anonymous
  • anonymous
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
Geometry
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
1 Attachment
Mertsj
  • Mertsj
Why did you post this again?
anonymous
  • anonymous
Sorry, Im still very confused with the question.

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Mertsj
  • Mertsj
What is the angle-angle similarity postulate?
anonymous
  • anonymous
When two triangles have corresponding angles that are congruent, right?
Mertsj
  • Mertsj
Look it up and post it accurately.
anonymous
  • 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
  • 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
  • Mertsj
Can you show that two angles are congruent?
anonymous
  • anonymous
Yes, but im not sure how to
Mertsj
  • Mertsj
What does congruent mean?
anonymous
  • anonymous
Similar
Mertsj
  • Mertsj
Look up the meaning of congruent angles.
anonymous
  • anonymous
Angles that have the same degrees or radians
Mertsj
  • Mertsj
In other words, they have equal measures.
Mertsj
  • Mertsj
Now, can you show that two angles are congruent?
anonymous
  • anonymous
well i know ab and a'b' have the same measurements
Mertsj
  • Mertsj
How many degrees is angle A?
anonymous
  • anonymous
32
Mertsj
  • Mertsj
How many degrees is angle A' ?
anonymous
  • anonymous
32 as well
Mertsj
  • Mertsj
Is 32 degrees equal to 32 degrees?
anonymous
  • anonymous
yes
Mertsj
  • Mertsj
So do angles A and A' have the same measure?
anonymous
  • anonymous
yes
Mertsj
  • Mertsj
So are angles A and A' congruent since they have the same measure?
anonymous
  • anonymous
yes
Mertsj
  • 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
  • anonymous
2 and both b and b' have the same measurements
Mertsj
  • Mertsj
That would be B and B'. You are not allowed to change the name of the angle.
anonymous
  • anonymous
oh sorry
Mertsj
  • 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
  • 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
  • anonymous
Thank you very much
Mertsj
  • Mertsj
yw

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