Free Printable 1.3 Distance and Midpoint Geometry

1.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

2.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

3.

Which equation can be used to solve for "x"?

a)

15² – x² = 21²

b)

x² – 15² = 21²

c)

15² + 21² = x²

d)

21² – 15² = x²

4.

This distance formula was derived from the ______________.

a)

Vertical Angles Theorem

b)

Pythagorean Theorem

c)

Supplements Theorem

d)

Perpendicular Bisector Theorem

5.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

6.

How is AB written in the distance formula?

a)

$d\ =\ \sqrt{\left(5-3\right)^2\ +\ \left(0--2\right)^2}$

b)

$d\ =\ \sqrt{\left(2-5\right)^2\ +\ \left(3\ -0\right)^2}$

c)

$d\ =\ \sqrt{\left(5-3\right)^2\ -\ \left(0--2\right)^2}$

d)

$d\ =\ \sqrt{\left(4-3\right)^2\ -\ \left(2-4\right)^2}$

7.

Find the distance between J and K.

a)

8.2

b)

7.7

c)

9

d)

10.2

8.

Find the distance between ( 1, 3) and (5, 6)

a)

3

b)

4

c)

5

d)

6

9.

Find the distance between (12, -5) and (2, -5).Round to the nearest tenth.

a)

14.1

b)

10

c)

8

d)

14

10.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

11.

Find the midpoint:

a)

\left(3,-1\right)

b)

$\left(-1,3\right)$

c)

$\left(3,4\right)$

d)

$\left(4,3\right)$

12.

What is the midpoint between (-4,4) and (-2,2)?

a)

(3,2)

b)

(-3,3)

c)

(4,5)

d)

(6,7)

13.

Find the missing endpoint given the midpoint (3,4) and the other endpoint (-1,6)

a)

(1,5)

b)

(2,10)

c)

(7,2)

d)

(1,2)

14.

Find the distance between (2,3) & (4,1)

a)

3

b)

5.66

c)

2.83

d)

2.79

15.

What is the distance between AB

a)

0

b)

8

c)

9

d)

7

16.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

17.

Find the distance between J and K.

a)

√68

b)

√8

c)

9

d)

√53

18.

What is the midpoint between (0, -4)
and (-8, 14)

a)

(4, 5)

b)

(-4, 5)

c)

(-4, -5)

d)

(4, -5)

19.

Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9)

a)

(18, -23)

b)

(13, 18)

c)

(11,4)

d)

(1.5, -2)

20.

Given two points (x₁, y₁), (x₂, y₂) the distance between them is:

a)

b)

c)

d)

21.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

22.

Find the distance.

a)

7.1

b)

7.8

c)

8.7

d)

8.9

23.

What is the midpoint between (-4,4) and (-2,2)?

a)

(3,2)

b)

(-3,3)

c)

(4,5)

d)

(6,7)

24.

Find the distance between the points (4, 3) and (0, 6).

a)

3

b)

4

c)

5

d)

7

25.

What is the perimeter of triangle ABC?

a)

28.2

b)

18.2

c)

32.6

d)

17.6

26.

What is the midpoint between (3, -1) and (8, -6)

a)

(11, -7)

b)

(-5.5, -3.5)

c)

(5.5, -3.5)

d)

(2, -2)

27.

A diameter of a circle has endpoints (-2, -5) and (2, 1). Find the coordinates of the center of the circle.

a)

(0, -2)

b)

(6, 7)

c)

(-6, -11)

d)

(1, -1)

1.3 Distance and Midpoint Geometry

Total questions: 27

Worksheet time: 3hrs 13mins

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