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

answer is b on edge

Explanation:

Answer 2

∠B ≅ ∠Y △ABC ~ △ZYX by the SAS similarity theorem.

Explanation:

1.
`AB=6` units

`YZ=3` units

`BC=8` units

`XY=4` units, then

`(AB)/(ZY)=(BC)/(YX)=2`

2.
`\angle B` and
`\angle Y` are right angles - given

3.
`\angle B\cong \angle Y` two right angles are always congruent.

4.
`\triangle ABC\sim \triangle ZYX` by SAS similarity theorem.

SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.