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

Question

anonymous · Answer

attachment

mertsj · Answer

Why did you post this again?

anonymous · Answer

Sorry, Im still very confused with the question.

mertsj · Answer

What is the angle-angle similarity postulate?

anonymous · Answer

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

mertsj · Answer

Look it up and post it accurately.

anonymous · Answer

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 · Answer

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 · Answer

Can you show that two angles are congruent?

anonymous · Answer

Yes, but im not sure how to

mertsj · Answer

What does congruent mean?

anonymous · Answer

Similar

mertsj · Answer

Look up the meaning of congruent angles.

anonymous · Answer

Angles that have the same degrees or radians

mertsj · Answer

In other words, they have equal measures.

mertsj · Answer

Now, can you show that two angles are congruent?

anonymous · Answer

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

mertsj · Answer

How many degrees is angle A?

anonymous · Answer

32

mertsj · Answer

How many degrees is angle A' ?

anonymous · Answer

32 as well

mertsj · Answer

Is 32 degrees equal to 32 degrees?

anonymous · Answer

yes

mertsj · Answer

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

anonymous · Answer

yes

mertsj · Answer

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

anonymous · Answer

yes

mertsj · Answer

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 · Answer

2 and both b and b' have the same measurements

mertsj · Answer

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

anonymous · Answer

oh sorry

mertsj · Answer

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 · Answer

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 · Answer

Thank you very much

mertsj · Answer

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