Question

Are the triangles Similar? (yes or no). If yes, by what

method? If they are similar, write a similarity statement
You must show all corresponding work. This is not a proof.
our answer.​

Answer 1

The triangles are not similar

Explanation:

we know that

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

Triangle X.Y.Z

`\angle X=61^o`

`\angle Z=90^o`

`\angle Y=90^o-61^o=29^o` ---> angle X and angle Y are complementary angles

Triangle H.G.J

`\angle H=90^o-34^o=56^o` ---> angle H and angle J are complementary angles

`\angle G=90^o`

`\angle J=34^o`

so

X.Y.Z is a
`61^o-90^o-39^o` triangle

H.G.J is a
`56^o-90^o-34^o` triangle

The measure of its corresponding angles are not congruent

therefore

The triangles are not similar