Question

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.

Answer 1

@nincompoop

Answer 2

@nincompoop ?

Answer 3

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

Answer 4

k

Answer 5

how do i find out angle b and c

Answer 6

?

Answer 7

so c is 77

Answer 8

and b is 13?

Answer 9

i am confused someone please help

Answer 10

@welshfella do you get it ?

Answer 11

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

Answer 12

all angles added up must equal 160 right?

Answer 13

?

Answer 14

yes that is what you use to fin B'

Answer 15

b is 13 and c is 77

Answer 16

am i right?

Answer 17

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

Answer 18

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

Answer 19

= 180 - 147

Answer 20

180

Answer 21

33

Answer 22

b is 33

Answer 23

c is 97

Answer 24

so what do i do next

Answer 25

?

Answer 26

they have the same sides

Answer 27

right
So we have the 2 corresponding base angles in each triangle equal.
that is m< A = m<A' and m<B = m< B'. This proves that the 2 triangles are similar.

Answer 28

k

Answer 29

so what should i write?

Answer 30

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

Answer 31

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

Answer 32

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.

Answer 33

so how should i write my answer out?

Answer 34

Ok that makes sense.

Answer 35

what should i write for my answer

Answer 36

?

Answer 37

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.

Answer 38

kthx

Answer 39

yw

Answer 40

i will write it and you proof read ok?

Answer 41

ok

Answer 42

good?

Answer 43

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

Answer 44

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

Answer 45

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

Answer 46

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

Answer 47

Angle-Angle etc

Answer 48

docent the c angle make is sound better

Answer 49

in the fist line angle C = 97 not 9

Answer 50

lol typo thx

Answer 51

better ?

Answer 52

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.

Answer 53

k

Answer 54

I mean the line starting If 2 angles...

Answer 55

Looks good.

Answer 56

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

Answer 57

perfect right?

Answer 58

?

Answer 59

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

Answer 60

perfect?

Answer 61

yes

Answer 62

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

Answer 63

gtg
its getting late over here now

Answer 64

ok thx

Answer 65

and i have an early start in the morning.

Answer 66

yw

Answer 67

good luck i forgot school starts tommorw lol