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Congruent Triangles

Total questions: 35

Worksheet time: 2hrs 10mins

Name
Class
Date
1.
If Triangle ABC is congruent to Triangle XYZ, which pair of angles are congruent?
a)
B & Z
b)
B & X
c)
A & Z
d)
C & Z
2.
What is the correct congruence statement?  ΔDEC ≅________
a)
ΔAEB
b)
ΔEAB
c)
ΔBEA
d)
Not Congruent
3.
What is the correct congruence statement?  ΔLEU≅______
a)
ΔLGE
b)
ΔLEG
c)
ΔELG
d)
Not Congruent
4.
∠A ≅∠?
a)
∠B
b)
∠E
c)
∠D
d)
∠F
5.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
6.
∆EHG≅∆KFC
Which is a true statement?
a)
EH≅FK
b)
HG≅KF
c)
EG≅KC
d)
∠E≅∠C
7.
∆PRQ≅∆SRT
a)
TRUE
b)
FALSE
8.
PR≅RT
a)
TRUE
b)
FALSE
9.
QP≅ST
a)
TRUE
b)
FALSE
10.
Figures that have the same _____ and size are congruent triangles. 
a)
corresponding
b)
corners
c)
angles
d)
shape
11.
Solve for x
a)
30
b)
40
c)
50
d)
60
12.
a)
A
b)
B
c)
C
d)
D
13.
a)
A
b)
B
c)
C
d)
D
14.
If ∆XYZ ≅ ∆KLM, then
∠Y≅ _____
a)
∠K
b)
∠M
c)
∠L
d)
∠Z
15.
Right isosceles triangles will always have these angle measurements:
___, ___, and ____
a)
90°, 45°, 45°
b)
90°, 60°, 30°
c)
90°, 90°, 10°
d)
90°, 30°, 30°
16.
a)
∆JLK ≅ ∆XWJ
b)
∆LJK ≅ ∆JWX
c)
∆JKL ≅ ∆JXW
d)
∆LKJ ≅ ∆JXW
17.
Which statement indicates that the triangles in each pair are congruent.
a)
∆LMK ≅ ∆LMT
b)
∆LMK ≅ ∆TMK
c)
∆LTKM ≅ ∆LMT
d)
∆TMK ≅ ∆TLK
18.
If ∆LMK ≅ ∆LMT, then
∠K ≅ ____
a)
T
b)
∠T
c)
∠M
d)
∠L
19.
True or False.... If a triangle is equilateral, then it is equiangular.
a)
true
b)
false
20.
In congruent triangles, corresponding parts are always ______.
a)
opposite
b)
equal
c)
equilateral
d)
acute
21.
The side opposite the right angle of a right triangle is called the ______.
a)
Base
b)
Leg
c)
90°
d)
Hypotenuse
22.
Which symbol means "perpendicular"?
a)
b)
c)
d)
23.
If ΔABC ≅ ΔXYZ, which statement is always true?
a)
AB = AZ
b)
∠B ≅ ∠Y
c)
∠X ≅ ∠C
d)
AC = XC
24.
If ΔABC ≅ ΔXYZ, which statement is always true?
a)
BC = AZ
b)
∠C ≅ ∠Z
c)
∠B ≅ ∠A
d)
AC = XZ
25.
If ΔABC ≅ ΔXYZ, which statement is always true?
a)
BC = XZ
b)
∠B ≅ ∠Z
c)
∠A ≅ ∠X
d)
AB = YZ
26.
If ΔABC ≅ ΔXYZ, which statement is always true?
a)
XY = AB
b)
∠A ≅ ∠Z
c)
∠B ≅ ∠A
d)
AC = YZ
27.
If ΔABC ≅ ΔXYZ, which statement is always true?
a)
AB = YZ
b)
∠C ≅ ∠Z
c)
∠B ≅ ∠C
d)
AC = XY
28.
If ΔDEF ≅ ΔRST, then we can conclude that DE = what?
a)
ST
b)
RS
c)
DF
d)
RT
29.
If ΔDEF ≅ ΔRST, then we can conclude that EF = what?
a)
ST
b)
RT
c)
DF
d)
RS
30.
If ΔDEF ≅ ΔRST, then we can conclude that ∠T ≅ ____.
a)
∠F
b)
∠E
c)
∠D
d)
EF
31.
If ΔDEF ≅ ΔRST, then we can conclude that ∠R ≅ ____.
a)
∠F
b)
∠E
c)
∠D
d)
DF
32.
If ΔDEF ≅ ΔRST, then we can conclude that ∠S ≅ ____.
a)
∠F
b)
∠E
c)
∠D
d)
DE
33.
Which of the following is saying the same thing as ΔXYZ ≅ ΔLMN?
a)
ΔXZY ≅ ΔLNM
b)
ΔXMN ≅ ΔLZY
c)
ΔZYX ≅ ΔLMN
d)
ΔXYZ ≅ ΔLMN
34.
Which of the following is saying the same thing as ΔXYZ ≅ ΔLMN?
a)
ΔXYZ ≅ ΔLNM
b)
ΔXMN ≅ ΔLZY
c)
ΔZYX ≅ ΔNML
d)
ΔXYZ ≅ ΔLMN
35.
Which of the following is saying the same thing as ΔXYZ ≅ ΔLMN?
a)
ΔXYZ ≅ ΔLNM
b)
ΔYZX ≅ ΔMNL
c)
ΔZYX ≅ ΔNLM
d)
ΔXYZ ≅ ΔLMN