Quiz about Pythagorean Theorem, Distance and Midpoint

Question 1

Find the midpoint:

Accepted Answer

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

Answer

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

Answer

$$\left(3,4\right)$$

Answer

$$\left(4,3\right)$$

Question 2

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 3

Determine the length of the missing side.

Accepted Answer

17

Answer

7

Answer

8

Answer

23

Question 4

Find the missing side

Accepted Answer

$$\sqrt{61}$$

Answer

11

Answer

61

Answer

$$\sqrt{11}$$

Question 5

Which set of sides would make a right triangle?

Accepted Answer

5,12,13

Answer

4,5,6

Answer

8,10,12

Answer

5,10,12

Question 6

This distance formula was derived from the ______________.

Accepted Answer

Pythagorean Theorem

Answer

Vertical Angles Theorem

Answer

Supplements Theorem

Answer

Perpendicular Bisector Theorem

Question 7

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

Accepted Answer

5

Answer

3

Answer

4

Answer

6

Question 8

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

Accepted Answer

14.1

Answer

10

Answer

8

Answer

14

Question 9

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 10

Find the distance between J and K.

Accepted Answer

8.2

Answer

7.7

Answer

9

Answer

10.2

Question 11

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

Accepted Answer

(-3,3)

Answer

(3,2)

Answer

(4,5)

Answer

(6,7)

Question 12

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

Accepted Answer

(7,2)

Answer

(1,5)

Answer

(2,10)

Answer

(1,2)

Question 13

The distance formula comes from the following equation:

Accepted Answer

Pythagorean Theorem

Answer

Midpoint Formula

Answer

Circumference

Answer

Slope Equation

Question 14

Find the distance between the pair of points A(-2, 4) and N(3, -3).

Accepted Answer

8.60

Answer

5

Answer

7

Answer

9.22

Pythagorean Theorem, Distance and Midpoint

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