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Semester 1 Review

Total questions: 51

Worksheet time: 8hrs 48mins

Name
Class
Date
1.

Select all types of rigid transformations

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

2.

What is the only type of triangle that has a hypotenuse?

a)

obtuse triangle

b)

right triangle

c)

acute triangle

d)

equiangular triangle

3.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
4.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
5.

Which line is the transversal?

a)

line M

b)

line N

c)

line L

6.

M is the midpoint of the line segment. Which is the correct equation?

a)

x - 14 = 33

b)

2(x - 14) = 33

7.

Determine the ratio of the directed line segment AB when partitioned by point P.

a)

1:2

b)

2:1

c)

1:1

d)

3:1

e)

1:4

8.

FInd the area of the triangle

a)

24.2 units

b)

5 square units

c)

10 square units

d)

30 units

9.
Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)
a)
(-1, 13)
b)
(13, 1)
c)
(13, -1)
d)
(5, 13)
10.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
11.
What is the value of "a"?
a)
45
b)
55
c)
35
d)
65
12.

Solve for x.

a)

A

b)

B

c)

C

d)

D

13.

If angle 1 is 110o what is the measure of angle 8?

a)

70o

b)

20o

c)

110o

d)

The angle measure can not be determined.

14.

If m∠n = 113o, then m∠s =

a)

180o

b)

90o

c)

67o

d)

113o

15.

Solve for x.

a)

A

b)

B

c)

C

d)

D

16.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle has a measure less than 90°, then it is acute.

a)

Converse

b)

Contrapositive

c)

Biconditional

d)

Inverse

17.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle is not acute, then it does not have a measure less than 90°.

a)

Inverse

b)

Contrapositive

c)

Biconditional

d)

Converse

18.

Which of the following is the INVERSE of the statement below?

If an object is a computer, then it has a hard drive.

a)

If an object is not a computer, then it does not have a hard drive.

b)

If an object does not have a hard drive, then it is not a computer.

c)

If an object has a hard drive, then it is a computer.

d)

There is no inverse of the statement.

19.

Which of the following theorems/postulates would verify that ∠COB & ∠AOD are congruent?

a)

Straight Angle Theorem

b)

Congruent Compliments Theorem

c)

Vertical Angles Theorem

d)

Linear Pair Theorem

20.
Determine how to translate triangle A'B'C' to triangle ABC.
a)

(x+2, y-5)

b)

(x+2, y-9)

c)

(x-2, y+9)

21.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
22.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
23.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
24.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
25.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
26.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
AAS
d)
Not Possible
27.

What is the missing statement #4?

a)

Given

b)

ΔGHI ≅ΔKLJ\Delta GHI\ \cong\Delta KLJ

c)

∠G≅∠K\angle G\cong\angle K

28.

What is statement #4?

a)

ST≅UVST\cong UV

b)

Given

c)

SU≅VTSU\cong VT

29.

What are reasons #3 and #4?

a)

CPCTC

SSS

b)

AAS

CPCTC

c)

ASA

CPCTC

d)

Prove

ASA

30.
a)

AAS

b)

SAS

c)

ASA

d)

HL

31.
a)

Definition of Right Angle

b)

Definition of Bisector

c)

Definition of Midpoint

d)

Reflexive Property of Congruence

32.
a)
  1. Alternate interior angles formed by parallel lines cut by a transversal are congruent

b)
  1. Corresponding angles formed by parallel lines cut by a transversal are congruent 

c)
  1. Definition of Angle Bisector

d)
  1. Vertical angles are congruent

33.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
34.
If the dotted figure is the image, the original figure was reflected over the ...
a)
x-axis
b)
y-axis
35.
When an ordered pair is reflected across the x-axis, what changes?
a)
nothing
b)
y-value
c)
x-value
36.
True or false: A reflection makes a congruent figure. 
a)
true
b)
false
37.
Identify the transformation from C to D.
a)
90o Counter Clockwise Rotation
b)
180o Rotation
c)
270o Counter clockwise Rotation
d)
360o Rotation
38.
If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
39.

Which pair have a line of reflection of x-axis?

a)

A & E

b)

B & C

c)

G & H

d)

E & F

40.

What is the equation of a circle with a radius of 5 and a center located at (10,-4)?

a)

(x-10)^2 + (y+4)^2 = 25

b)

(x+10)^2 + (y-4)^2 = 25

c)

(x-10)^2 + (y-4)^2 = 25

d)

(x+4)^2 + (y+10)^2 = 25

41.

Fill in the blank: The equation of a circle with a radius of 5 and a center located at (10,-4) is (x-10)^2 + (y-4)^2 = ____.

a)

A) 5

b)

B) 10

c)

C) 25

d)

D) 50

42.

Fill in the blank: The center of the circle with diameter endpoints A(-3,4) and B(6,4) is at ___.

a)

(1.5, 4)

b)

(0, 4)

c)

(1.5, 0)

d)

(0, 0)

43.

The radius of the circle given by the equation x^2 + (y - 6)^2 = 64 is ____.

a)

A) 8

b)

B) 6

c)

C) 4

d)

D) 10

44.

What is the weighted average in decimal form of A and B, if the weight of B is four times the weight of A? A is at -6 and B is at 4.

a)

-2

b)

0

c)

2

d)

4

45.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
46.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
47.

What is the approximate perimeter of the triangle

a)

20 units

b)

25 units

c)

29 units

d)

36 units

48.
What is the area of the shaded region?
a)
4 cm2
b)
16 cm2
c)
8 cm2
d)
12 cm2
49.

Write the area of the circle rounded to the nearest tenth only as a number.

a)

380.1 squared cm

b)

69.1 squared cm

c)

1520.5 squared cm

d)

121.0 sqaured cm

50.
What shape will the horizontal cross-section of a cone be?
a)
Dome
b)
Circle
c)
Pyramid
d)
Triangle
51.
What shape will the vertical cross -section of a cylinder be?
a)
Circle
b)
Triangle
c)
Rectangle
d)
Ellipse