In Exercises 1-3, decide whether enough information is given to prove that the triangles are congruent using either the sss Congruence Theorem (Theorem 5.8) or the HL Congruence Theorem (Theorem 5.9). Explain. 1. 2. 3.

Q: What additional information is needed to prove the triangles are congruent by the SAS Postulate?

A: In ∆WXY and ∆WZY WX=WZ Assumption∠XWY =∠YWZ (Given)WY =WY (Common)∆WXY=∆WZY By SAS CONGRUENCY

Q: W Y

A: Solve for SAS

Q: Prove if a quadrilateral ABCD is cyclic, then its opposite angles are supplementary.

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 4. Prove that triangle ABC with A(3, 6), B(4, -1), C(-2, 1) shown below is isosceles.

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Q: AABC = AFED because of F E.

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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: 3. Conduct a formal proof to prove that the diagonals of an isosceles trapezoid are congruent.

A: Given: Consider the isosceles trapezoid ABCD shown below: AB=CD To prove: AC≅BD

Q: State the theorem that proves that the pair of triangles are congruent. 2. 1. 3. 4. 5.

A: We have to give the names of congruency with which the given triangles are congruent.

Q: In the diagram below, AB = AD and BC = CD. Use the Perpendie Bisector Theorem to prove that AC 1 BD.…

A: Given AB is congruent to AD Also BC is congruent to CD First we check the triangles ADC  and ABC…

Q: 13. IF THESE TRIANGLES ARE CONGRUENT, WHAT THEOREM PROVES THIS?

A: Given figure,  if the triangles are congruent. we have to tell what theorem prove this.

Q: Use the SSS congruence theorem to show that every angle has exactly one bisector.

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Q: Is there enough information to prove these triangles are congruent? If so, how?

A: Consider the triangles given in figure, Let they are △ABD and △BCD.

Q: What additional inform ation is needed to prove the triangles are congruent by the Side-Angle-Side…

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

A: (1) Both triangles have a common hypotenuse and both are right-angled triangles. Given one side is…

Q: What information is needed to prove that MN_ is a perpendicular bisector to AB_?

A: Using perpendicular bisector Thereom,

Q: From the information given, can you prove the two triangles congruent using the SAS Congruence…

A: Given: To prove: Two triangles are congruent using the SAS congruence Postulate

Q: Which method listed below would not be used to prove that two triangles are congruent?

A: We know that when all three sets of corresponding angles are congruent then triangles can be similar…

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: Determine what additional pair of corresponding parts must be congruent to prove that the two…

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Q: Which theorem would show that the two right triangles are congruent? A. SAS Triangle Congruence…

A: To write by which theorem triangles are congruent

Q: If possible, identify the congruence postulate that proves the triangles below to be congruent. 丰

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Q: Compute the Cartesian form of z (i.e., z = a + ib) and show all steps. Also, what are the angles of…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: What additional information is needed to prove the triangles congruent? What theorem of postulate…

A: We know that, RHS congruence theorem states that, if the hypotenuse and side of one right-​angled…

Q: From the information given, can you prove the two triangles congruent using the SAS Congruence…

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Q: Identify the postulate or theorem which proves the following triangles are congruent. Select from…

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Q: ABCD is a quadrilateral and G, H are the middle points of AC, DB. If CB, DA are produced to meet in…

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Q: In Exercises 1-3, decide whether enough information is given to prove that the triangles are…

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Q: decide whether enough information is given to prove that the triangles are congruent using the SAS…

A: The equal sides and equal angles of two triangles are shown in diagram above.

Q: These triangles are congruent by the triangle congruence postulate [ ? ].

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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: Let A, be the center of the square inscribed in acute triangle ABC with two vertice side BC (as…

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

A: Consider

Q: Which postulate, SSS or SAS, would prove the triangles congruent? Explain. C

A: Given: Here, AB = CD and BE = CE. So, AE must be equal to DE.

Q: 17 = Y7 DIm a In Exercises 19 and 20, the triangles to be proved congruent have been redrawn…

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Q: . Prove the SSS triangle congruence condition by using the Hinge Theorem

A: let the two triangle prove the triangle congruence condition by using hinge theorem.

Q: U K

A: Explanation: Two triangles are similar if two corresponding angles are equal. It can be observed…

Q: 1. A D C SAA Congruence Theorem

A: Given: ∠ABC≅∠DEF∠BCA≅∠EFD To Find: To determine what additional pair of corresponding parts must be…

Q: What information could not be used to prove the congruence of the triangles using the SAS Congruence…

A: in given triangle  AC=DFAB=DEm∠A=m∠DTherefore△ABC≅△DEF

Q: 3. Which congruence postulate can be used to prove AEDA ACDA if AACE is equilateral and ED 2 CD? B…

A: Which conguruence property satisfies bith the triangles.

Q: 44. Prove: The diagonals of an isosceles trapezoid are congruent.

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

A: Given problem:-

Q: The HL congruence theorem works only for right triangles. O True False

A: The hypotenuse leg theorem states that two right triangles are congruent if the hypotenuse and one…

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

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Q: A HL Congruence Theorem

A: HL congruence theorem stands for hypotenuse leg congruence theorem. Triangles △ANS and ∆WNS are two…

Q: In the figure, QN is the perpendicular bisector of LM. M Which of the following can be used to prove…

A: We can prove the given result by using SAS theorem  of congruence. SAS THEOREM : lf the two sides…

Q: It is about proofs.

A: Draw a circle. Let AB is the diameter. AC and BD are two chords from the ends of the diameter so…

Q: In Exercises 9-14, decide whether enough information is given to prove that the triangles are…

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next…

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

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Q: These figures are congruent. What is mZA?

A: Given,           The figures are congruent.

Q: What additional information would be necessary to prove that the two triangles, triangle XBY and…

A: Given: