Question

Select the correct answer. How could you show ZKMT ZRTL? K M 7.5 T Ο Α. О в. O C. 9 O D. R 15 12.5 L Use AA to show triangle RLT is similar to triangle KLM. Use SAS to show triangle RLT is similar to triangle KLM. Use SSS to show triangle RLT is similar to triangle KLM. Use SSS to show triangle RLT is similar to triangle MLK.​

Answer 1

B. Use SAS to show triangle RLT is similar to triangle KLM

Explanation:

There are three condition axioms for similar triangles:

Angle-Angle-Angle (AAA):

If two triangles have all corresponding angles equal, then the triangles are similar.

Side-Side-Side (SSS):

If two triangles have all corresponding sides proportional, then the triangles are similar.

Side-Angle-Side (SAS):

If two triangles have two corresponding sides proportional and the included angle is equal, then the triangles are similar.

In this case:

Two sides are proportional and one angle is common angle.

Proportional ratio is:

Big Triangle: Small Triangle

(15+9): 15 = 24 : 15 = 8:5

(7.5+12.5): 12.5 = 20: 12.5 = 8:5

and

common angle is angle L.

In this case, we use two sides and one angle and their side are proportional.

So,

the correct answer is:

B. Use SAS to show triangle RLT is similar to triangle KLM