PRACTICE PROBLEMS ON PERPENDICULAR ISECTOR AND MEDIAN OF A TRIANGLE

Write an equation for the perpendicular bisector of the line segment joining

Problem 1 :

A(1, 4) and B(6, -6)

Solution

Problem 2 :

A(-3, -5) and B(9, -2)

Solution

Problem 3 :

A(5, 10) and B(10, 7)

Solution

Problem 4 :

A (-3, 4) and B (5, 6)

Solution

Problem 5 :

A (3, 8) and B (7, 14)

Solution

Problem 6 :

A (-5, 6) and B (1, 8)

Solution

Problem 7 :

A (-3, -6) and B (-1, 2)

Solution

Answer Key

1)  2x - 4y = 11

2)  8x + 2y = 17

3)  10x - 6y = 24

4)   y = -4x + 9.

5)  2x + 3y = 43.

6)   y = -3x + 1.

7)  x + 4y = -10.

The ordered pairs represent vertices of a triangle. Write an equation of the line containing the median that joins the first vertex to the side opposite it.

Problem 1 :

(8, 4), (0, 0), (10, 0)

Solution

Problem 2 :

(3, 10), (4, 2), (10, 8)

Solution

Problem 3 :

(2, 6), (3, 1), (7, 5)

Solution

Answer Key

1)  4x - 3y - 20 = 0

2)  5x + 4y - 55 = 0

3)  x + y - 8 = 0

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