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WorksheetsU3-U4 Practice
Total questions: 211
Worksheet time: 15hrs 12mins
CB / DM = AC / ?
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
AA
SSS
SAS
Not similar
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
AA
SSS
SAS
no similar
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
SSS
AA
SAS
not similar
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
SSS
AA
SAS
not similar
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
AA
SAS
SSS
Not Similar
Are these triangles similar? If so, why?
AA
SAS
SSS
Not Similar
Are the triangles similar, if so state how.
AA
SAS
SSS
Not similar
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
AA
SSS
SAS
NOT SIMILAR
These triangles are similar. Find missing side...
5
7
9
11
Find the area of the triangle.
22.5 cm2
45 cm2
15.75 cm2
31.5 cm2
Are these triangles similar? If so, why?
AA
SAS
SSS
Not Similar
What type of angle pair is ∠1 and ∠5?
alternate interior angles
corresponding angles
alternate exterior angles
vertical angels.
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
AA
SSS
SAS
no similar
Find the area of this parallelogram
38.5cm2
63cm2
99cm2
77cm2
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
SSS
AA
SAS
not similar
Name the alternate interior angle to angle 3.
4
5
6
8
The pair of figures are similar. Find the missing side.
x = 12
x = 3
x = 40
x = 4
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
AA
SSS
SAS
Not similar
CB / DM = AC / ?
Given
ΔJKL≅ΔXYZ , ∠K ≅ ?∠X
∠Y
∠Z
none of the above
(Hint: Look for non-labeled parts!)
Given
ΔJKL≅ΔXYZ , JK ≅ ?YZ
XZ
XY
none of the above
State if the triangles in each pair are similar. If so, state how you know they are similar.
Yes, AA Similarity
Yes, SSS Similarity
Yes, SAS Similarity
Not Similar
Charlie Browns Christmas tree is 18 inches tall. The Christmas tree at Mr.Bass' house is 8 ft tall. What is the ratio of Charlie Browns tree to Mr. Bass' Tree?
18/8
8/18
3/16
16/3
Write the ratio of the first measurement to the second measurement.
Length of a classroom: 18 ft 4 in
Length of a closet: 48 in
55/12
12/55
9/2
2/9
Write the ratio of the first measurement to the second measurement.
Length of the school bus: 9 yd
Length of an SUV: 12 ft
9/4
4/9
3/4
4/3
A class has 30 students. 18 are boys. What is the ratio of boys to girls?
12:18
3:2
30:18
18:7
Solve for x
20/5 = x/25
x=100
x=4
x=120
x=5
Solve for n
12/6 = 4/n
n=4
n=2
n=3
n=6
Solve for x
x=6.5
x=8
x=4
x=5.5
Solve the proportion:
4
8
14
10
The ratio of pass to fail in PE class is 5:1. If there are 90 students in PE, how many are passing?
75 students are passing
75 are failing
15 students are passing
15 students are failing
The angles of a triangle are in an extended ratio of 5:7:3. What is the measure of the largest angle?
84o
12o
60o
36o
Two numbers are in the ratio 7 : 9. If the sum of the numbers is 112, then the larger number is
49
72
63
42
What is a Ratio?
Is a comparison of two quantities
To multiply two fractions
A number over another number
Two decimals that can be multiplied
Write a ratio in simplest form:
10 automobiles to 13 bikes
1/3
10/13
4/5
3/1
Ella has 5 balloons. Taylor has 7 balloons. Write the ratio of Ella's balloons to Taylor's balloons.
7:5
5:7
3:5
5:3
A proportion is a
ratio statement
an "if-then" statement
a statement of 2 ratios that are equal to each other
a comparison
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
The triangles are similar. Solve for x.
4
5
6
7
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
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
What side corresponds with DE?
CA
AB
EC
BA
What side corresponds with BC?
FD
ED
EC
CB
What is the value of X?
1.92
2.04
2.15
2.5
The measures of two complementary angles are in the ratio 2:3. What is the measure of the smaller angle?
18
36
54
90
The perimeter of a rectangle is 280 cm. The ratio of the width to the length is 3:4. What is the length of the rectangle?
20
40
60
80
The measures of the angles of a triangle are in the extended ratio 4:3:2. What is the measure of the largest angle?
20
40
60
80
The ratio of the measures of the sides of a triangle is 3:5:7, and its perimeter is 450 centimeters. Find the measures of each side of the triangle.
90, 150, 210
3x, 5x, 7x
36, 60, 84
3, 5, 7
The ratio of the measures of the sides of a triangle is 4:6:8, and its perimeter is 126 feet. What are the measures of the sides of the triangle?
40, 60, 80
4, 6, 8
28, 42, 56
4x, 6x, 8x
The ratio of the side lengths of a triangle is 2:4:8, and its perimeter is 35 cm. Find the length of the longest side.
12.86 cm
2.5 cm
5 cm
20 cm
A triangle’s angle measures are in the extended ratio of 2 : 4 : 9. Find the measures of the angles.
20o, 40o, 90o
24o, 48o, 108o
24o, 32o, 124o
20o, 40o, 100o
A triangle’s angle measures are in the extended ratio of 1 : 2 : 3. Find the measures of the angles.
30o, 60o, 90o
10o, 20o, 30o
20o, 40o, 60o
30o, 50o, 100°
The ratio of the measures of the sides of a triangle is 5:6:8, and its perimeter is 159.6mm. Find the measure of the shortest side of the triangle.
50.4
19
42
8.4
A triangle’s angle measures are in the ratio of 3 : 4 : 11. Find the measures of the angles.
30o, 40o, 90o
30o, 40o, 110o
10o, 30o, 140o
40o, 40o, 100o
A triangle’s side measures are in the ratio of 1 : 2 : 3. The perimeter of the triangle is 30 inches. Find the lengths of the sides.
30 in , 60 in, 90 in
5 in, 10 in, 15 in
20 in, 40 in, 60 in
1 in, 2 in, 3 in
15, 12, 9
Determine whether the given side lengths can form a triangle:
3, 3, 3
possible
impossible
Determine whether the lengths could form a triangle:
3, 3, 6
possible
impossible
Could a triangle with lengths 3, 4 and 4 exist?
possible
impossible
Will these line segments form a triangle?
yes
no
Find the measure of the indicated angle.
55
85
35
45
In a triangle, how many total degrees are there?
240
180 degrees
it varies
360 degrees
The Triangle Inequality Theorem states the sum of any two sides in a triangle must be greater than the length of the third side.
False
True
The Opposite Side Angle Theorem says If one side of a triangle is longer than another side, then the angle opposite the longer side will be larger than the angle opposite the shorter side.
True
False
A triangle has one angle that measure 45° and one that measures 60°. What is the measure of the third angle?
135°
75°
120°
105°
20, 10, 9
Classify the triangle by sides and angles (choose two answers).
Right triangle
Acute triangle
Obtuse triangle
Equilateral triangle
Isosceles triangle
Classify the triangle by both sides and angles (choose two answers).
Right triangle
Acute triangle
Obtuse triangle
Isosceles triangle
Scalene triangle
Classify this triangle by its angles.
right
obtuse
acute
equiangular
acute
obtuse
right
equiangular
acute
obtuse
right
equiangular
A triangle with 3 congruent sides is called a(n) ______
Isosceles Triangle
Equilateral Triangle
Obtuse Triangle
Scalene Triangle
Classify the triangle by sides and angles (choose two answers).
Acute triangle
Obtuse triangle
Equilateral triangle
Isosceles triangle
Scalene triangle
acute
obtuse
right
equiangular
Classify this triangle by its angles.
right
obtuse
isosceles
equiangular
equilateral
isosceles
scalene
equilateral
isosceles
scalene
equilateral
isosceles
scalene
A triangle with at least 2 congruent sides is called a(n) ______
Isosceles Triangle
Equilateral Triangle
Obtuse Triangle
Scalene Triangle
A triangle with NO congruent sides is called a(n) ______
Isosceles Triangle
Equilateral Triangle
Obtuse Triangle
Scalene Triangle
Which sides are congruent?
AB and AC
AB and BC
AC and BC
ABC and ACB
Solve for x
7
15
10
11
Solve for x in the isosceles triangle
180
75
35
105
You have a class photo that is 10 inches long and 8 inches wide if you want to enlarge your photo to be 15 inches long how wide would it be.
16 in.
9 in.
12 in.
15 in.
A building is 50 feet tall and cast a 150-foot shadow, a nearby stop sign cast a 24-foot shadow. How tall is the stop sign?
8 ft
10 ft
12 ft
24 ft
Solve:
-4
10
3
-4
550 ft
750 ft
900 ft
1000 ft
Solve:
-8
1
-8
36
6 pencils costs 36 cents. How much do 2 pencils cost?
6
12
3
8
8 sweets cost 72 cents. How much do 6 sweets cost?
45
54
36
24
If four ice creams cost $3.20, what would 8 ice cream cost?
$7.20
$6.40
$10.00
$9.60
Three bags of rice weigh 90 kgs. How much do 9 bags weigh?
180 kg
240 kg
270 kg
360 kg
Six movie tickets cost $240. How much do 2 movie tickets cost?
$30
$80
$60
$90
Five apples cost 80 cents. Find the cost of 20 apples.
$6.00
$12.00
$9.00
$3.20
7 soccer balls cost $630. How much do 14 soccer balls cost?
$900
$315
$1890
$1260
