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WorksheetsDiscovering Geometry
Total questions: 22
Worksheet time: 1hrs 29mins
Name
Class
Date
1.
An NBA basketball court (rectangle) is similar to an elementary school basketball court. The sideline of the NBA court is 94 feet, and the sideline of the elementary court is 84.6 feet. The NBA court has a perimeter of 288 ft. Find the perimeter of the elementary court.
a)
288 feet
b)
5802 feet
c)
259 feet
d)
275 feet
2.
Are the triangles similar? If so, what similarity shortcut is used? Show all work.
a)
Similar. SAS
b)
Similar. AA
c)
Similar. SSS
d)
Not Similar
3.
Are the triangles similar? If so, what similarity shortcut is used? Show all work.
a)
Similar. SAS
b)
Similar. AA
c)
Similar. SSS
d)
Not Similar
4.
Are the triangles similar? If so, what similarity shortcut is used? Show all work.
a)
Similar. SSS
b)
Similar. SAS
c)
Similar. AA
d)
Not Similar.
5.
All corresponding sides are congruent in any similar figure.
a)
True
b)
False
6.
Find x
a)
10.5
b)
5
c)
8.5
d)
6
7.
Why are the triangles similar?
a)
AA~
b)
SAS~
c)
SSS~
d)
AAS~
8.
A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 21 feet. How tall is the building? (Draw a picture, set up a proportion)
a)
16 feet
b)
21 feet
c)
24 feet
d)
28 feet
9.
All corresponding sides are proportional (same ratio) in similar figures.
a)
True
b)
False
10.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
11.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
12.
Are the triangles similar?
a)
Yes
b)
No
13.
A triangle has sides measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?
a)
x = 19 cm
b)
x = 24 cm
c)
x = 3 cm
d)
x = 16.5 cm
14.
Solve for x.
a)
x = 2
b)
x = -1
c)
x = 1
d)
x = 5
15.
Find the value of x.
a)
x = 4.5
b)
x = 9
c)
x = 30
d)
x = 3
16.
Use the information in the diagram to determine the height of the tree.
a)
80 feet
b)
320 feet
c)
40 feet
d)
160 feet
17.
Complete each proportion.
AB / BM = ? / CD
AB / BM = ? / CD
a)
BC
b)
AC
c)
MD
d)
MC
18.
Find the value of x.
a)
4
b)
5
c)
6
d)
8
19.
Tell whether the two figures are similar. Explain your reasoning.
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
20.
In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)
a)
congruent, proportional
b)
proportional, congruent
c)
congruent, congruent
d)
proportional, proportional
21.
Are the two figures similar?
a)
yes
b)
no
22.
Solve for x.
a)
x = 4
b)
x = 4 and x = 3
c)
x = 2 and x = 6
d)
x = 6
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