Triangle Congruence Unit Test Exam with verified solutions 2024

Three quadrilaterals exist such that GHJK ≅ ASDF and GHJK ≅ VBNM. If MV measures 3 cm, which other segment must measure 3 cm? AF KJ FD GJ A The proof that ΔQPT ≅ ΔQRT is shown. Given: SP ≅ SRProve: ΔQPT ≅ ΔQRT What is the missing reason in the proof? definition of perpendicular bisector definition of congruence reflexive property substitution property B Which congruence theorem can be used to prove △WXS ≅ △YZS? SSS ASA SAS HL D Given: RS bisects ∠MRQ; ∠RMS ≅ ∠RQS Which relationship in the diagram is true? ΔMNR ≅ ΔMNS by ASA ΔRMS ≅ ΔRQS by AAS ΔSNQ ≅ ΔSNM by SSS ΔQNR ≅ ΔMNR by HL B What additional information is needed to prove that the triangles are congruent using the AAS congruence theorem? LO ≅ LM OA ≅ MA LOA ≅ LMA LAO ≅ LAM D How can a translation and a reflection be used to map ΔHJK to ΔLMN? Translate K to N and reflect across the line containing HJ. Translate K to N and reflect across the line containing JK. Translate H to L and reflect across the line containing JK. Translate K to L and reflect across the line containing HJ. B Triangle DEF is congruent to GHJ by the SSS theorem. Which rigid transformation is required to map DEF onto GHJ? dilation reflection rotation translation D Quadrilateral ABCD is translated down and left to form quadrilateral OLMN. If AB = 6 units, BC = 5 units, CD = 8 units, and AD = 10 units, what is LO? 5 units 6 units 8 units 10 units B Two rigid transformations are used to map ABC to QRS. The first is a translation of vertex B to vertex R. What is the second transformation? a reflection across the line containing AB a rotation about point B a reflection across the line containing CB a rotation about point C A Two sides and the non-included right angle of one right triangle are congruent to the corresponding parts of another right triangle. Which congruence theorem can be used to prove that the triangles are congruent? AAS SSS SAS HL D