WorksheetsCongruent Overlapping Triangles
Total questions: 25
Worksheet time: 2hrs 43mins
Name
Class
Date
1.
Identify any common angles or sides
a)
JK
b)
Angle MJK
c)
LK
d)
Angle MKJ
2.
Identify common angles or sides
a)
Angle E
b)
Angle D
c)
Angle F
d)
Angle DGF
3.
The red and blue triangles are congruent. Identify a common side or angle.
a)
Side DF
b)
Angle E
c)
Angle G
d)
Angle GDE
4.
The red and blue triangles are congruent. Identify a common side or angle.
a)
Side XY
b)
Side XZ
c)
Angle TWZ
d)
Side YT
5.
Name a pair of overlapping congruent triangles and state how. (Hint: they have to be overlapping)
a)
∆AQT ≅ ∆SQT by SAS
b)
∆TAR ≅ ∆TSP by AAS
c)
∆TAR ≅ ∆TSP by ASA
d)
∆AQT ≅ ∆SQT by SSA
6.
When does one use CPCTC?
a)
Before triangles are congruent
b)
After triangles are congruent
c)
Whenever one wants, there are no restrictions
d)
There is no such thing as CPCTC
7.
Name a side or angle that is overlapping.
a)
AB
b)
BC
c)
DC
d)
∠DAC
8.
Name a side or angle that is overlapping.
a)
∠Y
b)
ZY
c)
YT
d)
NP
9.
What additional information is required to prove the two triangles are congruent by SAS?
a)
A)
b)
B)
c)
C)
d)
D)
10.
What additional information is required to prove the two triangles are congruent by HL?
a)
A)
b)
B)
c)
C)
d)
D)
11.
What additional information is required to prove the two triangles are congruent by ASA?
a)
A)
b)
B)
c)
C)
d)
D)
12.
What additional information is required to prove the two triangles are congruent by SSS?
a)
A)
b)
B)
c)
C)
d)
D)
13.
What additional information is required for the two triangles to be congruent by SSS?
a)
A
b)
B
c)
C
d)
D
14.
What does CPCTC stand for?
a)
Corresponding Parts of Congruent Triangles are Congruent
b)
Congruent Parts of Congruent Triangles are Corresponding
c)
Corresponding Parts of Canadian Triangles are Cool
d)
Congruent Parts of Corresponding Parts are Corresponding
15.
Fill in the missing pieces of the proof.
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)
16.
Which of the following cannot be used to prove triangles congruent?
a)
HL
b)
AA
c)
SSS
d)
SAS
17.
All of the following prove triangles congruent except
a)
SSS
b)
SAS
c)
CPCTC
d)
HL
18.
What additional information can we conclude from the given and why?
a)
∠ADB and ∠ADC are right angles because AD goes straight down.
b)
∠B≅∠C because the triangle is isosceles
c)
∠BAD≅∠CAD because they look the same
d)
None of the above
19.
What is the common side in triangle BDC and CED?
a)
AB
b)
EB
c)
CB
d)
CD
20.
According to the diagram at the right, which statement is true?
a)
Triangle DEH is congruent to triangle GFH by AAS
b)
Triangle DEH is congruent to triangle GFH by SAS
c)
Triangle DEF is congruent to triangle GFE by AAS
d)
Triangle DEF is congruent to triangle GFE by SAS
21.
Which CANNOT be used to prove that triangle MNK is congruent to triangle KLM?
a)
SAS
b)
ASA
c)
HL Theorem
22.
Which pair of triangles can be proven congruent by the ASA Postulate?
a)
b)
c)
d)
23.
Are these triangles congruent?
a)
Yes, by ASA
b)
Yes, by SAS
c)
No they are not congruent
d)
Not enough information to know for sure
24.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by ASA
c)
No they are not congruent
d)
Not enough information to know for sure
25.
Name a side or angle that is overlapping.
a)
∠J
b)
∠L
c)
NL
d)
∠K
100 %
