Quiz about Dividing Line Segment and Distance Formula

Question 1

Find the distance between the pair of points. Round to the nearest hundredth.

(-3,8) and (6,-6)

Accepted Answer

16.64

Answer

15.53

Answer

14.27

Answer

16.58

Question 2

Find the distance between (-4, -7) and (-6, 1). Round to the nearest hundredth.

Accepted Answer

8.25

Answer

8.76

Answer

8.21

Answer

8.75

Question 3

What is the distance of the line segment?

Accepted Answer

6.32

Answer

6.78

Answer

5.97

Answer

5.02

Question 4

Find the midpoint of AB if A(12, 9) and B(-2, -5).

Accepted Answer

(5, 2)

Answer

(-5, -2)

Answer

(-7, 8)

Answer

(7, -8)

Question 5

Find the midpoint between the pair of points:

F(2, -9) and G(12, -1)

Accepted Answer

(7, -5)

Answer

(7, 5)

Answer

(8, -3)

Answer

(6, -8)

Question 6

If M is the midpoint of line segment LN, find the coordinates of L if M(-9,-10) and N(-1,9).

Accepted Answer

L(-17, -29)

Answer

Answer

L(-14, -17)

Answer

L(-21, -23)

Question 7

Question 7.

Accepted Answer

134

Answer

67

Answer

53

Answer

124

Question 8

Given XZ with X(1, 9) and Z(5, -11), if Y lies on XZ such that the ratio of XY to XZ is 1:4, find the coordinates of Y.

Accepted Answer

Y(2, 4)

Answer

Y(-2, 6)

Answer

Y(3, 5)

Answer

Y(-1, 4)

Question 9

Given AC with A(4, -7) and C(-4, 11), if point B divides AC five-sixths of the way from A to C, find the coordinates of B.

Accepted Answer

B(-8/3, 8)

Answer

B(-8, 3)

Answer

B(-6, 2)

Answer

B(-8/3, 6)

Question 10

Given the directed line segment KM, find the coordinates of L such that the ratio of KL to KM is 1:3. Plot point L.

Accepted Answer

L(-4/3, 3)

Answer

L(-4/3, 3/2)

Answer

L(-4, 3)

Answer

L(-4/3, 4)

Question 11

Given WY with W(3, 7) and Y(13, -8), if X partitions WY such that the ratio of WX to XY is 3:2, find the coordinates of X.

Accepted Answer

X(9, -2)

Answer

X(8, -2)

Answer

X(9, -3)

Answer

X(8, -3)

Question 12

True or False: The distance formula below is correct.

$$d=\sqrt{\left(x_2-x_1\right)^2-\left(y_2-y_1\right)^2}$$

Accepted Answer

<html><head></head><body>False</body></html>

Answer

Question 13

Where does the distance formula derive from?

Accepted Answer

Pythagorean Theorem

Answer

Slope formula

Answer

midpoint formula

Question 14

What is the name of the following formula?

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

Accepted Answer

Midpoint Formula

Answer

Distance Formula

Answer

Line Partition Formula

Answer

Pythagorean Theorem

Dividing Line Segment and Distance Formula

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