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Are triangles ABC and DEF similar triangles? Explain your reasoning.

Are triangles ABC and DEF similar triangles? Explain your reasoning.-example-1

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Answer:

(b) No, the triangles do not have congruent angles.

Explanation:

You want to know if triangle ABC with angles A=32° and B=60° is similar to triangle DEF with angles D=32° and F=38°.

Third angle

The third angle in ∆ABC is ...

C = 180° -A -B

C = 180° -32° -60° = 88°

If the triangles were similar, angle C would have the same measure as angle F.

We notice angle C = 88° and angle F = 38°. They are not congruent.

Are the triangles congruent?

(b) No, the triangles do not have congruent angles.

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