Free Printable Distance, Midpoint, Slope, and Parallel Lines

1.

Which of the following is the Distance Formula?

a)

$\sqrt[]{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

b)

$\sqrt[]{\left(x_2-x_1\right)^2+\left(y_1-y_2\right)^2}$

c)

$\sqrt[]{\left(x_2-y_1\right)^2+\left(x_1-y_2\right)^2}$

d)

$\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2$

2.

Which of the following the Midpoint Formula?

a)

$M=\left(\frac{x_1-y_2}{2},\frac{x_2-y_1}{2}\right)$

b)

$M=\left(\frac{x_1-x_2}{2},\frac{y_1-y_2}{2}\right)$

c)

$M=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$

d)

$M=\left(\frac{x_1+y_1}{2},\frac{x_2+y_2}{2}\right)$

3.

Which of the following is the Slope Formula?

a)

$m=\frac{x_2-y_1}{x_1-y_2}$

b)

$m=\frac{y_2-y_1}{x_2-x_1}$

c)

$m=\frac{x_2-x_1}{y_2-y_1}$

d)

$m=\frac{y_2+y_1}{x_2+x_1}$

4.

What is the defining characteristic of the slopes of parallel lines?

a)

The slopes are the same.

b)

The slopes are not the same.

c)

The slopes are opposite fractions.

d)

The slopes are negative reciprocals.

5.

What is the defining characteristic of the slopes of perpendicular lines?

a)

The slopes are the same.

b)

The slopes are not the same.

c)

The slopes are opposite fractions.

d)

The slopes are negative reciprocals.

6.

Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.

$\left(-4,6\right),\ \left(-1,7\right)$

a)

3.2

b)

4,2

c)

2

d)

13.9

7.

Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.

a)

4.5

b)

2

c)

5.7

d)

6.3

8.

Find the midpoint of the line segment with the given endpoints.

$\left(0,7\right),\ \left(8,-10\right)$

a)

(4, -1.5)

b)

(-4, 8.5)

c)

(16, -27)

d)

(3.5, -1)

9.

Find the midpoint of each line segment.

a)

(4, -1)

b)

(-13, 0)

c)

(-0.5, -3.5)

d)

(-1, -3)

10.

Find the other endpoint of the line segment with the given endpoint and midpoint.

$Endpoint:\left(9,1\right),\ Midpoint:\left(3,8\right)$

a)

(0, 5.5)

b)

(-3, 15)

c)

(3, -3.5)

d)

(5, 5.5)

11.

Find the slope of each line.

a)

$\frac{2}{5}^{ }$

b)

1

c)

$-\frac{2}{5}$

d)

-1

12.

Find the slope of each line.

a)

3

b)

Undefined

c)

0

d)

-3

13.

Find the slope of each line.

a)

$\frac{1}{3}$

b)

0

c)

Undefined

d)

$-\frac{1}{3}$

14.

Find the slope of the line through each pair of points.

$\left(-2,6\right),\ \left(5,16\right)$

a)

$-\frac{10}{7}$

b)

$\frac{10}{7}$

c)

$\frac{7}{10}$

d)

$-\frac{7}{10}$

15.

Find the slope of the line through each pair of points.

$\left(20,-7\right),\ \left(-16,-9\right)$

a)

18

b)

$\frac{1}{18}$

c)

-18

d)

$-\frac{1}{18}$

16.

Use the slope to determine if lines AB and CD are parallel, perpendicular, or neither.

$A\left(0,2\right),\ B\left(5,4\right),\ C\left(1,8\right),\ D\left(3,3\right)$

a)

Parallel

b)

Perpendicular

c)

Neither

17.

Use the slope to determine if lines AB and CD are parallel, perpendicular, or neither.

$A\left(2,3\right),\ B\left(-1,4\right),\ C\left(-5,3\right),\ D\left(-4,6\right)$

a)

Parallel

b)

Perpendicular

c)

Neither

18.

Use the slope to determine if lines AB and CD are parallel, perpendicular, or neither.

$A\left(-3,8\right),\ B\left(3,2\right),\ C\left(7,1\right),\ D\left(5,-1\right)$

a)

Parallel

b)

Perpendicular

c)

Neither

19.

Use the slope to determine if lines AB and CD are parallel, perpendicular, or neither.

$A\left(-4,7\right),\ B\left(-2,6\right),\ C\left(2,-2\right),\ D\left(-8,3\right)$

a)

Parallel

b)

Perpendicular

c)

Neither

Distance, Midpoint, Slope, and Parallel Lines

Total questions: 19

Worksheet time: 10mins

Similar Resources on Wayground