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 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

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

Solution

Problem 2 :

(-3, -1), (2, y); d = √41

Solution

Problem 3 :

(x, 7), (-4, 1); d = 6√2

Solution

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)

Solution

Problem 2 :

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

Solution

Problem 3 :

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

Solution

Problem 4 :

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

Solution

Problem 5 :

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

Solution

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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