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Honors Geometry
Similar Triangles WS
Honors Geometry
Similar Triangles WS
Honors Geometry
Similar Triangles WS
Honors Geometry
Similar Triangles WS
Honors Geometry
Similar Triangles WS
Name________________________________Date_________________________Blk_________
Determine whether the following pairs of triangles are similar. If the triangles are similar
then state the theorem or postulate. If not, then explain why not.
1.
2.
3.
Yes, AA similarity
4.
No…don’t have
Yes, SAS similarity
6 9

8 12
5.
the included angle.
6.
Yes, AA similarity
Yes, AA Similarity
(Use the parallel lines)
(Use the vertical Angles)
Yes, SSS Similarity
2 3 4
 
4 6 8
Identify the similar triangles in each figure. Explain why they are similar and use the given
information to find x and y.
7.
8.
ABC ~ ADE
AA Similarity
x=5
10
y=
3
3
9.
ABC ~ ADE
AA Similarity (shared angle)
x=5
DCE ~ ACB
AA Similarity (shared angle)
x = 16
y=3
y = 20
Honors Geometry
10.
Similar Triangles WS
11.
CMN ~ CAB
AA Similarity
56
AB =
3
28
BC =
3
16
BN =
3
QSM ~ PSR ~ NMR
AA Similarity
100
RN =
3
40
RP =
3
SP = 20
Identify each statement as true or false. If false, state why.
12. If the measures of the sides of one triangle are 5 times the measures of the sides of a
second triangle, the two triangles are similar.
TRUE, SSS Similarity, the sides are all proportional with a scale factor of 5.
13. If the measures of the sides of one triangle are 1/2 the measures of the sides of a second
triangle, the two triangles are similar.
TRUE, SSS Similarity, the sides are all proportional with a scale factor of 1/2.
14. If two triangles share one angle in common, then the triangles are similar.
FALSE, one angle is not enough to know if two triangles are similar. Need two
congruent angles.
15. If the measures of the sides of a triangle are each 3in greater than the measures of the
sides of a second triangle, then the triangles are similar.
FALSE, increasing the sides by an equal number will change the proportions that
were there in the triangle. Ex.
2 6
5 9

now add three to the sides…. 
3 9
6 12