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5.3 alt, med, ang bis, perp bis, triangle congruence proofs

Total questions: 24

Worksheet time: 21mins

Name
Class
Date
1.

Fill in the missing proofs.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Reflexive Property, Vertical Angles Thm.

d)

Transitive Property, SSS(Side-Side-Side)

2.

Identify the missing statement or reason

a)

Given

b)

Vertical Angles Theorem

c)

Definition of Angle Bisector

d)

Alternate Interior Angles Theorem

3.

Identify the missing statement or reason

a)

Definition of Angle Bisector

b)

Alternate Interior Angles Theorem

c)

Reflexive Property

d)

Definition of Midpoint

4.

 \perp  

a)

parallel

b)

perpendicular

c)

skew

d)

coplanar

5.

 \cong  

a)

similar

b)

congruent

c)

proportional

d)

skew

6.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
7.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
8.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
9.
The figure is an example of a(n) ...
a)
midsegment
b)
perpendicular bisector
c)
altitude
d)
midsegment
10.
Which of the following segments represents a median?
a)
BX
b)
AZ
c)
AC
d)
BZ
11.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
12.
Identify AD as a median, altitude, neither, or both according to what can be proved.
a)
Median
b)
Altitude
c)
Neither
d)
Both
13.
a line segment joining the vertex of a triangle to the midpoint of the opposite side
a)
median
b)
midsegment
c)
altitude
14.
the perpendicular line from a vertex to its opposite side in a triangle
a)
median
b)
midsegment
c)
altitude
15.

What special segment is drawn in the large triangle?

a)

Median

b)

Altitude

c)

Perpendicular Bisector

d)

Angle Bisector

16.
What is the correct choice for Statement 2?
a)
Segment GH ≅ Segment KL
b)
∠G ≅ ∠K
c)
Segment GI ≅ Segment KJ
d)
Segment HI ≅ Segment LJ
17.
What is the correct choice for Reason 3?
a)
Statement
b)
Reason
c)
Given
d)
Prove
18.
What is the correct choice for Reason 4?
a)
⊿GHI ≅ ⊿JKL
b)
⊿GHI ≅ ⊿KLJ
c)
⊿GHI ≅ ⊿LJK
d)
⊿GHI ≅ ⊿LKJ
19.

What is the correct choice for Statement 5?

a)

SAS

b)

Definition of Congruence

c)

Prove

d)

Congruent Triangles have Congruent Parts

20.
What is the correct choice for Statement 1?
a)
segment MN ≅ segment OP
b)
Given
c)
<MNP ≅ <OPN
d)
segment MP ≅ segment NO
21.
What is the correct choice for Reason 2?
a)
Given
b)
Prove
c)
Reflexive Property
d)
Definition of Congruence
22.
What is the correct choice for Reason 3?
a)
Vertical Angles are Congruent
b)
Definition of Congruence
c)
Given
d)
Reflexive Property
23.
What is the correct choice for Reason 4?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
24.
What is the correct choice for Statement 5?
a)
Prove
b)
Segment MP ≅ Segment NO
c)
Segment MN ≅ Segment OP
d)
Given