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Transcript
GEOMETRY/TRIGONOMETRY 2
Name _______________________
Postulate 15: AA Similarity Postulate
If two angles of one triangle are ______________ to two angles of another triangle,
then the triangles are similar.
If   and  ,
then ABC ~ _____
Theorem 7-1: SAS Similarity Theorem
If the angle of one triangle is ______________ to an angle of another triangle and the sides
including those angles are in ______________, then the triangles are similar.
If  and
AB

BC
,
then ABC ~ _____
Theorem 7-2: SSS Similarity Theorem
If the the sides of two triangles are in ______________, then the triangles are similar.
If
AB

BC

AC
,
then ABC ~ _____
The following triangles are similar by AA ~ Postulate. Show how the angles are
congruent. Then find the values of x and y.
1) x = _____ y = _____
2) x = _____ y = _____
3) x = _____ y = _____
Can the two triangles be proved similar? If so, state (a) the similarity and (b) which
similarity postulate or theorem you would use.
4) a) ABC ~ _____
b) ______
7) a) RST ~ _____
b) ______
5) a) GHI ~ _____
b) ______
8) a) XYZ ~ _____
b) ______
6) a) MNO ~ _____
b) ______
9) a) DEH ~ _____
b) ______