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Geometry Quiz on 4.5 and 4.7

Total questions: 37

Worksheet time: 47mins

Name
Class
Date
1.

Are the triangles congruent? Why or why not?

a)

Yes: SAS

b)

Yes: AAS

c)

Yes: ASA

d)

No: not enough information

2.

Are the triangles congruent? If so why?

a)

Yes: HL

b)

Yes: SAS

c)

Yes: SSA

d)

No

3.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not enough information

e)

HL

4.
Determine the Conclusion.
a)
Then ∠BCA ≅ ∠DCA.
b)
Then ∠BAC ≅ ∠DAC.
c)
Then Segment AB is congruent to Segment AD.
d)
Then ∠BAC and ∠DAC are right angles.
5.
Which additional information will prove the triangles congruent by HL?
a)
GH≅SR
b)
FG≅RT
c)
FH≅ST
d)
GH≅ST
6.
Two right triangles are congruent if they have a congruent Hypotenuse and Leg
a)
True
b)
False
7.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

e)

HL

8.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
9.
Is Angle-Angle-Angle (AAA), a valid rule for proving triangles congruent?
a)
No
b)
Sometimes
c)
Yes
d)
N/A
10.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
11.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
12.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

e)

HL

13.
Which of the following describes a median of a triangle?
a)
A. A middle of the triangle.
b)
B. A segment with endpoints at the vertex and midpoint of the opposite side.
c)
C. A segment that connects two midpoints of two sides.
d)
D. A segment that connects the vertex and the opposite side at 90 degrees. 
14.
Identify the special segment that's pictured: 
a)
Altitude
b)
Midsegment
c)
Median
d)
Angle Bisector
15.
A median of a triangle connects the ___________ of a side to the opposite vertex.
a)
midpoint
b)
right angle
c)
end point
d)
angle
16.

Find GF

a)

18.6

b)

11.1

c)

12.6

d)

14

17.

find FE

a)

16

b)

32

c)

11

d)

26

18.
a)

2

b)

8

c)

10

d)

4

19.
10. What type of lines are shown
a)
perpendicular bisectors
b)
medians
c)
altitudes
d)
angle bisectors
20.

13. Which line is an altitude?

a)

XY

b)

BY

c)

AZ

d)

XC

21.

A segment joining a vertex to the opposite side so that is perpendiuclar to that side.

a)

perpendicular bisector

b)

angle bisector

c)

median

d)

altitude

22.

The figures above are examples of ...

a)

altitudes

b)

perpendicular bisectors

c)

medians

d)

angle bisectors

23.

Segment BH is an example of which of the following?

a)

Perpendicular Bisector

b)

Altitude

c)

Median

d)

Angle Bisector

24.

Which of the following statements are true? Choose all that apply.

a)

BH‾\overline{BH} is perpendicular to AC‾\overline{AC}

b)

m∠ABH=90°m\angle ABH=90\degree

c)

ΔCBH\Delta CBH is a right triangle

d)

AH‾ ≅HC‾\overline{AH}\ \cong\overline{HC}

e)

m∠CHB=90°m\angle CHB=90\degree

25.

Name the segment/line/ray shown in the picture.

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

26.
Which of the following segments represents an altitude?
a)
Segment BX
b)
Segment AZ
c)
Segment AC
d)
Segment BZ
27.

The figure is an example of a(n) ...

a)

median

b)

perpendicular bisector

c)

altitude

d)

midpoint

28.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
29.
The altitude is __________to the side of a triangle.
a)
parallel
b)
skew
c)
off
d)
perpendicular
30.

KL is a Median: Find LJ

a)

6

b)

5

c)

3

d)

9

31.

Given segment AM is a median in ΔABC. Find the length of segment BC.

a)

34

b)

6

c)

17

d)

27

32.
HK is an altitude in ΔGHI.
What is the measure of ∠HKG?
a)
60°
b)
180°
c)
90°
d)
360°
33.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
34.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
35.
CF, BE, and AD are the medians of the triangle. If BF =10, find AF.
a)
20
b)
10
c)
5
d)
Not Enough Information
36.
A line, segment, or ray that passes through the midpoint of a side that is creates a 90 degree angle with that side.
a)
Perpendicular bisector
b)
Angle bisector
c)
Median
d)
Altitude
37.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector

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