# 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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1. ## 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
2. ## 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
3. ## math

A triangle is rotated 35 degrees about the origin. What is true about the relationship between the image and the pre-image? A) The lengths of the sides and the measures of angles are preserved, so the triangles are congruent. <--- * This one? B) The
4. ## 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
5. ## 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
6. ## 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
7. ## 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
8. ## Math

Find the missing sides of the similar triangles ABC and DEF. AC=2 AB=5 CB=? DF=4 FE=8 DE=?
9. ## 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
10. ## 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.
11. ## 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
12. ## 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
13. ## 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

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

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
16. ## 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?
17. ## 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
18. ## 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?
19. ## 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
20. ## 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
21. ## 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.
22. ## 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
23. ## 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
24. ## 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.
25. ## 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),
26. ## 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
27. ## 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
28. ## 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
29. ## Geometry.

Triangles ABC and DEF are similar. If ∠ABC = 121°and ∠BCA = 35°, find the measure of angle FDE.
30. ## 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
31. ## algebra

Triangles ABC and DEF are similar. Find the perimeter of triangle DEF. Round your answer to the nearest tenth.
32. ## 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
33. ## 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.
34. ## 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
35. ## 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?
36. ## 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
37. ## 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
38. ## 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
39. ## 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
40. ## 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?

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'
42. ## 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
43. ## 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
44. ## Math

1. Name a pair of complementary angles. (1 point) 1 and 4 1 and 6 3 and 4 4 and 5 2. If m1=37°, what is m4? (1 point) 53° 43° 37° 27° 3. If m1 = 40°, what is m5? (1 point) 50° 40° 35° 25° Use the figure to answer questions 4–5. Assume that
45. ## Geom A

6. In ABC, m<A = 4x, m <b = 3x + 1, m <C = 7x + 11. List he sides of ABC in order from shortest to longest. A. AB, BC, AC B. AC, BC, AB C. BC, AB, AC * D. AC, AB, BC 7. Which three lengths could be the lengths of the sides of a triangle? A. 6 cm,
46. ## 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 X-6 Y-10 and Z-8. ABC's sides are A-(x) B-25 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
47. ## Math-geometry

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
48. ## Math-geometry

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
49. ## Math-geometry

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
50. ## 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
51. ## 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?
52. ## 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
53. ## geometry

DEF and ABC are complementary angles and ABC is nine times as large as DEF. Determine the measure of each angle.
54. ## 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
55. ## 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
56. ## 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
57. ## pre-algebra

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

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
59. ## Math

Triangles ABC and DEF are similar. Find side AC. Round your answer to the nearest tenth. cm
60. ## 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
61. ## 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.
62. ## 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?
63. ## geometry

Complete the flow proof for a Hypotenuse-Angle Theorem. Given AC congruent DF, <C congruent <F. <B and <E are right angles. Prove triangle ABC congruent triangle DEF. Thanks for tutors.
64. ## 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.
65. ## 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?
66. ## 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
67. ## 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 ?
68. ## 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
69. ## 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
70. ## math

It is a proof. Given: line DB bisects line AC line AD is parallel to line BE AD=BE Prove: DB=EC there are two triangles connected together by point B. They are labled A D B and B E C. D and E are the top points of the triangles. they look like they would
71. ## math

Name the congruent angles and sides for the pair of congruent triangles. ΔGKP=~ ΔLMN that is the "congruent" sign
72. ## Math

Prove that if the sides of one angle are parallel to the sides of another angle, the angles are congruent. Given: BA||ED, BC||EF, AND BEG Prove:angle ABC is congruent to angle DEF
73. ## Maths

Let ABC be a triangle. Locate the point O inside the triangle ABC such that for points L, M and N lying on its sides AB, BC and CA respectively, triangles BOL, COM and AON have the same area, where LO and BC, OM and AC, NO and AB must be parallel

triangles ABC and DEF are similar. What is the legnth of side EF? Triangle ABC: Side Ab 3 cm Side Bc 2 cm Side Ca 5 cm Triangle DEF Side De 4.5 cm Side Ef x Side Fd 7.5 cm what is the legnth of side ef A 1.5 cm B 4 cm*** C 3 cm D 8.5 cm Am i correct?
75. ## logic

a student is using a geometry program to investigate the midsegments of a triangle. the student uses the program to draw triangle ABC, bisect the sides of the triangle, and draw segments connecting the midpoints to form triangle KLM. the student then uses
76. ## maths

Rudransh has a piece of cardboard in shape of a quadrilateral. He cuts it into two triangles such that angles formed at the vertices are bisected. He wants to find out whether the two triangles are congruent or not
77. ## Math Geometry

Geometry Question: Prove the symmetric Property for congruence of triangles. Given: ∆ABC≅ ∆DEF Prove: ∆DEF≅ ∆ABC
78. ## Math "Need Help Asap"!

Geometry Unit Practice Sheet Multiple Choice Use the figure to answer questions 1–3. 1. Name a pair of complementary angles. (1 point) 1 and 4 1 and 6 3 and 4 4 and 5 2. If m1=37°, what is m4? (1 point) 53° 43° 37° 27° 3. If m1 = 40°, what is m5?
79. ## 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.
80. ## 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.
81. ## Math

Determine the number of triangles that could be drawn with the given measure. Then, find the measures of the other angles and the other side in each possible triangle. Round side lengths to the nearest tenth of a unit and angle measure to the nearest tenth
82. ## MATH

.In <ABC, <A=60,<B=70,<C=50. Points D , E ,F are the mid-pointsmof the sides BC ,AC and AB respectively. Find the measures of the angles of the triangle formed by joining the mid-points of the sides of <ABC.
83. ## 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;
84. ## 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,
85. ## math

Algebra For questions 1-5, 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 6-8, decide whether the
86. ## 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
87. ## 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=8v-6, find m<B and m<Q. A) 22 B) 11 C) 10 <---- My answer D) 25 3. Which of the following statements is true

What is the measure of a base angle of an isosceles triangle if its vertex angle measures 30? 30 150 15 75 <My choice Which lengths could be the side lengths of a triangle? 18cm, 6cm, 13cm <My choice 13cm, 22cm, 7cm 6cm, 18cm, 12cm 22cm, 13cm, 8cm

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
90. ## math

construct two different triangles ABC.In which AB=5cm and angle C=54 degrees. find angles A1 and A2
91. ## 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
92. ## math

Name the congruent angles and sides for the pair of congruent triangles. ∆MGB ≅ ∆WYT
93. ## construction

constuct two triangles ABC. let the length AB be 5cm and angleC be 54 degrees. find angles A1 and A2.
94. ## 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?
95. ## maths-urgent

Rudransh has a piece of cardboard in shape of a quadrilateral. He cuts it into two triangles such that angles formed at the vertices are bisected. He wants to find out whether the two triangles are congruent or not without actually super positioning them
96. ## 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
97. ## 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
98. ## geometry

i am lost on this one TAKE Three points K,L,M on sides BC,CA,AB of the triangle ABC. Prove that at least one of the triangles AML,BKM,CLK has area less than or equal to 1/4 area of triangle ABC
99. ## 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
100. ## 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