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4-5 Triangle Congruence 'Proofs'

Total questions: 20

Worksheet time: 3570secs

Name
Class
Date
1.

If L is the midpoint of TJ, what must be true? Draw and label the diagram on your paper.

a)

TL=JT

b)

JL=TJ

c)

TL=LJ

d)

T is also the midpoint of JL

2.
An angle bisector cuts an angle into two congruent _________
a)
Angles!
b)
Segments
c)
Mysteries
3.
A segment bisector cuts a segment into two congruent
a)
Segments!
b)
Angles
c)
Mysteries
4.

If DA bisects IE, then

a)

ID=ED

b)

IA=EA

c)

<IDA=<EDA

d)

<IAD and <EAD are right angles

5.
If AD bisects <EDI, then
a)
<ADE=<IDA
b)
IA=AE
c)
ID=ED
d)
All of the above
6.

In this picture, we know for sure that... (think about what theorem allows you to conclude this)

a)

<TEB=<ETS

b)

<BTE=<SET

c)

BE=ST

d)

Both 1 and 2 are correct

7.
Which of the following is NOT a triangle congruence criteria?
a)
SAS
b)
AAS
c)
SSA
d)
ASA
8.
Which conclusion can be made from the given picture, given AC || BD.
a)
∠B≅∠D
b)
∠C≅∠B
c)
∠A≅∠D
d)
∠A≅∠B
9.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
10.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
11.
Are these triangles congruent?
a)
Yes, by ASA
b)
Yes, by SAS
c)
Yes, by AAS
d)
No, this is the SSA one!!
12.

Are these two triangles congruent? If so, state the theorem.

a)

No, not enough info.

b)

Yes - AAS

c)

Yes - HL

d)

Yes - SSS

13.

Use the congruence statement to find the missing part of the statement

a)

WV

b)

UW

c)

VU

d)

WB

14.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
15.
What additional information is required for the 2 triangles to be congruent by ASA?
a)
A
b)
B
c)
C
d)
D
16.
PICK THE CORRECT CONGRUENCE STATEMENT
a)
∆TUV ≅ ∆EUV
b)
∆VUT ≅ ∆UVE
c)
∆TUV ≅ ∆UEV
d)
∆UTV ≅ ∆EUV
17.

Based on the given info, WHY do you know the following?

a)

Definition of Angle Bisector

b)

Alternate Interior Angles Theorem

c)

Reflexive Property

d)

Definition of Midpoint

18.

Use the GIVEN information to decide WHY the angles are congruent.

a)

Given

b)

Vertical Angles Theorem

c)

Definition of Angle Bisector

d)

Alternate Interior Angles Theorem

19.

Explain, step by step, how you know the triangles are congruent. (The previous problem was a hint!) Use proper theorems and vocab and the given info! Do this on paper first!!!!

4 lines
20.

Explain how you know the triangles are congruent. Use proper vocabulary, theorems, and postulates. Be sure to use the given info and the 'hint'. eEmember to draw and label your diagram on paper!

4 lines