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

Solution:

We have to prove that ,

△ABC ~ △Z Y X   Using SAS.

It is given that , ∠X ≅ ∠C .

You must keep in mind when two triangles are similar by S A S

1. The included side between the angle should be Proportional.

   $\frac{BC}{XY}=\frac{AC}{XZ}$

2. We have to prove that ,

△ABC ~ △Z Y X   Using SAS.

It is given that , ∠B ≅ ∠Y .

The included side between the given angle should be Proportional.

   $\frac{BA}{ZY}=\frac{BC}{XY}$

3. We have to prove that ,

△ABC ~ △Z Y X   Using SSS.

The three sides of two triangles must be Proportional.

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

Answer 2

Answer:

B

Step-by-step explanation: