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

Question

6 days ago

6

SAS similarity theorem. = 2 △ABC ~ △ZYX by the SSS similarity theorem. = 2 △ABC ~ △ZYX by the SSS similarity theorem.

2 answers:

lawyer [9.2K] · Answer 1 · 2026-03-21T17:40:16+03:00

Solution:

We aim to prove that,

△ABC is similar to △Z Y X by SAS.

Given that, ∠X is congruent to ∠C.

It's crucial to keep in mind that two triangles are considered similar using SAS if

1. The sides included between the angles must be in proportion.

$\frac{BC}{XY}=\frac{AC}{XZ}$

2. Now, we must verify that,

△ABC is similar to △Z Y X following SAS criteria.

It is given that, ∠B coincides with ∠Y.

The side between the specified angles must also be proportional.

$\frac{BA}{ZY}=\frac{BC}{XY}$

3. Next, we'll establish that,

△ABC is similar to △Z Y X according to the SSS principle.

All three sides of the two triangles should be proportional.

$\frac{BC}{XY}=\frac{AB}{ZY}=\frac{AC}{XZ}$

Zina [9.1K] · Answer 2 · 2026-03-21T17:39:48+03:00

4 0

Answer:

B

Step-by-step clarification: