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WorksheetsSimilarity and Proportional Reasoning
Total questions: 15
Worksheet time: 15mins
Line AB corresponds with what line?
XZ
XY
YZ
YX
The triangles are similar. Solve for x.
4
5
6
7
One property of similar triangles is that corresponding angles of two similar triangles are congruent. What is the second property of similar triangles?
Corresponding sides are congruent
Corresponding sides are unrelated
Corresponding sides are equal
Corresponding sides are equally proportional
A telephone booth that is 8ft tall casts a shadow that is 4ft long. Find the height of a lawn gnome that casts a 2ft shadow.
2 ft
4 ft
6 ft
8 ft
Solve for x and y.
x=11.43, y=42.78
x=11.43, y=192.5
x=14, y=48
x=10, y=11.43
What side corresponds with DE?
CA
AB
EC
BA
What side corresponds with BC?
FD
ED
EC
CB
What is the value of X?
92
2.04
2.15
2.5
Determine whether the triangles are similar.
SSS~
AA~
SAS~
not similar
Are the following similar? Why or why not?
Yes
No, the corresponding angles are not equal.
No, the ratios of the corresponding sides are not equal.
Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)
Yes, similar because they are the same shape and side lengths are proportional.
No, not similar because they are the same shape, but side lengths are not proportional.
Yes, same shape
No, different sizes
The measures of two complementary angles are in the ratio 2:3. What is the measure of the smaller angle?
18
36
54
90
Do the ratios form a proportion?
Yes, they form a proportion.
No, they do not form a proportion.
The two right triangles below are similar. What is x, the missing side length in triangle DEF?
3.75
9.75
10
12
The pair of figures is similar. Find the missing side.
x = 1
x = 3
x = 9
x = 5
