How can the Angle-Angle Similarity Postulate be used to prove the two triangles below are similar? Explain your answer using complete sentences, and provide evidence to support your claims

- anonymous

- jamiebookeater

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- anonymous

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- Mertsj

Why did you post this again?

- anonymous

Sorry, Im still very confused with the question.

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## More answers

- Mertsj

What is the angle-angle similarity postulate?

- anonymous

When two triangles have corresponding angles that are congruent, right?

- Mertsj

Look it up and post it accurately.

- anonymous

The AA similarity postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar

- Mertsj

So if you can show that two angles of the first triangle are congruent to two angles of the second triangle, then you can state that the triangles are similar by the AA similarity postulate.

- Mertsj

Can you show that two angles are congruent?

- anonymous

Yes, but im not sure how to

- Mertsj

What does congruent mean?

- anonymous

Similar

- Mertsj

Look up the meaning of congruent angles.

- anonymous

Angles that have the same degrees or radians

- Mertsj

In other words, they have equal measures.

- Mertsj

Now, can you show that two angles are congruent?

- anonymous

well i know ab and a'b' have the same measurements

- Mertsj

How many degrees is angle A?

- anonymous

32

- Mertsj

How many degrees is angle A' ?

- anonymous

32 as well

- Mertsj

Is 32 degrees equal to 32 degrees?

- anonymous

yes

- Mertsj

So do angles A and A' have the same measure?

- anonymous

yes

- Mertsj

So are angles A and A' congruent since they have the same measure?

- anonymous

yes

- Mertsj

Now we have shown 1 angle of the first triangle is congruent to 1 angle of the second triangle. How many angles must we show are congruent to have AA similarity?

- anonymous

2 and both b and b' have the same measurements

- Mertsj

That would be B and B'. You are not allowed to change the name of the angle.

- anonymous

oh sorry

- Mertsj

So now, having shown that angles A and A' are congruent and B and B' are congruent, you can state that the two triangles are similar because of the AA similarity postulate.

- Mertsj

And I hope you have discovered that even the simplest geometry problem is impossible if you don't know the meaning of the words.

- anonymous

Thank you very much

- Mertsj

yw

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