WorksheetsCorresponding Side Lengths of Similar Triangles
Total questions: 50
Worksheet time: 53mins
Name
Class
Date
1.
Are the triangles similar?
a)
Yes
b)
No
2.
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
3.
Find missing side
a)
5
b)
7
c)
9
d)
11
4.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
5.
Solve the proportion.
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
6.
Complete each proportion.
CB / DM = AC / ?
CB / DM = AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
7.
What is the scale factor from ΔDEF to ΔABC?
a)
1/2
b)
7/3
c)
2
d)
10/3
8.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
9.
Find y.
a)
144
b)
18
c)
72
d)
12
10.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
11.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
12.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
13.
Using a proportion, find the height of the tree.
a)
x = 0.0625 ft.
b)
16 ft
c)
x = 16 ft.
14.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
15.
All corresponding angles in similar figures are congruent.
a)
True
b)
False
16.
Sides that are in the same position are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
17.
Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)
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
18.
Two shapes that are similar are also congruent
a)
True
b)
False
19.
Sides in similar figures must be proportional.
a)
True
b)
False
20.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
21.
A triangle has sizes 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
22.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
23.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
24.
Solve the proportion.
____ = ____
____ = ____
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
25.
Are these triangles similar?
a)
Yes
b)
No
26.
Which side length corresponds with EF?
a)
ML
b)
LM
c)
OL
d)
EH
27.
Are these figures similar?
a)
yes
b)
no
28.
Are these figures similar?
a)
yes
b)
no
29.
Are these figures similar?
a)
yes
b)
no
30.
Are these figures similar?
a)
yes
b)
no
31.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
32.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
33.
Find missing side
a)
5
b)
7
c)
9
d)
11
34.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
35.
The Pythagorean Theorem is
c2 = a2 - b2
c2 = a2 - b2
a)
false
b)
true
36.
The Pythagorean Theorem is
c2 = a2 - b2
c2 = a2 - b2
a)
false
b)
true
37.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
38.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
39.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
40.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
41.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
42.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
43.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
44.
Do the lengths form a right triangle? 6, 8, 10
a)
yes
b)
no
45.
What is the measure of ∠8?
a)
55
b)
155
c)
135
d)
45
46.
What is the measure of ∠3?
a)
55
b)
155
c)
45
d)
135
47.
What is the measure of ∠6?
a)
55
b)
155
c)
45
d)
135
48.
What type of angle pair is ∠1 and ∠5?
a)
alternate interior angles
b)
corresponding angles
c)
alternate exterior angles
d)
vertical angels.
49.
What type of angle pair is ∠1 and ∠3?
a)
alternate interior angles
b)
supplementary angles
c)
corresponding angles
d)
vertical angles
50.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
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