PRACTICE PORBLEMS ON PERPENDICULAR BISECTOR OF TRIANGLE

Problem 1 :

Find the measure of RT and RV.

perpendicularbisectorqn1

Solution

Problem 2 :

Find the measure of HJ

perpendicularbisectorqn2.png

Solution

Problem 3 :

Find the measure of FG.

perpendicularbisectorqn3.png

Solution

Problem 4 :

Find x and y.

a) mADB = (7x + 27), find x

b) BC = (3y – 7), BD = (y + 3). Find y.

Here AD is perpendicular bisector.

perpendicularbisectorqn4.png

Solution

Problem 5 :

DE is the perpendicular bisector of AC.

i) AB = _____________

ii) AE = _____________

iii) AD = _____________

iv) BC = ______________

v) AC = ______________

vi) CD = ______________

perpendicularbisectorqn5.png

Solution

Problem 6 :

XY is perpendicular bisector of RS and TU

perpendicularbisectorqn6.png

Solution

Problem 7 :

use the diagrams to solve for the unknown variables x and y.

perpendicularbisectorqn7.png

Solution

Problem 8 :

CD is the Perpendicular Bisector of AB If

AC = 6x + 9 and CB = 2x + 33

find BC.

perpendicularbisectorqn8.png

Solution

Answer Key

1)  TR = 16, VR = 2√15

2)  x = 2, HJ = 7

3)  x = 9, FG = 28

4)  x = 9, y = 13

5)  y = 7, x = 12

i)  AB = 102

ii)  AE = = 52

iii)  AD = 76

iv)  BC = 90

v)  AC = 104

vi)  CD = 76

6)  SU = 4

i) XS = 12, ii) XT = 16, iii) TU = 14, iv) ZS = 4 = RZ

v) TR = 4 = SU

7)  x = 4, y = 4

8)  x = 6, BC = 45

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