Question

NEED HELP ASAP!!

7. Determine if the two triangles are similar. Explain your reasoning.
8. Determine if the two triangles are similar. Explain your reasoning.

Answer 1

Part 7) The triangles are not similar

Part 8) Triangles LER and DZR are similar by AA Similarity Postulate

Explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angle are congruent

so

Part 7) Verify the ratio of its corresponding sides

`(MR)/(CH)=(OR)/(CL)=(MO)/(CH)`

substitute the values

`(24.5)/(14)=(14)/(8)=(17.5)/(14)`

`1.75=1.75=1.25` -------> is not true

therefore

The triangles are not similar

Part 8) we know that

Triangles LER and DZR are similar by AA Similarity Postulate

because

`m<DRZ=m<LRE=31\°`

`m<DZR=m<LER=90\°`

`m<ZDR=m<ELR` -----> the sum of the interior angles of a triangle must be equal to 180 degrees

therefore

The three interior angles are congruent------> triangles LER and DZR are similar