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WorksheetsProving Similar Triangles Using AA, SSS and SAS
Total questions: 15
Worksheet time: 15mins
Determine whether the triangles are similar or not. If so, state how they are similar.
Yes, by AA Similarity
Yes, by SAS Similarity
Yes, by SSS Similarity
No, not similar
What is the similarity statement for the triangle pair?
ΔXYZ~ΔNEW
ΔXZY~ΔNWE
ΔZYX~ΔENW
ΔYZX~ΔNWE
Find the missing side using proportions.
a
b
c
d
Find the missing side using proportions.
a
b
c
d
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
AA
SAS
SSS
Not Similar
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
AA
SAS
SSS
Not Similar
Are the triangles similar?
Yes
No
If two figures are similar, the corresponding sides are ______________.
equal
congruent
proportional
none of these
How do these triangles appear to be similar?
AA
SAS
SSS
Not Similar
The Angle-Angle Similarity (AA ~) Theorem states if two angles of one triangle are _______________ to two angles of another triangle, then the triangles are ____________________.
adjacent; equal
complementary; scalene
congruent; similar
supplementary; isosceles
The Side-Angle-Side Similarity (SAS ~) Theorem states that if two sides of one triangle are ________________ to two sides of another triangle and their _________________ angles are congruent, then the triangles are similar.
adjacent; intersect
complementary; form
adjacent; create
proportional; included
What additional information is required to prove the two triangles are congruent by SAS?
A)
B)
C)
D)
Find side length X.
16
18
2.4
15
The pair of figures are similar.
Find the missing side.
x = 1
x = 3
x = 9
x = 5
Determine if the triangles are similar. Justify.
Yes, SAS.
Yes, AA.
Yes, SSS.
No, not similar.
