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Worksheets

Mod 5 practice

Total questions: 41

Worksheet time: 2hrs 59mins

Name
Class
Date
1.
An angle bisector cuts an angle into two congruent _________
a)
Angles!
b)
Segments
c)
Mysteries
2.
What is always the 1st statement in reason column of a proof?
a)
Prove
b)
Given
c)
Reason
d)
Statement
3.
What does CPCTC stand for?
a)
Corresponding Parts of Congruent Triangles are Congruent
b)
Congruent Parts of Congruent Triangles are Corresponding
c)
Colorful Pieces of Corresponding Triangles are Congruent
d)
Congruent Pieces of Congruent Triangles are Congruent
4.
What is the "reason" for step 5 of the proof?
a)
Angle Bisector Theorem
b)
Reflexive property
c)
CPCTC Theorem
d)
Proof
5.
What is the "statement" for step 2 of the proof?
a)
AD=AD
b)
AD=DA
c)
HD=DN
d)
HA = AN
6.
What is the "statement" for step 3 of the proof?
a)
HT=TA
b)
HA=AH
c)
MA=AM
d)
MA=MH
7.
What is the "statement" for step 3 of the proof? 
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
8.
If DA bisects IE, then
a)
ID=ED
b)
IA=EA
c)
<IDA=<EDA
d)
<IAD and <EAD are right angles
9.
If DA is perpendicular to IE, then we can immediately conclude that
a)
IA=AE
b)
<IAD = <DAE
c)
<IDA=<EDA
d)
<IAD and <DAE are right angles
10.
A segment bisector cuts a segment into two congruent
a)
Segments!
b)
Angles
c)
Mysteries
11.
In this picture, we know for sure that
a)
<TEB=<ETS
b)
<BTE=<SET
c)
BE=ST
d)
Both 1 and 2 are correct
12.
In this picture,
a)
<BCA=<DCE because they are vertical angles and vertical angles are always congruent to each other
b)
<C=<C because they are vertical angles and vertical angles are always congruent to each other
c)
<EDC=<ACB because they are vertical angles and vertical angles are always congruent to each other
d)
None of the above; we don't actually have vertical angles
13.
What is the justification (reason)?
a)
Reflexive Property
b)
Symmetric Property
c)
Transitive Property
d)
Substitution
14.
What is the justification (reason)?
a)
reflexive property
b)
definition of segment bisect
c)
definition of a midpoint
d)
substitution property
15.
Which of the following is NOT a triangle congruence criteria?
a)
SAS
b)
AAS
c)
SSA
d)
ASA
16.
What triangle congruence criteria is shown in the given diagram?
a)
AAS
b)
ASA
c)
SSA
d)
SAS
17.
A triangle with two congruent sides and two congruent angles (base angles) is called ...
a)
scalene
b)
equilateral
c)
isosceles
d)
obtuse
18.

Which triangle is a right triangle?

a)
b)
c)
d)
19.

What do we call the side across from the right angle?

a)

Leg

b)

a

c)

Hypotenuse

d)

Obtuse

20.

What is always true about the hypotenuse?

a)

Is the shortest side of the triangle.

b)

Is the height of the triangle.

c)

Is labeled as b.

d)

Is the longest side of the triangle.

21.

Which is the formula used for the Pythagorean Theorem?

a)

a2+b2+c2

b)

a+b=c

c)

a2+c2=b2

d)

a2+b2=c2

22.

What is the to correct set up to find the value of X in the picture above?

a)

122+202=X212^2+20^2=X^2

b)

202+X2=12220^2+X^2=12^2

c)

X2+122=202X^2+12^2=20^2

d)

X2+202=122X^2+20^2=12^2

23.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
AAS
b)
SSS
c)
SAS
d)
SSA
24.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

SAS

c)

ASA

d)

HL

25.
How are the triangles congruent?
a)
HL
b)
SSS
c)
SAS
d)
AAS
26.

What additional info would prove each pair of triangles congruent by HL?

a)

AC‾≅AC‾\overline{AC}\cong\overline{AC}

b)

AD‾≅BC‾\overline{AD}\cong\overline{BC}

c)

∠B≅∠D\angle B\cong\angle D

d)

<B and <D are right angles

27.
What additional information is required for the 2 triangles to be congruent by SAS?
a)
A
b)
B
c)
C
d)
D
28.
What additional information is required for the 2 triangles to be congruent by SSS?
a)
A
b)
B
c)
C
d)
D
29.
Use the congruency statement to answer the following: 
∠F = ___
a)
∠H
b)
∠I
c)
∠G
d)
not congruent to another angle
30.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
31.
What additional information is required for the 2 triangles to be congruent by ASA?
a)
A
b)
B
c)
C
d)
D
32.
What is the correct congruence statement?  ΔDEC ≅________
a)
ΔAEB
b)
ΔEAB
c)
ΔBEA
d)
Not Congruent
33.

Given: ΔABD≅ΔCDB\Delta ABD\cong\Delta CDB

Find the value of x.

a)

26

b)

33

c)

18

d)

23

34.
Question Image

Match each angle or segment with its corresponding, congruent part.

a)

∡ EGF

1.

∡ HFG

b)

∡ EFG

2.

∡ HGF

c)

∡ FIE

3.

∡ GIH

d)

FH‾\overline{FH}

4.

GE‾\overline{GE}

e)

GI‾\overline{GI}

5.

FI‾\overline{FI}

35.

If ΔEHG≅ΔKFC\Delta EHG\cong\Delta KFC , which statement is true? 

a)

EH‾≅FK‾\overline{EH}\cong\overline{FK}  

b)

HG‾ ≅ KF‾\overline{HG}\ \cong\ \overline{KF}  

c)

EG‾ ≅ KC‾\overline{EG}\ \cong\ \overline{KC}  

d)

∠E≅∠C\angle E\cong\angle C  

36.

∆EHG ≅ ∆KFC
Which is a true statement?

a)

EH ≅ FK

b)

HG ≅ KF

c)

EG ≅ KC

d)

∠E ≅ ∠C

37.

Given the two triangles, which congruence statement is NOT true?

a)

AB ≅ DFAB\ \cong\ DF

b)

DE ≅ ACDE\ \cong\ AC

c)

Δ ABC ≅ ΔDFE\Delta\ ABC\ \cong\ \Delta DFE

d)

ΔABC ≅Δ DEF\Delta ABC\ \cong\Delta\ DEF

38.

∆ABC ≅ ∆XYZ
which is FALSE?

a)

∠A ≅ ∠X\angle A\ \cong\ \angle X

b)

∠Z ≅ ∠C\angle Z\ \cong\ \angle C

c)

∠B ≅ ∠Z\angle B\ \cong\ \angle Z

d)

∠Y ≅ ∠B\angle Y\ \cong\ \angle B

39.

Solve for x.

a)

72o

b)

144o

c)

46o

d)

36o

40.

A slice of pumpkin pie is shaped like an isosceles triangle. If the tip is 38 degrees, how big are the base angles?

a)

38°38\degree

b)

71°71\degree

c)

142°142\degree

d)

180°180\degree

41.

Given: ΔYXW≅ΔXYZ\Delta YXW\cong\Delta XYZ

Find the value of p.

a)

2

b)

9

c)

0

d)

4