Question

Which two statements are missing in steps 3 and 4? ∠X ≅ ∠C △ABC ~ △ZYX by the SAS similarity theorem. ∠B ≅ ∠Y △ABC ~ △ZYX by the SAS similarity theorem. = 2 △ABC ~ △ZYX by the SSS similarity theorem. = 2 △ABC ~ △ZYX by the SSS similarity theorem.

Answer 1

The missing statements in steps 3 and 4 are ∠A ≅ ∠Z and ∠BAC ≅ ∠YXZ.

Step-by-step explanation:

The missing statements in steps 3 and 4 are:

1. ∠A ≅ ∠Z
2. ∠BAC ≅ ∠YXZ

These statements are missing in steps 3 and 4 of the proof because they are not necessary for the conclusion to be valid. The SAS (Side-Angle-Side) similarity theorem states that if two triangles have two pairs of corresponding sides that are proportional and the included angles are congruent, then the triangles are similar.

Steps 1 and 2 of the proof show that ∠X ≅ ∠C and ∠B ≅ ∠Y, which satisfies the angle congruence condition of the SAS theorem. Therefore, these missing statements are not needed to prove the similarity of the triangles.

Answer 2

B

Step-by-step explanation: