# 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 : 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

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

1)  Isosceles triangle.

2)  Isosceles triangle

3) Scalene triangle.

4)  Right triangle.

5)  Scalene triangle.

6)  Scalene triangle.

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