TRIANGLE CONGRUENCE EXAM QUESTIONS AND ANSWERS LATEST UPDATE 2025
If VX = WZ = 40 cm and m∠ZVX = m∠XWZ = 22°, can ΔVZX and ΔWXZ be proven congruent by SAS?
Why or why not? - Answers No, there is not enough information given
Two rigid transformations are used to map ΔABC to ΔXYZ. The first is a translation of vertex A to vertex
X. What is the second transformation? - Answers a reflection across the line containing AB
Which of these triangle pairs can be mapped to each other using a single translation? - Answers D
The proof that ΔACB ≅ ΔECD is shown.
Given: AE and DB bisect each other at C.Prove: ΔACB ≅ ΔECD
What is the missing statement in the proof? - Answers ∠ACB ≅ ∠ECD
Which rigid transformation would map ΔAQR to ΔAKP? - Answers a rotation about point A
Which of these triangle pairs can be mapped to each other using a single reflection? - Answers A
In the diagram, KL ≅ NR and JL ≅ MR. What additional information is needed to show ΔJKL ≅ ΔMNR by
SAS? - Answers ∠L ≅ ∠R
The proof that ΔEFG ≅ ΔJHG is shown.
Given: G is the midpoint of HF, EF ∥ HJ, and EF ≅ HJ.
Prove: ΔEFG ≅ ΔJHG
What is the missing statement in the proof? - Answers ∠GFE ≅ ∠GHJ
We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The
base angles of the isosceles triangle, ∠MNS and ∠NQS, are congruent by the isosceles triangle
theorem. It is also given that MR and NQ bisect each other at S. Segments _______ are therefore
congruent by the definition of bisector. Thus, ∆MNS ≅ ∆QNS by SAS - Answers NOT: NS and RS
Which of these triangle pairs can be mapped to each other using both a translation and a rotation about
C? - Answers D
For the triangles to be congruent by SSS, what must be the value of x? - Answers 6
Examine this figure. Which two pieces of information, if true, would help to prove that ΔLMP ≅ ΔNMP
by HL? Select two options. - Answers Line MK is the perpendicular bisector of LN.
ML ≅ MN
For the triangles to be congruent by HL, what must be the value of x? - Answers 4
Which transformation(s) can map ∆PQR onto ∆STU? - Answers reflection, then translation
If VX = WZ = 40 cm and m∠ZVX = m∠XWZ = 22°, can ΔVZX and ΔWXZ be proven congruent by SAS?
Why or why not? - Answers No, there is not enough information given
Two rigid transformations are used to map ΔABC to ΔXYZ. The first is a translation of vertex A to vertex
X. What is the second transformation? - Answers a reflection across the line containing AB
Which of these triangle pairs can be mapped to each other using a single translation? - Answers D
The proof that ΔACB ≅ ΔECD is shown.
Given: AE and DB bisect each other at C.Prove: ΔACB ≅ ΔECD
What is the missing statement in the proof? - Answers ∠ACB ≅ ∠ECD
Which rigid transformation would map ΔAQR to ΔAKP? - Answers a rotation about point A
Which of these triangle pairs can be mapped to each other using a single reflection? - Answers A
In the diagram, KL ≅ NR and JL ≅ MR. What additional information is needed to show ΔJKL ≅ ΔMNR by
SAS? - Answers ∠L ≅ ∠R
The proof that ΔEFG ≅ ΔJHG is shown.
Given: G is the midpoint of HF, EF ∥ HJ, and EF ≅ HJ.
Prove: ΔEFG ≅ ΔJHG
What is the missing statement in the proof? - Answers ∠GFE ≅ ∠GHJ
We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The
base angles of the isosceles triangle, ∠MNS and ∠NQS, are congruent by the isosceles triangle
theorem. It is also given that MR and NQ bisect each other at S. Segments _______ are therefore
congruent by the definition of bisector. Thus, ∆MNS ≅ ∆QNS by SAS - Answers NOT: NS and RS
Which of these triangle pairs can be mapped to each other using both a translation and a rotation about
C? - Answers D
For the triangles to be congruent by SSS, what must be the value of x? - Answers 6
Examine this figure. Which two pieces of information, if true, would help to prove that ΔLMP ≅ ΔNMP
by HL? Select two options. - Answers Line MK is the perpendicular bisector of LN.
ML ≅ MN
For the triangles to be congruent by HL, what must be the value of x? - Answers 4
Which transformation(s) can map ∆PQR onto ∆STU? - Answers reflection, then translation
