Free Printable IG - Similar Triangles & Proportions

1.

Solve for the value of x that makes the proportion true. $\frac{x}{10}=\frac{15}{25}$

*Just write the number that x is equal to.

(a)

2.

Solve for the value of x that makes the proportion true. $\frac{3}{12}=\frac{36}{6x}$

*Just write the number that x is equal to.

(a)

3.

Solve for the value of x that makes the proportion true. $\frac{9}{6x-18}=\frac{1}{17}$

*Just write the number that x is equal to.

(a)

4.

Solve for the value of x that makes the proportion true. $\frac{x}{27}=\frac{9}{3x}$

*Just write the number that x is equal to.

(a)

5.

Determine if the two triangles are similar. Explain the reasoning to your answer. If they are, write a similarity statement. Pictures not drawn to scale.

a)

Yes, Similar. Triangle PAR ~ Triangle GOD

b)

Yes, Similar. Triangle DOG ~ Triangle RAP

c)

Yes, Similar. Triangle RAP ~ Triangle GOD

d)

No, not similar

6.

Triangle RAP ~ Triangle DOG. What is the scale factor of RAP : DOG ?

a)

6:1

b)

18:7

c)

1:6

d)

16:3

7.

Determine if the two triangles are similar. Explain the reasoning to your answer. If they are, write a similarity statement. Pictures not drawn to scale.

a)

No, not similar because the angles are not congruent

b)

Yes, Similar. Triangle LUC ~ Triangle KYC

c)

Yes, Similar. Triangle CUL ~ Triangle YKC

d)

No, not similar because the sides are not congruent.

8.

Given that the two triangles are similar, solve for each missing variable. Be sure to show all of your work. (Pictures not drawn to scale)

a)

x = 10.45 ft

y = 19.38 ft

b)

x = 19.38 ft

y = 11.93 ft

c)

x = 213.2 ft

y = 131.2 ft

d)

x = 9.65 ft

y = 12.4 ft

9.

Given that the two triangles are similar, solve for each missing angles as notated by the variables. (Pictures not drawn to scale)

a)

$z\ =\ 52\degree,\ \ q\ =\ 38\degree\ ,\ w\ =\ 52\degree$

b)

$z\ =\ 52\degree,\ \ q\ =\ 38\degree\ ,\ w\ =\ 90\degree$

c)

$z\ =\ 90\degree,\ \ q\ =\ 52\degree\ ,\ w\ =\ 52\degree$

d)

$z\ =\ 38\degree,\ \ q\ =\ 90\degree\ ,\ w\ =\ 38\degree$

10.

Given that the two triangles are similar, solve for each side as notated by the variables. (Pictures not drawn to scale)

a)

x = 52 yd

y = 38 yd

b)

x = 25.5. yd

y = 22.5 yd

c)

x = 38 yd

y = 52 yd

d)

x = 22.5 yd

y = 25.5 yd

11.

Find the value of x. *Type your answer as just the number

(a)

12.

Find the value of x. *Type your answer as just the number rounded to 2 decimal places

(a)

13.

Find the value of y. *Type your answer as just the number rounded to 1 decimal place

(a)

14.

Find the value of x. *Hint: You must compare the whole side length of the big triangle to the whole side length of the small triangle.

a)

x = 10

b)

x = 8

c)

x = 12

d)

x = 2.67

15.

A pole is 4 meters long and casts a shadow that is 7 meters long. At the same time, the shadow of a tower is 133 meters long. How tall is the tower?

a)

The tower is 28 meters tall.

b)

The shadow is 76 meters long.

c)

The tower is 76 meters tall.

d)

The shadow is 28 meters long.

16.

A certain fluid is administered 2.5 mg per 4 lbs of body weight. How much fluid is needed for a 137 lb person?

a)

You need 85.6 mg of fluid for a 137 lb person.

b)

You need 10 mg of fluid for a 137 lb person.

c)

You need 2.5 mg of fluid for a 137 lb person.

d)

You need 342.5 mg of fluid for a 137 lb person.

17.

Alex has a triangle that has sides of 12, 12 and 20 centimeters. They want to dilate the triangle so that the new triangle has a longest side of 8 centimeters. How long should the other two sides be?

a)

The other 2 sides should be 30 cm long and 16 cm long.

b)

The other 2 sides should be 30 cm long each.

c)

The other 2 sides should be 4.8 cm and 8 cm long.

d)

The other 2 sides should be 4.8 cm long each.

IG - Similar Triangles & Proportions

Total questions: 17

Worksheet time: 4hrs 35mins

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