Unit Test Unit Test Review geometry 100%

Consider the diagram. The congruence theorem that can be used to prove △BAE ≅ △CAD is

D. HL.

What are the rigid transformations that will map △ABC to △DEF?

D. Translate vertex A to vertex D, and then rotate △ABC around point A to align the sides and angles.

Which rigid transformation would map ABC to EDC?

D. a rotation about point C

The proof that UX ≅ SV is shown. Given: △STU an equilateral triangle ∠TXU ≅ ∠TVS Prove: UX ≅ SV What is the missing statement in the proof?

D. △TUX ≅ △TSV

Nessa proved that these triangles are congruent using ASA. Roberto proved that they are congruent using AAS. Which statement and reason would be included in Roberto's proof that was not included in Nessa's proof? Given: B ≅ N; BC ≅ NM; C is right; M is rightProve: ABC ≅ QNM

A. A ≅ Q because of the third angle theorem.

Given: HF || JK; HG ≅ JGProve: FHG ≅ KJG To prove that the triangles are congruent by ASA, which statement and reason could be used as part of the proof?

A. FGH ≅ KGJ because vertical angles are congruent.

Which congruence theorem can be used to prove △BDA ≅ △DBC?

A. HL.

Is ΔWXZ ≅ ΔYZX? Why or why not?

A. Yes, they are congruent by SAS.

The proof that ΔRST ≅ ΔVST is shown. Given: ST is the perpendicular bisector of RV.Prove: ΔRST ≅ ΔVST What is the missing reason in the proof?

A. perpendicular bisector theorem

Which congruence theorems can be used to prove ΔABR ≅ ΔACR? Select three options.

A.HL B.SAS C.SSS

Which pair of triangles can be proven congruent by SAS?

B.

Could ΔABC be congruent to ΔADC by SSS? Explain.

B. Yes, but only if BC ≅ DC.

How can ΔABC be mapped to ΔXYZ? First, translate ____________________. Next, rotate ΔABC about B to align the sides and angles.

B. vertex B to vertex Y

Which rigid transformation would map ΔABC to ΔABF?

C. a reflection across the line containing BA

Triangle DEF is congruent to D'EF' by the SSS theorem. Which single rigid transformation is required to map DEF onto D'EF'?

C. rotation