Quiz about Distance and Midpoint Formulas

Question 1

Which of the following represents the Distance Formula?

Accepted Answer

$$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2\ }-\ y_1\right)^2}$$

Answer

$$a^2\ +\ b^2\ =\ c^2$$

Question 2

Which of the following shows the correct way to insert the following coordinates into the DIstance Formula?

(3, 4) , (7, 1)

Accepted Answer

$$d\ =\ \sqrt{\left(7\ -\ 3\right)^2\ +\ \left(1\ -\ 4\right)^2}$$

Accepted Answer

$$d\ =\ \sqrt{\left(3\ -\ 7\right)^2\ +\ \left(4\ -\ 1\right)^2}$$

Answer

$$d\ =\ \sqrt{\left(4\ -\ 3\right)^2\ +\ \left(7\ -\ 1\right)2}$$

Answer

$$d\ =\ \sqrt{\left(7\ -\ 4\right)^2\ +\ \left(1\ -\ 3\right)^2}$$

Answer

$$d\ =\ \sqrt{\left(3\ +\ 7\right)^2\ -\ \left(4\ +\ 1\right)^2}$$

Question 3

Find the distance between the points (5, 7) and (-2, -2).

Accepted Answer

11.4

Answer

5.7

Answer

5.8

Answer

8.6

Question 4

One end of a cable is attached to the top of a flag pole and the other end is attached 6 feet away from the base of the pole. The height of the flagpole is 12 feet. What is length of the cable?

Accepted Answer

13.4 ft

Answer

13.1 ft

Answer

6 ft

Answer

10.4 ft

Question 5

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

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 6

What is the midpoint between (3, -1) and (7, -5)

Accepted Answer

(5, -3)

Answer

(5, -2)

Answer

(10, -6)

Answer

(2, -2)

Question 7

Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?

Accepted Answer

(7,2)

Answer

(1,5)

Answer

(2,10)

Answer

(1,2)

Question 8

How is AB written in the distance formula?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 9

What is the distance between AB?

Accepted Answer

5

Answer

0

Answer

undefined

Answer

4

Question 10

What is the distance between AB

Accepted Answer

8

Answer

0

Answer

9

Answer

7

Distance and Midpoint Formulas

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