Free Printable Similar Figures and Slope Math

1.

a)

B

b)

C

c)

D

d)

E

e)

F

2.

a)

Dilations always increase the length of line segments.

b)

Dilations take perpendicular lines to perpendicular lines.

c)

Dilations of an angle are congruent to the original angle.

d)

Dilations increase the measure of angles.

e)

Dilations of a triangle are similar to the original triangle.

3.

Hint: Remember OD x SF = DD (find the scale factor)

a)

8

b)

12.5

c)

2.68

d)

0.67

4.

Find the length of EF.

a)

0.67

b)

2.01

c)

12.01

d)

4

5.

The pair of figures is similar. Find the missing side.

a)

x = 10

b)

x = 4

c)

x = 2

d)

x = 5

6.

a)

A

b)

B

c)

C

d)

D

7.

Triangles ABC and DEF are similar. The slope of the hypotenuse of ABC is...

a)

the SAME as the slope of the hypotenuse of triangle DEF

b)

LESS THAN the slope of the hypotenuse of triangle DEF

c)

GREATER THAN the slope of the hypotenuse of triangle DEF

8.

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

9.

a)

F

b)

G

c)

H

d)

J

10.

a)

A

b)

B

c)

C

d)

D

11.

Write proportion comparing the rise to the run for each of the similar slope triangles and find the numeric value.

a)

b)

c)

d)

12.

Which statement is true about the right triangles shown in the coordinate plane?

a)

The triangles are unrelated to one another.

b)

The triangles are congruent, because they have the same slope.

c)

The triangles are similar and therefore have the same slope.

d)

The triangles are similar and do not have the same slope.

13.

Which of the following is true about the triangles shown on the graph?

a)

The slope of the smaller triangle is smaller than the slope of the larger triangle.

b)

The slope of the larger triangle is larger than the slope of the smaller triangle.

c)

The triangles are congruent. Congruent: same size, same shape.

d)

The slopes of the two triangles are the same.

14.

As it relates to geometry, what does it mean for figures to be similar?

a)

corresponding sides are proportional and corresponding angles are congruent

b)

corresponding sides and angles are congruent

c)

angles are similar, and side lengths are the same, producing a figure that looks very close to another one.

d)

neither sides or angles are congruent

15.

8.4A

a)

A

b)

B

c)

C

d)

D

16.

Which proportion could be used to show the slope of line VX is equal to the slope of line XZ?

a)

$\frac{1-\left(-5\right)}{1-\left(-2\right)}=\frac{1-3}{1-\left(-5\right)}$

b)

$\frac{1-\left(-5\right)}{1-\left(-2\right)}=\frac{5-1}{3-1}$

c)

$\frac{-2-\left(-5\right)}{-2-1}=\frac{5-1}{3-1}$

d)

$\frac{1-\left(-2\right)}{1-\left(-5\right)}=\frac{3-1}{5-1}$

17.

If the two rectangles are similar, then the length of PQ is…cm

a)

10

b)

20

c)

24

d)

28

18.

The slope of line CA is $-\frac{3}{2}$ . Which of the following is true about the slope of line XZ?

a)

The slope of line XZ is the negative reciprocal of the slope of line CA because the triangles are flipped.

b)

The slope of line XZ is one-half the slope of line CA because the ratio of corresponding sides between the triangles is $\frac{1}{2}$ .

c)

The slope of line XZ is the same as the slope of line CA because the ratios of the corresponding sides of the triangles are equivalent.

d)

The is no relationship between the slope of line XZ and the slope of line CA.

19.

Triangle LMN and triangle QRS are similar right triangles. Based on the information, which statement about slope is true?

a)

The slope of QS is equal to the slope of LN because they lie on the same line .

b)

The slope of QS is less than the slope of LN because triangle QRS is larger than triangle LMN.

c)

The slope of QS is less than the slope of LN because triangle QRS is smaller than triangle LMN.

d)

There is no relationship between the slope of QS and the slope of LN.

e)

Triangle LMN is similar to triangle QRS.

20.

The pair of figures is similar. Find the missing side.

a)

x = 20

b)

x = 12

c)

x = 5

d)

x = 4

Similar Figures and Slope Math

Total questions: 20

Worksheet time: 20mins

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