Question

help☹️
Which similarity postulate or theorem can be used to verify that the two
triangles shown below are similar?
12
R
X 2 Z
OA. SAS theorem
B. AA postulate
OC. Similarity cannot be determined.
OD. SSS theorem
P
6

Answer 1

Triangle Congruence

Which similarity postulate or theorem can be used to verify that the two triangles shown below are similar?

Answer:

• Letter A. SAS theorem

Explanation:

• Why SAS theorem? As I can see, ∠RPQ and ∠ZXY are SAS theorem. What I have noticed first is the length of each triangles, which is 6 and 2. Then followed by the angle until it reaches the width of each triangles, which is 12 and 4. So therefore I conclude that this theorem is SAS theorem.

Wxndy~~

Answer 2

Answer:

A. SAS theorem

Step-by-step explanation:

In each triangle two sides are known and one angle, which measures 90°.

We have side, then angle, then another side - so it's going to be SAS theorem. (side-angle-side theorem).

One more thing you have to do is to check if corresponding sides are in the same ratio.

$\frac{QP}{YX} = \frac{12}{4} = 3$

$\frac{PR}{XZ} = \frac{6}{2} = 3$

They are in the same ratio so similarity can be determined. Triangles are similar by SAS theorem.