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.

- max1409

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- max1409

@nincompoop

- max1409

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- max1409

@nincompoop ?

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## More answers

- nincompoop

If there are two pairs of corresponding angles and a pair of corresponding opposite sides that are equal in measure, then the triangles are congruent. http://www.mathopenref.com/congruentaas.html

- max1409

k

- max1409

how do i find out angle b and c

- max1409

?

- max1409

so c is 77

- max1409

and b is 13?

- max1409

i am confused someone please help

- max1409

@welshfella do you get it ?

- welshfella

first work out the measure of angle B'. Can you do that?

- max1409

all angles added up must equal 160 right?

- max1409

?

- welshfella

yes that is what you use to fin B'

- max1409

b is 13 and c is 77

- max1409

am i right?

- welshfella

??
B' = 180 - 50 - 97 = ?

- max1409

wait do angle need to add up to 180 or 160?

- welshfella

= 180 - 147

- welshfella

180

- max1409

33

- max1409

b is 33

- max1409

c is 97

- max1409

so what do i do next

- max1409

?

- max1409

they have the same sides

- max1409

k

- max1409

so what should i write?

- welshfella

I guess that is the Angle Angle Similarity Postulate mentioned in the question. I never heard of that in th UK.

- welshfella

well those 2 angles being equal satisfies the postulate. Therefore the triangles are similar.

- max1409

Corresponding angles are congruent. When the corresponding angles of two or more triangles are congruent, the triangles are similar.
This is known as the Angle-Angle Similarity Postulate. Similar triangles are marked with a ~ symbol, so ΔABC ~ ΔA'B'C'.
The third angles are congruent, too. Why do you think mathematicians don't call it the Angle-Angle-Angle Similarity Postulate? If two angles of a triangle are equal to two angles of another triangle, the third angles must be congruent because all triangles have a total angle measure of 180°. So putting another "Angle" in the name is unnecessary.

- max1409

so how should i write my answer out?

- welshfella

Ok that makes sense.

- max1409

what should i write for my answer

- max1409

?

- welshfella

Fisrt show how you worked out that angle B' = 33.
Then say angle A is congruent to angle A' because they are both 50 degrees
similar thing for angle B and B'
Thus triangles ABC and A'B'C' are similar because they satisfy the postulate (write that in full).
And that's it.

- max1409

kthx

- welshfella

yw

- max1409

i will write it and you proof read ok?

- welshfella

ok

- max1409

good?

- welshfella

there's no need to find the value of angle C -, just B'

- welshfella

no need to mention C and C' either
And write the postulate in full.

- max1409

what do you mean write the the post;ate in full

- welshfella

If 2 angles are congruent then the 3rd must be congruent also

- welshfella

Angle-Angle etc

- max1409

docent the c angle make is sound better

- welshfella

in the fist line angle C = 97 not 9

- max1409

lol typo thx

- max1409

better ?

- welshfella

yea OK . Leave the statements about angles C and C' in if you want to though they are not necessary. If you leave them in then leave the last sentence out.

- max1409

k

- welshfella

I mean the line starting If 2 angles...

- welshfella

Looks good.

- max1409

i just noticed i have to use Angle-Angle Similarity Postulate to prove this

- max1409

perfect right?

- max1409

?

- welshfella

You have . Oh one thing Instead of 'Which makes' write 'Which proves '
(in the third line)

- max1409

perfect?

- welshfella

yes

- max1409

just curious are you going to be on for a long time?

- welshfella

gtg
its getting late over here now

- max1409

ok thx

- welshfella

and i have an early start in the morning.

- welshfella

yw

- max1409

good luck i forgot school starts tommorw lol

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