# You can use triangle congruence theorems to prove relationships among tangents and secants. Task 1 Four tangents are drawn from E to two concentric circles. A, B, C, and D are the points of tangency. Name as many pairs of

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1. ## geometry

Name the property of equality or congruence that justifies going from the first statement to the second statement. StartFraction x Over 2 EndFraction equals 3x2=3 x equals 6x=6 symmetric property of congruencesymmetric property of congruence distributive

2. ## geometry

Prove that a triangle with sides : x^2-1, 2x, and x^2 +1 is a right triangle. i substituted the "x"s with 2 and got 5, 4, and 3 and i said that because of the common pythagorean triplets this triangle is a right trianlg is there another way to prove this

3. ## Geometry

Given : M is the mid point of XY Prove : XY = 2* XM M is the midpoint if XY - Given XM ≈ MY - Definition of congruence XM = MY - definition of congruence XM + MY = XY - Segment addition postulate XM + XM = XY - substitution postulate of equality 2 * XM =

4. ## Math

1. If Angle ABC is congruent to Angle DEF by side-side-side triangle congruence, the angle B is congruent to Angle E by? A) Side-angle-side congruence. B) Angle-angle-side congruence. C) Corresponding parts of congruence. D) Corresponding parts of

5. ## MHS

Given: MC bisects both ∠ACB and side AB. Based on the given information and the algebraic and geometric properties presented or proven thus far, choose the congruence theorem that could be used to prove the triangles congruent. If it is not possible to

6. ## GEOMETRY

Name the property that justifies this statement: If AB = BA, then segment AB is congruent to segment BA. A )Addition Property of Equality B) Reflexive Property of Congruence C) Symmetric Property of Congruence D) Transitive Property of Congruence

7. ## Geometry

Which of the following is not a postulate used to prove the congruence of two triangles? a. ASA b. SSA c. SAS d. SSS I think its C?

8. ## 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

9. ## Algebra

If x is the midpoint of line vy and wz And the prove is triangle vwx is congruent triangle yzx can you help me solve this using two column prove

10. ## geometry

Two tangents drawn to a circle from an external point intercept a minor arc of 150°. What is the measure of the angle formed by these two tangents?

11. ## 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

12. ## Geometry

Four tangents are drawn from E to two concentric circles. A, B, C, and D are the points of tangency. Can you name as many pairs of congruent triangles as possible and tell how you can show each pair is congruent? You can use triangle congruence theorems to

13. ## Math

Suppose line GH is congruent to line JK, line HE is congruent to line KL, and angle 1 is congruent to angle L. Can you prove that triangle GHI is congrunet to triangke JKL, abd if so, how? A. You can use SAS to prove the triangles are congruent. B. You can

14. ## math

Given: ∠TRS = ∠URS ∠TSR = ∠USR Based on the given information and the algebraic and geometric properties presented or proven thus far, choose the congruence theorem that could be used to prove the triangles congruent. If it is not possible to prove

15. ## geometry

If two medians of a triangle are equal, prove that the triangle formed by a segment of each median and the third side is an isosceles triangle.

16. ## Geometry

the steps that you would follow to recreate a triangle using a protractor, a string, and the AAS Congruence Theorem, written out in words. I'm lost know that you need two angles and a side.No clue how to explain. Please help I've been sitting here all day

17. ## MATHS

the base BC of a triangle ABC is divided at D so that BD=1/3 BC .prove that ar(triangle ABD)=1/2 ar (triangle ADC)

18. ## maths

The angle between two tangents from a point to a circle is 82 degree.What is the length of one of these tangents if the radius of the circle is 80mm?

19. ## math

Which theorem states that the measure of the exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles of the triangle? (Line and Angle Relationships Unit Test) conexxese

20. ## mathematics

in triangle abc if acosA= bcosB then how to prove the triangle is isosceles or right angled

21. ## Math Geometry

A triangle has vertices P(a,b), Q(c,d), and R(e,f). You are asked to prove that the image triangle angle P'Q'R' of triangle angle PQR after reflection across the y-axis is congruent to the preimage. What coordinates should you use for the vertices of

22. ## math

​Which congruence criteria can be used to prove the triangles are congruent?

Explain why knowing a combination of four pairs of equal sides or equal angles guarantees one of the congruence relationships.

24. ## maths-circles

a circle with centre O, secants AB and EF intersect each other at point C in the exterior of the circle . prove that measure of angle ACE=(1/2)*{measure of arcAE)-measure of arc BF}

How do you do this proof? "In circle O, line segment ABC and line segment ADE are secants. Prove that angle ADC is congruent to angle ABE. This is the diagram: img523.imageshack.us/my.php?image=diagram3.jpg

26. ## systems analysis design

Task: Draw an ERD that shows cardinality relationships among the entities. When you create your ERD, you'll need to consider the training courses, trainers, corporate clients, students, test results, class schedules, and probably a few more. You'll find it

27. ## Math

You can use triangle congruence theorems to prove relationships among tangents and secants. Task 1 Four tangents are drawn from E to two concentric circles. A, B, C, and D are the points of tangency. Name as many pairs of congruent triangles as possible

28. ## geometry

h t t p s://ibb.co/Hz898r4 enter link for picture without spaces. please help. I got the secants, chords and tangents. I think I found two angles out of the 19. I would appreciate if someone helped me get the rest of the angles. tangent:

29. ## Geometry and Algebra

AB is a diameter of a circle with centre O. P is on BA extended, and PT is tangent to the circle. Use the corollary to the Intersecting Secants Property to prove that PT is perpendicular to OT. Here is the diagram (Without the dashes in the "com" and

30. ## operation management

A firm is planning to set up an assembly line to assemble 40 units per hour. Assume that 57 minutes per hour are productive. The time to perform each task and the tasks preceding each task are as follows: Task Preceding Task Time to Perform (Min) A - 0.69

31. ## math

The cross section of an attic is in the shape of an isosceles trapezoid. If the height of the attic is 9 feet, BC=12 feet, and AD=28 feet, find the length of line AB to the nearest foot. The triangle of the trapezoid is triangle ABE and the bases are BC

32. ## Elementary Euclidean Geometry(Math)

Little Joseph once said: I was once asked to prove that (PROOF ONE) in a right triangle, the sum of the squares of two sides equals the square of the third. Smart little rascal that I am, I proved it with ease. I was then asked to prove that (PROOF 2) if

33. ## geometry

If you had two triangles, triangle RST and triangle UVW, and in triangle RST angle R= angle S= angle T and in triangle UVW angle U= angle V= angle W, is there enough information to prove that the triangles are congruent? So each triangle is equiangular.

34. ## honors/Geometry

how do you write out proofs? To be more specific with my question, how do you find the alternate exterior angles theorem? Be sure the result is not a postulate. If it is then there's nothing to prove, it's given. If it is a theorem -a provable statement-

35. ## Calculus

A) How do you prove that if 0(

36. ## Geometry

Two corresponding sides of two similar hexagons are 16 mm and 20 mm. What is the ratio of the area of the two hexagons? Name the postulate and two theorems you can use to prove triangle similarity.

37. ## Math

Given the axioms: ln x = definite integral from 1 to x of 1/t dt ln e = 1 Given the theorems: ln a^r = r * ln a (for all real numbers r) ln e^x = x * ln e = x Prove that e^(ln x) = x Intuitively, I can see that is true, but how can it be proved?

38. ## GEOMETRY 4.6

USE THE GIVEN SET OF POINTS TO PROVE EACH CONGRUENCE STATEMENT E(-3, 3), F(-1, 3), G(-2, 0), J(0, -1), K(2,-1), L(1, 2);

39. ## Math

Explain why knowing a combination of four pairs of equal sides or equal angles guarantees one of the congruence relationships.

40. ## math

Do a two column proof. Given: HI=FG Prove: GH>FI If FGI is a triangle,and GIH is a triangle, and they both share a common side, GI, and FIH is a straight line, how do you prove the answer?

41. ## geometry

which triangle congruence theorem explains why all triangles are rigid? is it SSS, SAS, ASA, or AAS?

42. ## Geometry

Lesson 24:Congruence Unit Test Geometry A Unit 6: Congruence If I could get any help with this, that would be greatly appreciated. Thank you.

43. ## geometry

Given: AC perpendicular BD and AB congruent CB. Prove AD congruent CD. It is a kite figure. I need statements and reasons. Problem states Plan: prove triangle ABE congruent CBE. The use congruent corresponding parts AE and CE to show right triangle AED

44. ## geometry

The medial triangle of a triangle ABC is the triangle whose vertices are located at the midpoints of the sides AB, AC, and BC of triangle ABC. From an arbitrary point O that is not a vertex of triangle ABC, you may take it as a given fact that the location

45. ## Geometry/Math

Some people might be confused while applying the three theorems related to segments in circles. They might not be sure which segments to multiply. What helpful hints would you recommend they use to figure out which segments to multiply for each of the

46. ## Calculus

I did an experiment where I had to measure how fast water flowed out of a container at different times and with different volumes. I also had to record the values into a table and graph them. (I got an exponential function). I am to answer the following

47. ## Geometry

Explain why knowing a combination of four pairs of equal sides or equal angles guarantees one of the congruence relationships.

48. ## geometry

Use SAS (Side-Angle-Side congruence) to explain why triangle WXY congruent to triangle WZY

49. ## math

Triangle ABC is congruent to triangle xyz.write congruence statements comparing the corresponding parts.then determine which transformations map ABC onto xyz

50. ## geometry

triangle PQR is isosceles.S and T are the mid points of the equal sides PQ and PR respectively.prove that triangle QTR=triangle RSQ.

51. ## Math- Geometry Proofs

What are some ways to prove that a triange is isoscles? i have to make a two column proof based on a problem. What is the exact problem I need help with my geometry homework. We are doing proofs and i need some help because proofs are really hard!! def.

52. ## calculus

Find the points P and Q on the graph of f(x) = 1 - X^2 so that the triangle formed by the tangents at P and Q and the x-axis is equilateral. h tt p://i44.tinypic. com/23wveow.j pg

53. ## maths

AD is the median of triangle ABC and G divides AD in the ratio 2:1 .Prove that area (triangle AGB )= area (triangle BGC )=area (triangle AGC )=1Ã·3area (triangle ABC )

54. ## Geometry

Does SSSS (four sides of one are congruent to four sides of the other) work as a congruence theorem (a way to prove they are congruent) for quadrilaterals? Explain.

55. ## math

Triangle LNK is isosceles and line LK is the base. use a paragraph proof to prove that triangle LNK is equal to triangle KNM

56. ## Maths

In triangle ABC ,D and E are the mid points of BC and AC respectively prove that the area of triangle ABC is 4 times than triangle ABE

57. ## math

Prove that if a triangle is inscribed in a circle,the sides of a triangle are equidistant from the centre of the circle then the triangle is equilateral

58. ## Very easy math

my teacher told me that the inverse of addition was subtraction and that the inverse of subtraction was addition... could you prove it to me -x = (-1)x ((-1)x)^-1 I don't see how I'm suppose to get + x by taking the inverse of -x i've always been told in

59. ## 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

60. ## math

Explain how the triangle similarity postulates and theorems are alike and how they differ from triangle congruence postulates Name something with a height that would be difficult to measure directly. Describe how you could measure it indirectly

61. ## Mathematics

In the circle,identify the secants and the tangents

62. ## geometry

if ab = 8 sc = 6 ec = 12 what is value of dc? it follows the (ac)(bc) =(ec) (dc) theorem tangents secants... thank you...do you have to factor?

63. ## calculus

A) How do you prove that if 0(

64. ## calculus

A) How do you prove that if 0(

65. ## 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

66. ## calculus

5. Consider the circle x2 + y2 = 16 and the parabola y2 = 8x. They intersect at P and Q in the first the fourth quadrants, respectively. Tangents to the circle at P and Q intersect the x-axis at R and tangents to the parabola at P and Q intersect the

67. ## Math Geometry

Geometry Question: Prove the symmetric Property for congruence of triangles. Given: ∆ABC≅ ∆DEF Prove: ∆DEF≅ ∆ABC

68. ## trigonometry

Use logarithms and the law of tangents to solve the triangle ABC, given that a=21.46 ft, b=46.28 ft, and C=32°28'30" I have to use logarithms and law of tangents . and then provide the check. which says law of sine or mollweids equation. I can't us the

69. ## Math- Geometry

Explain why knowing a combination of four pairs of equal sides or equal angles guarantees one of the congruence relationships.

70. ## Algebra NEED HELP PLEASE

If x is the midpoint of line vy and wz And the prove is triangle vwx is congruent triangle yzx can you help me solve this using two column prove

71. ## Geometry

If x is the midpoint of line vy and wz And the prove is triangle vwx is congruent triangle yzx can you help me solve this using two column prove

72. ## English !!!

Which relationships do many prepositions describe? A. size relationships B. value relationships C. personal relationships D. spatial relationships i think D?

73. ## Geometry

Given a triangle ABC with A(6b,6c) B(0,0) and C (6a,0), prove that the medians of the triangle are concurrent at a point that is two thirds of the way from any vertex to the midpoint of the opposite side. I'm not sure how to prove this. I tried and when I

74. ## Geometry: Ms. Sue or Steve or someone help please?

Given a triangle ABC with A(6b,6c) B(0,0) and C (6a,0), prove that the medians of the triangle are concurrent at a point that is two thirds of the way from any vertex to the midpoint of the opposite side. I'm not sure how to prove this. I tried and when I

75. ## math

need to check answers please 9/11-3/11+7/11=13/11=1 2/11 evaluate then to lowest form One task took 7 minutes (min), a second task took 12 min, and a third task took 21 min. How long did the three tasks take, as a fraction of an hour?2/3 find perimeter of

76. ## math

How would a congruence transformation affect the perimeter of a triangle.

77. ## maths

L and m are two parallel tangents at A and B. The tangent at C makes an intercept DE between L and m. Prove that angle DEF = 90 degree.

78. ## RESEARCH REPORT

HI I WOULD LIKE TO KNOW WHAT I CAN POSSIBLY PROVE ABOUT EITHER THE BERMUDA TRIANGLE OR ATLANTIS THE LOST EMPIRE WE AARE SUPPOSED TO PROVE SUMTHIN ABOUT EITHER OF THOSE TWO CHOICES.... I ALSO NEED SITES THAT CAN HELP ME PROVE SOMETHING ABOUT THEM

79. ## maths

in the following fig two tangents PQ and PR are drawn to a circle with centre O from an external point P.prove that QPR=2OQR

80. ## geomentry

what are the 7 classifications of triangles( SAS, SSS,etc.) and 5 triangle congruence postulates?

81. ## Math

In triangle ABC, the medians AD,BE, and CF concur at the centroid G. (a) Prove that AD < (AB + AC)/2. (b) Let P=AB+AC+BC be the perimeter of triangle ABC. Prove that 3P/4 < AD + BE + CF < P.

82. ## Math- any help would be greatly appreciated

In triangle ABC, the medians AD,BE, and CF concur at the centroid G. (a) Prove that AD < (AB + AC)/2. (b) Let P=AB+AC+BC be the perimeter of triangle ABC. Prove that 3P/4 < AD + BE + CF < P.

83. ## Maths(help me plz..!

The sides of a triangle are of lenths x*-y*, x*+y* and 2xy units respectively. Prove that the triangle is a right angled triangle

84. ## math

Okay, so there is circle S. There are two tangents of this circle that intersect, so it almost looks like a cone? the angle of the intersected tangents is 20º. The arc that the "cone" intersects is 4x. I have to figure out what X is. THe answer is 110 but

85. ## MATH!!!

given isosceles triangle ABC, line AB = BC, and BD is the angle bisector of isosceles triangle ABC prove AB x DC = BC x AD Aren't the two halves congruent? (SAS) If so, then DC is equal to AD. Don't the ratios AB:AD=BC:DC by corresponding parts? how do i

86. ## Geometry

1. Graph the quadrilateral with vertices C(-9,4), D(-4,8), E(2,6), and F(-3,2). What specific shape is it? 2. Include the work with explanations of how you solved this. 3. List at least 2 other ways you could have proved this. You do not have to prove

87. ## Math(Geometry)

In the diagram below(no diagram but details will be provided), right triangle ABC and line BD is an altitude to side line AC. * Prove that (AB)^2=(AC)(AD) -When you label the triangle B should be were the right angle is C should be at the top of the

88. ## Advanced Maths (Vectors) AQA Level

Triangle ABC with D, E and F the midpoints of BC, AC, and AB. G is the midpoint of AD such that the ratio AG:GD =2:1, VECtors AB =p and BC =q Prove that B, G and E are collinear. prove the same results for point C, G and G

89. ## Advanced Maths (Vectors) AQA Level

Triangle ABC with D, E and F the midpoints of BC, AC, and AB. G is the midpoint of AD such that the ratio AG:GD =2:1, VECtors AB =p and BC =q Prove that B, G and E are collinear. prove the same results for point C, G and F

90. ## Geometry

Given:-AD is perpendicular to BC -Triangle ABC is isosceles with vertex angle A Prove: Triangle ADB congruent to Triangle ADC (note: it should be solved in 9 steps and I got 7 steps and it being SAS)

91. ## math

in an equilateral triangle ABC,O is any point in the interior of the triangle.From O perpendiculars are drawn to the sides.prove that sum of these perpendiculars is constant for any triangle

92. ## geometry

how does the exterior angle theorem makes sense based on the triangle angle-sum theorem? i know what both of the theorems are i just dont understand how they are 'connected'?? thanks!

93. ## Math

In a right triangle, one leg is 40 cm long and the hypotenuse is 104 cm long. Find the tangents of its acute angles.

94. ## math

The points P (2, −1), Q (−4, −1) and R (−1, 3√3 − 1) are joined to form a triangle. Prove that triangle PQR is equilateral. I get that you use the distance formula to find the distance between these three points, which will prove that PQR is

95. ## calculus

the line y=x-c touches the ellipse 9x^2 + 16y^2 = 144. Find the value of c and the coordinate of the point of contact. a parallelogram is defined by two sets of tangents to the curve x^2 - 4y^2 = 9. The gradients of the tangents are 1 and -1. Find the area

96. ## Mathamatics

O is any point on Diagonal DB OF Parallogram ABCD. Prove that Ar (Triangle OAB) = Ar(Triangle OBC

97. ## math

Let triangle ABC be a triangle such that angle ACB is 135 degrees. Prove that AB^2 = AC^2 + BC^2 - (Root 2) x AC x BC

98. ## Math

If the bisector of the vertical angle of the triangle bisects the base prove that the triangle is isosceles?

99. ## math

Let triangle ABC be a triangle such that angle ACB is 135 degrees. Prove that AB^2 = AC^2 + BC^2 - (Root 2) x AC x BC

100. ## geometry

Given Line RQ, TQ, WQ, and YQ are radii. Prove: triangle QWT is congruent to triangle QYR