# DISTANCE BETWEEN TWO POINTS WORKSHEET

Problem 1 :

What is the approximate length of RS with endpoints R(2, 3) and S(4, -1)?                  Solution

Problem 2 :

What is the approximate length of AB with endpoints A(-3, 2) and B(1, -4)?             Solution

Problem 3 :

The endpoints of MN are M(-3, -9) and N(4, 8). What is the approximate length of MN?            Solution

Find the length of the segment. Round to the nearest tenth of a unit.

Problem 4 :

Problem 5 :

Problem 6 :

## Answer Key

1)  4.5 units

2)  7.2 units

3)  18.4 units

4)  4.5 units

5)  5.385 units

6)  5.7 units

Use the given distance between the two points to find the value of x or y.

Problem 1 :

(0, 3), (x, 5); d = 2√10

Problem 2 :

(-3, -1), (2, y); d = √41

Problem 3 :

(x, 7), (-4, 1); d = 6√2

Problem 4 :

(1, y), (8, 13); d = √74

Solution

## Answer Key

1)  x = 6

2)  y = -5 (or) y = 3

3)  x = 2 or x = -10

4)  y = 8 or y = 18

The vertices of a triangle are given. Classify the triangle as scalene, isosceles, or equilateral.

Problem 1 :

(-5, 0), (0, 6), (5, 0)

Problem 2 :

(0, -3), (0, 3), (3, 0)

Problem 3 :

(-2, 5), (1, -1), (4, 6)

Problem 4 :

(1, 4), (4, 1), (7, 4)

Problem 5 :

(-1, -6), (1, 1), (4, -5)

Problem 6 :

(-4, 3), (2, -1), (8, -1)

Solution

## Answer Key

1)  Isosceles triangle.

2)  Isosceles triangle

3) Scalene triangle.

4)  Right triangle.

5)  Scalene triangle.

6)  Scalene triangle.

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