WorksheetsTriangle Congruance
Total questions: 45
Worksheet time: 2hrs 46mins
Name
Class
Date
1.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
2.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
3.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
5.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
5.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
6.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
7.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
8.
Which is NOT a Postulate or Theorem that proves triangles congruent?
a)
SAA
b)
SSS
c)
SSA
d)
SAS
9.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
AAA
b)
AAS
c)
ASA
d)
Not necessarily congruent
10.
What is the correct congruence statement? ΔDEC ≅________
a)
ΔAEB
b)
ΔEAB
c)
ΔBEA
d)
Not Congruent
11.
∠A ≅∠?
a)
∠B
b)
∠E
c)
∠D
d)
∠F
12.
a)
A
b)
B
c)
C
d)
D
13.
Fill in the blank.
a)
Given
b)
Reflexive Property
c)
Transitive Property
d)
They're the same side!!!!!!
14.
What is statement #2?
a)
∠ABC≅∠EDC
b)
∠BCA≅∠DCE
c)
BC≅CD
d)
∠E≅∠A
15.
What is the "statement" for step 3 of the proof?
a)
AH=AN
b)
AD=AD
c)
HD=ND
d)
HD=DN
16.
If the "statement" for step 3 is ∡HJI≅∡KJL of the proof, what is the "reason"?
a)
Vertical Angles
b)
Reflexive Property
c)
Alternate Interior Angles
d)
Given
17.
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Transitive Property, SSS(Side-Side-Side)
d)
Reflexive Property, SSS(Side-Side-Side)
18.
What is the "statement" for step 4 of the proof?
a)
∡MAH≅∡THA
b)
∆MHA≅∆THA
c)
HM=AT
d)
∆MAH≅∆THA
19.
What does CPCTC stand for?
a)
Congruent parts of congruent triangles are congruent
b)
Corresponding parts of congruent triangles are congruent
c)
Corresponding parts of corresponding triangles are corresponding
d)
Corresponding parts of congruent triangles are Canadian.
20.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
21.
What is the reason?
a)
Definition of perpendicular
b)
Definition of Right angle
c)
Definition of 90
d)
Definition of angle
22.
What is the measure of <C?
a)
5º
b)
25º
c)
100º
d)
125º
23.
Which equation would you use to find x?
a)
2x-6=7x+4
b)
2x-6+7x+4=90
c)
2x-6+7x+4=180
d)
2x-6+7x+4=0
24.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
right scalene
c)
acute scalene
d)
obtuse scalene
25.
What is the value of the ANGLE A (not just x)?
a)
151
b)
68
c)
151
d)
70
26.
Which angle is the vertex angle?
a)
<C
b)
<A
c)
<B
27.
Find the measure of angle A.
a)
75o
b)
60o
c)
30o
d)
38o
28.
What additional information is required for the 2 triangles to be congruent by ASA?
a)
A
b)
B
c)
C
d)
D
30.
a)
HL
b)
SAS
c)
not congruent
d)
AAS
30.
a)
HL
b)
SAS
c)
not congruent
d)
AAS
31.
a)
DE≅WV
b)
DE≅DF
c)
FE≅XV
d)
XV≅WX
32.
a)
IJ≅CE
b)
CE≅JH
c)
DE≅CE
d)
DE≅JI
33.
a)
-2, 4
b)
-8
c)
±8
d)
No real solution
34.
What are the factors AND solutions of x2 + 2x – 3 = 0
a)
(x - 2)(x + 1); x=2, x=-1
b)
(x + 1)(x - 3); x=-1, x=3
c)
(x + 2)(x - 1); x=-2, x=1
d)
(x - 1)(x + 3); x=1, x=-3
35.
Factor
k2+7x+10
k2+7x+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
36.
Factor
3v2 - 4v - 7
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
37.
Factor
3a2 + 4a + 1
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
38.
Factor:
2x² - 3x - 2
2x² - 3x - 2
a)
(2x - 2)(x + 1)
b)
(2x + 1)(x - 2)
c)
(2x - 1)(x - 2)
d)
(2x - 1) (x - 1)
39.
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
40.
Solve
6x2 + 17x + 12 = 0
6x2 + 17x + 12 = 0
a)
x = -4/3, x = -3/2
b)
x = 9, x = 8
c)
x = 4, x = 3
d)
x = -4, x = -3
41.
Solve
x2 + 9x + 20 = 0
x2 + 9x + 20 = 0
a)
x = -2, x = -10
b)
x = -3, x = -4
c)
x = -4, x = -5
d)
x = -4, x = -6
42.
Solve
2x² - 3x - 2 = 0
2x² - 3x - 2 = 0
a)
x = 1, x = -1
b)
x = -1/2, x = 2
c)
x = 1/2, x = 2
d)
x = 1/2, x = 1
43.
Identify the 'b' value:
y = 16x2 - 8x - 24
y = 16x2 - 8x - 24
a)
16
b)
-8
c)
8
d)
-24
44.
What are the zeros to the equation
x2 - 2x = 8?
a)
x = 2 or x = -4
b)
x = 1 or x = -8
c)
x = 4 or x = -2
d)
x = 8 or x = -1
45.
Solve for k: (sing a song)
k2 − 12k + 23 = 0
a)
{6 + √13, 6 - √13}
b)
{-6 + √13, -6 - √13}
c)
{6 + √59, 6 - √59}
d)
{-6 + √59, -6 - √59}
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