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Perpendicular bisectors and bisectors

Total questions: 19

Worksheet time: 2hrs 35mins

Name
Class
Date
1.

Fill in the blank:

A point that is the same distance from two figures is ___________________ from from the two figures.

a)

Equidistant

b)

Congruent

c)

Vertical

d)

Corresponding

2.

Find BC.

a)

BC = 4

b)

BC = 16

c)

BC = 12

d)

BC = 24

3.

Find the measure of angle CAD.

a)
b)
c)
d)
4.

Find BC.

a)

BC = 4

b)

BC = 16

c)

BC = 12

d)

BC = 24

5.

Find AC.

a)

AC = 5

b)

AC = 3

c)

AC = 27

d)

AC = 10

6.

Find BC.

a)

BC = 14

b)

BC = 1

c)

BC = 21

d)

BC = 7

7.

Find the measure of angle CAD.

a)
b)
c)
d)
8.

Find BD.

a)

BD = 20

b)

BD = 2

c)

BD = 4

d)

BD = 10

9.

Find the measure of angle BAC.

a)
b)
c)
d)
10.
The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
a)
True
b)
False
11.
Solve for x.
a)
5
b)
2
c)
4
d)
1
12.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
13.
YW is the perpendicular bisector of XZ. Is triangle YWX≅ Triangle YWZ? If so how?
a)
no
b)
yes, SSS
c)
yes, SAS
d)
yes, ASA
14.
YW is the perpendicular bisector of XZ. Is triangle YWX≅ Triangle YWZ? If so how?
a)
no
b)
yes, SSS
c)
yes, SAS
d)
yes, ASA
15.
Segment AD is ________.
a)
a perpendicular segment
b)
a median 
c)
an angle bisector
d)
an altitude
16.
This triangle has...
a)
Altitudes
b)
Perpendicular Bisectors 
c)
Midsegments
d)
Medians
17.
Find m< JKM
a)
90
b)
76
c)
38
d)
83
18.
Find HG
a)
28
b)
14
c)
41
d)
7
19.
a)
m∠SQP=90, m∠PQR=90
b)
m∠SQP=45, m∠PQR=45
c)
m∠SQP=45, m∠PQR=90
d)
m∠SQP=90, m∠PQR=45