WorksheetsProving Triangles Similar
Total questions: 16
Worksheet time: 1hrs 10mins
Name
Class
Date
1.
The two triangles are similar. Find the length of the missing side.
(a)
2.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
3.
Are the triangles similar?
a)
Yes
b)
No
4.
Find missing side
a)
5
b)
7
c)
9
d)
11
5.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
6.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
7.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
8.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
9.
The triangles are similar. Find x
(a)
10.
Name a midsegment of ⌂ABC
a)
segment AC
b)
segment DE
c)
segment AB
d)
segment BC
11.
QR is a midsegment of triangle WUV. What is the length of segment QR?
a)
4
b)
8
c)
16
d)
32
12.
VW is a midsegment of triangle KIJ. What is the length of segment KI?
a)
-1
b)
-10
c)
18
d)
8
13.
TS is a midsegment of triangle GHI. Solve for the value of x.
a)
4
b)
6
c)
8
d)
10
14.
Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree's shadow is 32 feet long. What is the height of the tree?
a)
20 feet
b)
24 feet
c)
29 feet
d)
51 feet
15.
Triangle PQR is similar to triangle XYZ. What is the PERIMETER of triangle XYZ?
a)
21 cm
b)
63 cm
c)
105 cm
d)
126 cm
16.
Triangle HIJ is similar to triangle STR. What is the perimeter of triangle STR?
a)
32
b)
37
c)
40
d)
42
100 %
