Provide a proof for the following theorem: Let EPAB and FQCD be two asymptotic triangles. If angle APE is congruent to angle CQF and angle PAB = angle QCD, then AP = CQ.

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: Given ACON and AVEX. Which similarity theorem will justify that these two triangles are similar with…

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Q: If ABCD is a cyclic quadrilateral and AB and DC are produced to meet at Q, and Bo and AD are…

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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 AABC have incircle C(O,r), and let the points of tangency of C(0,r) with BC, AC, AB be D, E and…

A: Tangent is a line that just touches the figure.  Angle bisectors are those line segments that…

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: Given: AJKM M Explain how to construct a triangle that is congruent to AJKM. K

A: Draw a line from J in the lower side such that this line is parallel to MK.  Let's say that line…

Q: What additional information is needed in order to prove that the triangles are congruent by the ASA…

A: Given,

Q: Determine which congruence method can be used to prove that the given triangles are congruent. AA.…

A: 1) Given triangles ΔABC ≃ ΔPQR

Q: Which two triangles are congruent by the ASA Theorem? Complete the congruence statement. E H. Y G

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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: Which of the following can be used to show that these triangles are congruent?

A: we can answer is as below using the triangle property

Q: AB is perpendicular to AD CB is perpendicular to CD DA is congruent to DC Prove: Triangle ABD is…

A: 1. Statement: AB¯⊥AD¯, CB¯⊥CD¯, DA¯≅DC¯ Reason: Given data of the problem. 2. Statement: ∠A and ∠C…

Q: In triangle FIX, TT'is the perpendicular bisector of FX. Prove that the two triangles formed by the…

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Q: 9. If you know that Point M is the midpoint of TS and UR, which of the triangle congruence methods…

A: The solution is :

Q: Is enough information given to prove that AGHF = AKHJ using the SAS Congruence Theorem? G K. о yes O…

A: We have to test whether the given triangles are congruent or not

Q: A B D

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

Q: Which postulate could be used to prove the two triangles are congruent? A. SSS B. SAS C. ASA D. AAS

A: The given triangle is:

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: L is the midpoint of KN and MP, which rule will be used to justify and prove that both triangles are…

A: Two triangles are said to be congruent if their corresponding sides are of equal length and their…

Q: GIVEN: ARST [Figure 5.24(a)] with sides a, b, and c so that c2 = a² + b? PROVE: ARST is a right…

A: We have given triangle RST It is given that  c2=a2+b2

Q: Which method can be used to prove that the triangles are congruent? O SAS O ASA o Not possible with…

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Q: Given the following information about two triangles, A CAT and A DOG : ZC 설 ZD CA DO AT 스 OG CT - DG…

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Q: Given the following infromation about tow triangles, CAT and DOG C=D CA=DO AT=OG CT=DG WHich…

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Q: The figure shows quadrilateral RSUV with RV || SU and congruent segments as marked. R

A: To Prove: The side RU bisect SV. Concept used: ASA congruency: If two angles and the included side…

Q: where ABC is an isosceles triangle in which AB = AC. P is any point in the interior of AABC such…

A: Given:    AB = AC   <ABP = <ACP

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: State what additional information is required in order to know the triangles are congruent using the…

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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: In the diagram, ACDE is a cyclic quadrilateral, Lines GAB and FEHC are paraliel, and line GAB is a…

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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: What additional information is required in order to know that the triangles are congruent for the…

A: In 17th qstn  CD~IH Angle C ~ angle H  So one more side is required Then by SAS rule  Both triangle…

Q: Given that AD and AB are congruent, and DC = BC, use a triangle congruence criterion to prove that…

A: Prove that Angels DAC and BAC are the same size

Q: In the accompanying figure, ABCD is a trapezoid in which AD|BC and AD> BC. Prove that if AB=CD, then…

A: To prove the given angle

Q: A student draws AXY Z and AEFG so that mX = m/E = 29.5", XY = EF = 47 mm, and XZ = EG = 63 mm. Which…

A: We have,    Side(XY)= side(EF)    Angle(x)= Angle(E)    Side(XZ)=side(EG)

Q: at additional information is necessary to prove each pair of triangles congruent by the…

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Q: In ARAE and ATAE, ZRAE is adjacent to 2TAE. RA AT and RE ET. Prove that the two triangles are…

A: We will use the criteria for congruence  of triangles.

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: No three of the points A, B, C, D are collinear. Prove that the angle between the circumcircles of…

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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: Decide which method, SAS, ASA, AAS, or HL, can be used to prove that the triangles are congruent.

A: Given figure, we have to decide which method can be used to prove that triangles are congruent.

Q: SAS SAA HL ASA SS SSA ADA4 Hint

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Q: Given: QR = HI and RS = IJ. ZQ = ZH %3D If the triangles are congruent, fill in the statements. If…

A: Given Two triangles, triangle RQS & triangle IHJ are given. TO Find To check the congruency in…

Q: ect the triangle congruence theorem that proves these two triangles congruent, if possible. If the

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Q: 7 cm 30 30 7 cm A B D C

A: Topic = Triangles

Q: GIven that ZA,2B, LC E{ angles } such tha F ZA and <B are complementary and that <A and 2 C are…

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

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Q: Let AABC have incircle C(O,r), and let the points of tangency of C(O,r) with BC , AC, AB be D, E and…

A: Given a triangle ABC, in which a circle is inscribed with center at O and radius r as shown in the…

Q: Determine whether the triangles are similar. If they are type "SSS", "SAS", or “AA" for the…

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