max1409
  • max1409
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.
Mathematics
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max1409
  • max1409
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.
Mathematics
schrodinger
  • schrodinger
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max1409
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  • max1409
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More answers

nincompoop
  • 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
  • max1409
k
max1409
  • max1409
how do i find out angle b and c
max1409
  • max1409
?
max1409
  • max1409
so c is 77
max1409
  • max1409
and b is 13?
max1409
  • max1409
i am confused someone please help
max1409
  • max1409
@welshfella do you get it ?
welshfella
  • welshfella
first work out the measure of angle B'. Can you do that?
max1409
  • max1409
all angles added up must equal 160 right?
max1409
  • max1409
?
welshfella
  • welshfella
yes that is what you use to fin B'
max1409
  • max1409
b is 13 and c is 77
max1409
  • max1409
am i right?
welshfella
  • welshfella
?? B' = 180 - 50 - 97 = ?
max1409
  • max1409
wait do angle need to add up to 180 or 160?
welshfella
  • welshfella
= 180 - 147
welshfella
  • welshfella
180
max1409
  • max1409
33
max1409
  • max1409
b is 33
max1409
  • max1409
c is 97
max1409
  • max1409
so what do i do next
max1409
  • max1409
?
max1409
  • max1409
they have the same sides
welshfella
  • welshfella
right So we have the 2 corresponding base angles in each triangle equal. that is m< A = m
max1409
  • max1409
k
max1409
  • max1409
so what should i write?
welshfella
  • welshfella
I guess that is the Angle Angle Similarity Postulate mentioned in the question. I never heard of that in th UK.
welshfella
  • welshfella
well those 2 angles being equal satisfies the postulate. Therefore the triangles are similar.
max1409
  • 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
  • max1409
so how should i write my answer out?
welshfella
  • welshfella
Ok that makes sense.
max1409
  • max1409
what should i write for my answer
max1409
  • max1409
?
welshfella
  • 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
  • max1409
kthx
welshfella
  • welshfella
yw
max1409
  • max1409
i will write it and you proof read ok?
welshfella
  • welshfella
ok
max1409
  • max1409
good?
welshfella
  • welshfella
there's no need to find the value of angle C -, just B'
welshfella
  • welshfella
no need to mention C and C' either And write the postulate in full.
max1409
  • max1409
what do you mean write the the post;ate in full
welshfella
  • welshfella
If 2 angles are congruent then the 3rd must be congruent also
welshfella
  • welshfella
Angle-Angle etc
max1409
  • max1409
docent the c angle make is sound better
welshfella
  • welshfella
in the fist line angle C = 97 not 9
max1409
  • max1409
lol typo thx
max1409
  • max1409
better ?
welshfella
  • 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
  • max1409
k
welshfella
  • welshfella
I mean the line starting If 2 angles...
welshfella
  • welshfella
Looks good.
max1409
  • max1409
i just noticed i have to use Angle-Angle Similarity Postulate to prove this
max1409
  • max1409
perfect right?
max1409
  • max1409
?
welshfella
  • welshfella
You have . Oh one thing Instead of 'Which makes' write 'Which proves ' (in the third line)
max1409
  • max1409
perfect?
welshfella
  • welshfella
yes
max1409
  • max1409
just curious are you going to be on for a long time?
welshfella
  • welshfella
gtg its getting late over here now
max1409
  • max1409
ok thx
welshfella
  • welshfella
and i have an early start in the morning.
welshfella
  • welshfella
yw
max1409
  • max1409
good luck i forgot school starts tommorw lol

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