For the AAS Theorem to apply, which side of the triangle must be known? A. the included side A. the longest side A. the shortest side A. a non-included side

Q: )Let ABC be an isosceles triangle with AB-AC Let D be the foot af the A to BC. ( Prove that AD…

A: NOTE- AS WE ARE ALLOWED TO ANSWER FIRST QUESTION IN ONE SESSION SO I HAVE ANSWERED FIRST ONE FOR…

Q: Suppose AQRS and ATUV are congruent right triangles such that ZR is a right angle and ZV = 35°. What…

A: Given △QRS and △TUV are congruent triangles such that ∠R is a right angle and ∠V=35°. To find: ∠T…

Q: For another proof of the Pythagorean theorem, consider a right triangle ABC (with right angle at C)…

A: Since, according to our guideline we have to answer only first question. I am answering first one.…

Q: Given: AABC is an isosceles triangle with vertex angle, ZB. ZA ZE ZBCALDCE BC DC Prove: C is the…

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Q: Let ABC be a triangle, and let AA' , BB' , CC' be diameters in the circumcircle. Prove that triangle…

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Q: What theorem can be used to prove these triangles are congruent? A C ASA SAA neither

A: Given there are 2 triangles In the Given Triangles, Two angles and side between them are congruent.…

Q: For the given picture, point C is the midpoint of AD and BE. Which postulate can be used to prove…

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Q: Which additional piece of information would be needed to prove that these triangles are congruent…

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Q: 1. 2. 3. G H 4. 5. 6.

A: As this is a multiple subpart question according to the Bartleby Answering rule, only first three…

Q: Let A = (-3, 2), B = (1, 0), and C = (4, 6). Prove that ABC is a right- angled triangle.

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Q: Use deductive reasoning to show that the two triangles are congruent Given that LFAB LGED and C is…

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Q: ABC is a right angled triangle right angled at B. If P and Q are the mid - points of the sides AB…

A: Given:

Q: Prove that every equilateral triangle is equiangular, and vice versa.

A: Prove that every equilateral triangle is equiangular, Proof : In△ABC, AB=BC=AC…

Q: 18. What side should be measured to construct JL in a congruent triangle such that AFGH E AJKL? FG…

A: We have to solve the problem

Q: Given, A DEF is an isoceles triangle with LD Ver ted angle. as the ,. DE DF E F DE = 4x-7 EF 3x +2…

A: Given that DE=DF So, 4x-7=6x-1515-7=6x-4x8=2xx=82x=4

Q: Given rectangle ABCD, let P be the point outside ABCD that makes triangle CDP equilateral, and let Q…

A: The given figure is: where ABCD is a rectangle and PCD and BCQ  are equilateral triangles.

Q: A B D

A: Given query is to find which triangle can be prove congruent using HL theorem.

Q: With the information given in the drawings, which pair of triangles can be proven congruent by the…

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Q: Drag the postulate or theorem that proves the triangles are congruent. b. AOKR e AAHR C. AZWX EAYXW…

A: Solution of all three parts are given .

Q: Which two triangles are congruent by the SAS Theorem? Complete the congruence statement. Q Y W R.

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Q: Which postulate proves these two triangles are congruent? A. HL B. SSA C. ASA D. SAS

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Q: Determine if the triangle pairs are similar triangles. If they are similar, select the postulate or…

A: Pair of triangles are given Note :If multiple question are given we have to answer only 3 subparts .

Q: Which postulate proves these two triangles are congruent? A. ASA B. SAS C. None, not congruent D. HL

A: We can solve the problem by the property of congruence.

Q: Which method can be used to prove that the triangles are congruent?

A: When two lines are intersecting then their opposite angle are equal by vertical opposite angle . Two…

Q: R 6 P. 15 T. の

A: Please see the explanation below

Q: Given: AD = BC and AC = BD. Prove: AFDC is an isosceles triangle.

A: Given query is to proof that triangle FDC is isosceles triangle.

Q: Which two triangles are congruent by the AAS Theorem? Complete the congruence statement. Y W

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Q: Which postulate proves the two triangles are congruent? A. SAS B. HL C. SSA D. ASA

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Q: Suppose that ABCD is a trapezoid, with AB parallel to CD, and diagonals AC and BD intersecting at P.…

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Q: Which postulate proves the two triangles are congruent? A. HL B. SAS C. ASA D. none

A: Both the traingles have AD as common side.

Q: In circles and inscribed angles, prove the following theorem. Two Secants Theorem: m/ACE = (AE BD )…

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Q: For which values of a, b and C there exists a non-degenerate triangle having sides of length a, b…

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Q: Suppose AABC is a triangle in the Euclidean plane and D is the point such that B*C*D and AD bisects…

A: Given:  AB=9AC=6CD=12 B*C*D means points B, C, Dare distinct and they lie on the same line.  B*C*D…

Q: In the given figure, PQRS is a parallelogram, whose diagonals PR and SQ intersect at O. If OR = 7.5…

A: it is given that 'OR' =7.5 cm

Q: Which postulate proves these two triangles are congruent? A. HL B. SSA C. None, not congruent D. SAS

A: Given:  Diagram is given

Q: P V R Q

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Q: Which of the following pairs of triangles can be proven congruent through SSS? C O A) D F B) B< C) B

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Q: Are the triangles congruent by the HL Theorem? A

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Q: What theorem can be used to prove these triangles are congruent? A C. ASA SAA neither

A: topic - congruent triangles SAA(side-angle-angle)Congruence Theorem: If two angles and a…

Q: Prove that the area of a triangle AABC is given by JAABC| = /5(s – a)(s – b)(s – c),

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Q: Given: E is the midpoint of AB and CD Prove: Triangle AEC is congruent to Triangle BED

A: from the above fingure,∠C≅∠D   and ∠A=∠B=90°   —Here, CA⊥AB and DB⊥AB   —CE=EDAs CD is…

Q: Which criteria can be used to prove triangles are congruent? Select all that apply. O A. ASA B. AAS…

A: Given, The criteria' s for proving the triangles are congruent  We have to choose the correct…

Q: Prove that if a point is contained in two angles of a triangle, then it is contained in the interior…

A: In a triangle, any two angles are adjacent (i.e, sharing a common hand)

Q: Prove that the segment that joins the midpoints of two sides of a triangle has a length equal to…

A: Given:  AM¯=BM¯ ________ (1) AN¯=CN¯ To prove: MN¯=12BC¯ Construction: Extend MN¯ to a point D and…

Q: Which postulate proves these two triangles are congruent? A. HL B. SSA C. SAS D. None, not congruent

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Q: Type SSS, SAS, ASA, SAA, or HL to justify why the two larger triangles are congruent. C A AC = EC AB…

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Q: Given triangle ABC whose sides are AB = 15 in, AC = 25 in and BC = 30 in. From a point of side AB, a…

A: The solution of the problem is given in the next step.

Q: What additional information would be necessary to prove that the two triangles, rXBY and rZAY, are…

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Q: Let ABC be a triangle with orthocenter H, incenter I and circumcenter O. Prove that: (a) If ∠A is…

A: Proceed as shown