABC is congruent to triangle DEF? (1 point) triangle ABC is congruent to triangle EFD triangle ACB is congruent to triangle DEF triangle ACB is congruent to triangle DFE•• triangle BCA is congruent to triangle FDE ... 
math
a figure is made up of two identical triangles a 15 inch by 12 inch rectangle and a square of side 19 inchs what is the lenght of one side of each triangle if all the sides of the triangles are equal in lenght 
geometry
Let the incircle of triangle $ABC$ be tangent to sides $\overline{BC}$, $\overline{AC}$, and $\overline{AB}$ at $D$, $E$, and $F$, respectively. Prove that triangle $DEF$ is acute. I have tried proving that triangle DEF's angles were les than the opposite angles in triangle ... 
Math
Which congruence statement says the same thing as triangle ABC is congruent to triangle DEF? (1 point) triangle ABC is congruent to triangle EFD triangle ACB is congruent to triangle DEF triangle ACB is congruent to triangle DFE triangle BCA is congruent to triangle FDE 
math
how can you estimate heights and distances you can't easily measure with rulers or tape measures by using the following methods? a) shadows and similar triangles b) mirrors and similar triangles c) small triangles nested within larger triangles. (it's not a multiple choice ... 
math
how can you estimate heights and distances you can't easily measure with rulers or tape measures by using the following methods? a) shadows and similar triangles b) mirrors and similar triangles c) small triangles nested within larger triangles. (it's not a multiple choice ... 
Geometry
1. If RST=NPQ, which of the following is true? A) R=P B) R=Q C) T=P D) T=Q < My answer 2. Given ABC=PQR, m<B=3v+4, and m<Q=8v6, find m<B and m<Q. A) 22 B) 11 C) 10 < My answer D) 25 3. Which of the following statements is true about the triangles ... 
geometry
DEF and ABC are complementary angles and ABC is nine times as large as DEF. Determine the measure of each angle. 
Unit 1 lesson 7 math
1. if MNO is = to QSR witch of the following is true? 2.The triangles shown are congruent. Find the measure of P 3.Which congruence statement says the same thing as ABC = DFE 4.Note: Remember to show all of the steps that you use to solve the problem. Be sure to use the text ... 
Math, please help me.
This is the last question of my quiz, I need help with it. I need just one question answered. Question: The angles opposite the congruent sides of an isosceles triangle are congruent. Find the value of x in the triangle. Show all your work. The triangles' value is 70 degrees. ... 
help me pls geometry
Which tirangles must be similar 1. Two right triangles with a congruent acute angle 2. Two obtuse angles 3 Two isosceles triangles with congruent bases 4. Two scalene triangles with a congruent angle 
GEOMETRY
If ABC ~ DEF and the scale factor from ABC to DEF is 1/6, what are the lengths of DE,EF , and DF, respectively? 
Math
Triangles ABC and DEF are similar. Find side AC. Round your answer to the nearest tenth. cm 
math
A circle is inscribed in triangle ABC with sides a, b, c. Tangents to the circle parallel to the sides of the triangle are constructed. Each of these tangents cuts off a triangle from ∆ABC. In each of these triangles, a circle is inscribed. Find the sum of the areas of ... 
math
The base of triangle ABC is one half the altitude.The altitude of triangle DEF is one half its base. If both triangles are equal in area, what is the ratio of the altitude of triangle ABC to the altitude of triangle DEF ? a. 1:4 b. 1:2 c. 1:1 d. 2:1 e. 4:1 please answer and ... 
math
The base of triangle ABC is one half the altitude. The altitude of triangle DEF is one half its base. If both triangles are equal in area, what is the ratio of the altitude of triangle ABC to the altitude of triangle DEF? a. 1:4 b. 1:2 c. 1:1 d. 2:1 e. 4:1 please answer and ... 
Math
Prove that if the sides of one angle are parallel to the sides of another angle, the angles are congruent. Given: BAED, BCEF, AND BEG Prove:angle ABC is congruent to angle DEF 
Math
If two angles of one triangle are congruent to two angles of another triangle, these triangles must be a) scalene b) similar c) congruent d) isosceles Dont all traiangles have 180 degrees? So if two angles were congruent, what about the third? I still don't get it. I would ... 
GeometryPLEASE CHECK ANSWERS!
In isosceles triangle DEF, DE=DF. Which of the following is true? 1) <D is congruent to <E 2) <F is congruent to <E 3) <D is congruent to <F 4) <D is congruent to <E which is congruent to <F Is the answer (3)? In triangle ABC, if line AB is congruent... 
Math
Triangle ABC is a right angled at A. AD is perpendicular to BC,AB=5cm,BC=13cm andAC=12cm. Find the area of triangle ABC.also find the length of AD 
math
Triangles ABC and DEF are similar. The similarity ratio of to is , AB = 40, BC = 25, and AC = 35. What is the perimeter of ? 
Geometry
1. How many sides does a regular polygon have if one exterior angle is 90 degrees? 3 4 5 6 2. The measures of three angles of a quadrilateral are 80, 90, and 103 degrees. Find the measure of the fourth angle. 67 77 87 97 3. The sum of the interior angles of a 7gon is 900 1,... 
Geometry
Can some one please check these for me.Thanks Angle DEF is similar to Angle HJK and the scale factor of angle DEF to anle HJK IS 5/2. If EF =15 FIND JK Here is what I came up with Am I correct 5/2 = EF/JK 5/2 =15/JK 5(JK)=30 JK=30/5 JK=6 Given: ABCD is a parallelogram; <1 ... 
Math
Use the figure to answer the following questions. figure for questions 1–3 1. Name a pair of complementary angles. (1 point) angle sign1 and angle sign4 angle sign1 and angle sign2 angle sign3 and angle sign4 angle sign1 and angle sign6 2. If mangle sign1 = 37°, what is the... 
Math
Use the figure to answer the following questions. figure for questions 1–3 1. Name a pair of complementary angles. (1 point) angle sign1 and angle sign4 angle sign1 and angle sign2 angle sign3 and angle sign4 angle sign1 and angle sign6 2. If mangle sign1 = 37°, what is the... 
Cosine Law
Find all missing sides/angles. Round each answer to the nearest unit. Angles/sides ABC (left to right) 1) Angle c= 70 deg side b= 28 yd side c= 26 yd 2) Side a= 18 cm Side b= 24 cm Side c= 28 cm 
geometry
Complete the flow proof for a HypotenuseAngle Theorem. Given AC congruent DF, <C congruent <F. <B and <E are right angles. Prove triangle ABC congruent triangle DEF. Thanks for tutors. 
prealgebra
Use the figure to answer the following questions. figure for questions 1–3 1. Name a pair of complementary angles. (1 point) angle sign1 and angle sign4 angle sign1 and angle sign2 angle sign3 and angle sign4 angle sign1 and angle sign6 2. If mangle sign1 = 37°, what is the... 
geometry
Suppose right triangle ABC has one acute angle 47º. Suppose also that right triangle DEF has an acute angle 43º. How are triangles ABC and DEF related? 
MATH
Use the figure to answer the following questions. figure for questions 1–3 1. Name a pair of complementary angles. (1 point) angle sign1 and angle sign4 angle sign1 and angle sign2 angle sign3 and angle sign4 angle sign1 and angle sign6 2. If mangle sign1 = 37°, what is the... 
HELP!!!!RIGHT NOW!!!!
Which set of side lengths shows similar triangles? (1 points) A) Triangle ABC : 40, 20, 50; Triangle XYZ: 10, 4, 8 B) Triangle ABC : 30, 20, 60; Triangle XYZ: 40, 60, 90 C) Triangle ABC : 110, 80, 60; Triangle XYZ: 6, 8, 5.5 D) Triangle ABC : 32, 20, 32; Triangle XYZ: 30, 16, 16 
math
Name the congruent angles and sides for the pair of congruent triangles. ΔGKP=~ ΔLMN that is the "congruent" sign 
Maths Congruence
(1)Are two triangles congruent if two sides and an angle of one triangle are equal to two sides and an angle of the other?If not then under what conditions will they be congruent? (2)How to construct Triangle(ABC) and Triangle(PQR)such that they are equal in area but not ... 
algebra
Triangles ABC and DEF are similar. Find the perimeter of triangle DEF. Round your answer to the nearest tenth. ab=4ft bc=6ft ac=5ft de=6ft ef= 9ft there is no feet given for df Please can anyone help me solve this with steps I don't understand how to do this. Thanking you in ... 
math
Algebra For questions 15, find the value of the variable. 1. x = (1 point) 2. y = (1 point) 3. x = (1 point) 4. x = (1 point) 5. (1 point) x = , y = , b = 90 x = , y = 3, b = 95 x = , y = 2, b = 90 x = , y = , b = 130 In Exercises 68, decide whether the statement is true or ... 
Math Geometry
Geometry Question: Prove the symmetric Property for congruence of triangles. Given: ∆ABC≅ ∆DEF Prove: ∆DEF≅ ∆ABC 
Hard Geometry Problem
Hi guys. I need a lot of help on this. "Equilateral triangle ABC has centroid G. Triangle A'B'C' is the image of triangle ABC upon a dilation with center G and scale factor 2/3. Let K be the area of the region that is within both triangles. Find K/[ABC]." How do you get a ... 
maths
the triangle in each pair are congruent.state the condition that shows that the triangles are congruent and write down the corresponding point a.ABC where AB= 8cm 
Math
Triangle ABC is similar to triangle APQ, with angle CBA equal to angle QPA and angle A common to both triangles. The lengths of sides AB, AP and PQ are 90 cm, 60 cm and 30 cm. Calculate the length of side BC. 
Geometry CA
24. Which pair of triangles, if any, can be proven congruent by the ASA Postulate? 25. Which of the following can you use to prove the triangles congruent? If the triangles cannot be proven congruent, select not possible. 26. Which of the following can you use to prove the ... 
PreCalculus
Determine the number of triangles that can be formed with the given information. and if it forms two possible triangles solve all unknown angles and sides Angle A=116 degrees a=10 b=11 
Math/Solving side lengths of similar figures!!!
I have to find out what (x) equals. it shows me two triangles. ABC and XYZ. XYZ's sides are X6 Y10 and Z8. ABC's sides are A(x) B25 and nothing for C. i need to find the value of (x). I'm expelled from school, and I get taught at the library everyday by my tutor so I can ... 
MATH
.In <ABC, <A=60,<B=70,<C=50. Points D , E ,F are the midpointsmof the sides BC ,AC and AB respectively. Find the measures of the angles of the triangle formed by joining the midpoints of the sides of <ABC. 
Math
Which set of side lengths shows similar triangles? Triangle ABC : 40, 20, 50; Triangle XYZ: 10, 12.5, 10 Triangle ABC : 30, 20, 30; Triangle XYZ: 40, 30, 20 Triangle ABC : 110, 80, 60; Triangle XYZ: 12, 16, 22 Triangle ABC : 32, 20, 32; Triangle XYZ: 40, 26, 26 
mathematics
a right angled triangle abc whose sides are 5cm,12cm and 13cm respectively is revolved arpund the side 12 cm.find the volume of the solid thus obtained. 
maths
DRAW LOCUS OF POINT SO THAT IT IS EQUIDISTANT FROM BC & CA . ... constructed such that none of these triangles overlaps triangle ABC. a) Draw a triangle ABC and then sketch ... 16) AB = 3.2cm BC = 8.4cm The area of the triangle ABC is 10cm². ... CONSTRUCT ANGLE ABC WHERE AB=... 
math
Name the congruent angles and sides for the pair of congruent triangles. ∆MGB ≅ ∆WYT 
math
apply the rule (1.5x, 1.5y) to the vertices of triangle ABC to get triangle PDR. Compare the corresponding measurements (side lengths, perimeter, area, angle measures) of the two triangles. 
math
Apply the rule (2x, 0.5y) to the vertices of triangle ABC to get triangle FGH. Compare the corresponding measurements (side lengths, perimeter, area, angle measures) of the two triangles. 
geometry
Triangle ABC is similar to triangle DEF. The sides of ABC are 5,8 and 11. What is the length of the shorttest side of DEF if its perimeter is 60? 
Math
Triangle ABC and RST are similar triangles. A=2(x+15)^0,angle S= 3x^0 and angle C=x^0. What are the correct measures of angle B,R,and T? What kind of angles are they? 
maths
Choose three options which are true: a) an angle of 150 degrees is equivalent to 2pie/3 radians. b) Cos 0 = cos (0 – pie/2) for al values of 0. c) Sin 0 = cos (0 – pie/2) for all values of 0. d) If triangle ABC has a right angle at B, then sin A = cos C e) In any triangle ... 
Math
Which statements are always true about regular polygons? Select all that apply. All sides are congruent •• Pairs of sides are parallel All angles are congruent •• All angles measure 90 degree Correct me if I'm wrong!! 
Math (please check my answer)
he figure below shows two triangles. Which statement about the triangles is true? i.imgsafe(.)org/c6dcf267d1.jpg The triangles are congruent by: 1. AAS<<< 2. ASA 3. SAS 4. They are not congruent