Triangle XYZ has been dilated to form triangle LMN. What is the least amount of information needed to prove the two triangles ar

Question

2 years ago

6

Triangle XYZ has been dilated to form triangle LMN. What is the least amount of information needed to prove the two triangles ar

e similar?
A.Two pairs of corresponding angles and one pair of corresponding sides

B.Two pairs of corresponding sides and one pair of corresponding angles

C.Two pairs of corresponding angles

D.Two pairs of corresponding sides

Mathematics

2 answers:

Rom4ik [11] · Answer 1 · 2022-08-01T03:41:39+03:00

Rom4ik [11]2 years ago

6 0

Two pairs of corresponding angles

Irina18 [472] · Answer 2 · 2022-08-01T06:07:03+03:00

Answer:

Option C is correct.

Two pairs of corresponding angles

Step-by-step explanation:

Given triangle XYZ has been dilated to form triangle LMN.

Dilation states that it is a transformation that produces an image that is the same shape as the original, but of a different size.

therefore, the triangle XYZ by a dilation is similar to triangle LMN

Similar figures have the

*same shape

*equal corresponding angle measures, and

*have proportional sides.

Therefore, the information which is needed to prove that two given triangles are similar is two pairs of corresponding angles