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State if the triangles are similar. If so, how do you know they are similar and complete the similarity statement.
ΔFED
~ ____

State if the triangles are similar If so how do you know they are similar and complete the similarity statement ΔFED class=

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Polyblock

Answer:

FED ~ MLF

Step-by-step explanation:

∠L = ∠E

∠F = ∠F

Since both angles are congruent, that would mean all angles are congruent.

If all angles are congruent, then the triangles are always similar no matter the length of the sides.

The complete statement is [tex]\triangle FED\sim \triangle FLM[/tex].

What are the similar triangles?

Similar triangles are the triangles that have the same shape, but their sizes may vary.

What is AA or angle angle similarity rule?

If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.

What are vertically opposite angles?

When two lines intersect each other, then the opposite angles are formed due to intersection are called vertical angles or vertically opposite angles.

According to the given question.

We have two triangles LMF and EDF

In triangles LMF and EFD we have

∠MLF = ∠DEF   (given)

Also, ∠MFL = ∠DFE   (vertically opposite angles)

Since, we know that " if any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other".

Therefore, by AA similarity criteria triangle FED is similar to FLM.

Hence, the complete statement is [tex]\triangle FED\sim \triangle FLM[/tex].

Find out more information about AA similarity rule and vertically opposite angles here:

https://brainly.com/question/10069556

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