College

We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

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

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

Answer :

The two triangles are similar by SAS theorem

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔPQR

Let the second triangle be ΔXYZ

Now , the corresponding sides are

Now two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

And , corresponding sides of similar triangles are in the same ratio

On simplifying , we get

QP / PR = YX / XZ

Hence , the triangles are similar

To learn more about similar triangles click :

https://brainly.com/question/29378183

#SPJ7

Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

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~~