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Worksheets

3rd 9 weeks save

Total questions: 81

Worksheet time: 5hrs 43mins

Name
Class
Date
1.
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.
2.
What congruency postulate proves the triangles congruency?
a)
SAS
b)
ASA
c)
SSS
d)
HL
3.
What postulate would prove triangle ∆NYQ is congruent to ∆PYQ?
a)
ASA
b)
SAS
c)
SSS
d)
HL
4.
When do you use "CPCTC in a proof?
a)
ALWAYS at the beginning
b)
ALWAYS at the end
c)
It's optional
d)
NEver
5.
What postulate proves these triangles congruent?
a)
HL
b)
SSS
c)
SAS
d)
ASA
6.
Fill in the blank.
a)
Given
b)
Reflexive Property
c)
Transitive Property
d)
They're the same side!!!!!! 
7.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
8.
These triangles are congruent. If ∠E is 45o and ∠B is 55o what is the measure of ∠C?
a)
45o
b)
55o
c)
80o
d)
100o
9.
If ΔDEF ≅ ΔRST, then we can conclude that DE = what?
a)
ST
b)
RS
c)
DF
d)
RT
10.
If ΔABC ≅ ΔXYZ, which statement is always true?
a)
AB = YZ
b)
∠C ≅ ∠Z
c)
∠B ≅ ∠C
d)
AC = XY
11.

Which two angles are the remote interior angles to Angle W?

a)

Angle X and Angle Y

b)

Angle X and Angle Z

c)

Angle Y and Angle Z

d)

Angle Z and Angle W

12.

What is the measure of x?

a)

101°

b)

111°

c)

121°

d)

131°

13.

Find the indicated angle measure. (What is ?)

a)

51°

b)

37°

c)

167°

d)

41°

14.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
15.
Find the measure of each angle indicated. 
a)
33°
b)
136°
c)
36°
d)
31°
16.
Solve for x.
a)
-12
b)
-8
c)
-10
d)
-5
17.
What is the value of x?
a)
15
b)
9
c)
12
d)
11
18.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
19.

Sides a and b are called legs.

a)

true

b)

false

20.

What is the name for side c?

a)

head

b)

body

c)

hippopotamus

d)

hypotenuse

21.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

22.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
23.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

24.

Which are part of a right triangle?

Check all that apply.

a)

right angle

b)

radius

c)

legs

d)

hypotenuse

e)

proportion

25.

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

26.
Which would be the best classification for the triangle shown?
a)
right isosceles
b)
obtuse scalene
c)
obtuse isosceles
d)
right scalene
27.
a)
72
b)
67
c)
65
d)
54
28.
Determine x
a)
93
b)
71
c)
81
d)
55
29.
a)
12
b)
11
c)
8
d)
6
30.

Which segment is a median?

a)

AB\overline{AB}

b)

GB\overline{GB}

c)

DE\overline{DE}

d)

CF\overline{CF}

31.

Which segment is a altitude?

a)

AB\overline{AB}

b)

GB\overline{GB}

c)

DE\overline{DE}

d)

CF\overline{CF}

32.

Which segment is a perpendicular bisector?

a)

AB\overline{AB}

b)

GB\overline{GB}

c)

DE\overline{DE}

d)

CF\overline{CF}

33.

Which segment is an angle bisector?

a)

AB\overline{AB}

b)

GB\overline{GB}

c)

DE\overline{DE}

d)

CF\overline{CF}

34.

The centroid is where the ___________ of a triangle meet.

a)

medians

b)

altitudes

c)

perpendicular bisectors

d)

angle bisectors

35.

FK\overline{FK}  is a median to triangle FGM. If GK = 6, how long is GM?

a)

6

b)

2.8

c)

5.6

d)

12

36.

BD\overline{BD}  is a median in triangle ABC. Solve for x.

a)

7

b)

14

c)

29

d)

58

37.

MR\overrightarrow{MR}  is an angle bisector in triangle NMP. If  m1 = 2x +7m\angle1\ =\ 2x\ +7  and  m2 = 3x  13m\angle2\ =\ 3x\ -\ 13  , how many degrees is the measure of angle 1?

a)

20

b)

47

c)

40

d)

94

38.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
39.
If G is the centroid of triangle ABC and GF= 4. Find the length of GC.
a)
4
b)
8
c)
12
d)
Not Enough Information
40.

What is the point of concurrency?

a)

Orthocenter

b)

Circumcenter

c)

Incenter

d)

Centroid

41.

What is the point of concurrency?

a)

Orthocenter

b)

Circumcenter

c)

Incenter

d)

Centroid

42.
If D is the orthocenter, what type of segments are drawn?
a)
medians
b)
altitudes
c)
angle bisectors
d)
perpendicular bisectors
43.
The circumcenter of a triangle is equidistant from the _______ of the triangle.
a)
vertices
b)
sides
c)
center
d)
midsegment
44.
When you draw the perpendicular bisectors of a triangle it creates the point of concurrency called the _____________.
a)
Centroid
b)
Incenter
c)
Circumcenter
d)
Orthocenter
45.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
46.
Can the sides of a triangle have lengths 3, 8, and 9?
a)
Yes
b)
No
47.
Can the sides of a triangle have lengths 3, 4, and 9?
a)
Yes
b)
No
48.
What is a possible third side to a triangle with side lengths of 13 and 4?
a)
9
b)
12
c)
8
d)
5
49.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
50.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
51.
The longest side of a triangle would be located where on a triangle?
a)
Across from the smallest angle
b)
Across from the largest angle
c)
Cannot tell.
d)
Adjacent to the smallest side.
52.
The smallest angle would be located where in a triangle?
a)
Across from the smallest side.
b)
Across from the largest side
c)
Cannot tell
53.
Identify the shortest side measure.
a)
QP
b)
QM
c)
MP
54.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

55.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

56.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

57.

State if the triangles in each pair are similar. If so, state how you know they are similar.

a)

Yes, AA Similarity

b)

Yes, SSS Similarity

c)

Yes, SAS Similarity

d)

Not Similar

58.

What is the formula for scale factor?

a)

newold\frac{new}{old}

b)

oldnew\frac{old}{new}

59.
What is the SUM of the angle measures in a nonagon (9 sides)?
a)
1440°
b)
900°
c)
1080°
d)
1260°
60.
Find the value of X.
a)
100
b)
120
c)
125
d)
130
61.

Which formula represents how to find the interior angle sum of any polygon?

a)

(number of sides - 2) x 180

b)

(number of sides + 2) x 180

c)

number of sides x 180

d)

number of sides x 360

62.

What is a regular polygon?

a)

all side lengths are the same length

b)

all angles are the same (equal in measure)

c)

only some side lengths are the same

d)

all side lengths are different

e)

only some angles are the same

63.
What is the formula for the sum of exterior angles in a polygon?
a)
180(n−2)
b)
180(n−2)÷n
c)
360
d)
360/n
64.
What is the formula for a particular interior angle in a regular polygon?
a)
180(n−2)
b)
180(n−2)÷n
c)
360
d)
360/n
65.
What is the formula for a particular exterior angle in a regular polygon?
a)
180(n−2)
b)
180(n−2)÷n
c)
360
d)
360/n
66.
What is the measure of a single interior angle for a regular pentagon?
a)
900
b)
540
c)
360
d)
108
67.
Solve for x
a)
27
b)
72
c)
80
d)
14
68.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
69.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
70.
What is the value of x?
a)
132
b)
66
c)
114
d)
48
71.
______ parallelograms are quadrilaterals.
a)
All
b)
Some
c)
No
72.
Which quadrilateral has 4 right angles, 2 sets of parallel sides, and all of its' sides are the same length?
a)
Triangle
b)
Rhombus
c)
Rectangle
d)
Square
73.
______ squares are rectangles.
a)
All
b)
Some
c)
No
74.
The diagonals of a rectangle are
a)
parallel
b)
congruent
c)
perpendicular
d)
not congruent
75.
Which quadrilateral has opposite sides parallel?
a)
Rectangle
b)
Rhombus
c)
Square
d)
All of these do
76.
In a rhombus, all four sides are ___________.
a)
congruent
b)
parallel
c)
perpendicular
d)
unequal
77.
Figure A is a...
a)
Rectangle
b)
Square
c)
Rhombus
78.

Which of the following statements is false?

a)

a kite has no parallel sides

b)

a kite has one pair of congruent angles

c)

the diagonals of a kite are perpendicular

d)

the diagonals of a kite are congruent

79.
Which of the following statements is true?
a)
a kite has congruent opposite sides
b)
a kite has two pairs of congruent angles
c)
the diagonals of a kite are perpendicular
d)
the diagonals of a kite form 4 congruent triangles
80.
Which of the following statements about a kite is false?
a)
one diagonal bisects the other diagonal
b)
two angles are congruent
c)
the diagonals form 4 congruent triangles
d)
the diagonals are perpendicular
81.
Which of the following statements is false?
a)
BD and AC are perpendicular
b)
BD and AC are congruent
c)
∠A and ∠C  are congruent
d)
BD bisects AC