Quiz about Midpoint and Distance Coordinate Grid

Question 1

Find the distance.

Accepted Answer

11.7

Answer

9.7

Answer

10.7

Answer

12.7

Question 2

Find the distance between the points.

Accepted Answer

4

Answer

3

Answer

5

Answer

6

Question 3

What is the distance between the points (-2, 3) and (4, 0)?

Accepted Answer

$$3\sqrt{5}$$

Answer

$$3\sqrt{2}$$

Answer

$$3\sqrt{3}$$

Answer

$$6$$

Question 4

Find the length of the segment AB shown.

Accepted Answer

$$5\sqrt{5}units$$

Answer

$$8\ units$$

Answer

11 units

Answer

$$6\sqrt{2}units$$

Answer

12 units

Question 5

Find the shortest distance from the point (-5, 7) to the line x = 7.

Accepted Answer

12 units

Answer

10 units

Answer

11 units

Answer

13 units

Question 6

If the endpoints of the diameter of a circle are (-4, 6) and (4, -8), then what are the coordinates of the center of the circle?

Accepted Answer

(0, -1)

Answer

(0, -2)

Answer

(-1, 0)

Answer

(-4, 7)

Question 7

If M (3, -4) is the midpoint of the line segment joining A(-6, 5) and B(x, y). Find the coordinates of B.

Accepted Answer

(12, -13)

Answer

(3, 9)

Answer

(12, 8)

Answer

(12, 13)

Question 8

What are the coordinates of the point halfway from (4, 4) to (8, -4)?

Accepted Answer

(6, 0)

Answer

(6, -4)

Answer

(0, 6)

Answer

(12, 0)

Question 9

What is the shortest distance between (-5, 6) and the line 3x - 4y = 1?

Accepted Answer

8 units

Answer

5 units

Answer

6 units

Answer

7 units

Question 10

The point M ( s, 4 ) is the midpoint of a line joining P ( -2, -3 ) and R ( 14, t ).

Find the values of s and t.

Accepted Answer

s = 6, t = 11

Answer

s = 8, t = 11

Answer

s = 8, t = 5

Answer

s = 6, t = 5

Question 11

The diagram shows a triangle. Lines NM and NL are parallel to the y-axis and x-axis respectively. Given that P ( s, t ) is the midpoint of ML and the length of ML = 30 units, find the values of s and t.

Accepted Answer

$$s=-1,\ t=15$$

Answer

$$s=-1,\ t=-9$$

Answer

$$s=-21,\ t=27$$

Question 12

The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)
What is the length of the longest side of the rectangle?

Accepted Answer

5 units
5 units

Answer

4 units

Answer

6 units

Answer

8 units

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