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Semester 1 Exam Review

Total questions: 72

Worksheet time: 3hrs 43mins

Name
Class
Date
1.

In the figure, mRPZ=95°m\angle RPZ=95\degree  and TURQVW\overline{TU}\parallel\overline{RQ}\parallel\overline{VW}  . What is the measure of WSP\angle WSP  ?

a)

95°95\degree  

b)

85°85\degree  

c)

75°75\degree  

d)

65°65\degree  

2.

In the figure, ABCD\overline{AB}\parallel\overline{CD}  . What are the values of x and y?

a)

x=112°, y=68°x=112\degree,\ y=68\degree  

b)

x=68, y=100x=68,\ y=100  

c)

x=68°, y=126°x=68\degree,\ y=126\degree  

d)

x=22, y=124x=22,\ y=124  

3.

What is the slope of the line, which passes through the origin and (-2,3)?

a)

32\frac{3}{2}  

b)

23\frac{2}{3}  

c)

23-\frac{2}{3}  

d)

32-\frac{3}{2}  

4.

Based on the information given, which could prove ΔABCΔDEC\Delta ABC\cong\Delta DEC  ?

a)

AAS

b)

ASA

c)

SAS

d)

SSS

5.

ΔTRPΔQSP. If mT=37°, mR= 74°  and mP= 3x+5.\Delta TRP\cong\Delta QSP.\ If\ m\angle T=37\degree,\ m\angle R=\ 74\degree\ \ and\ m\angle P=\ 3x+5. Find mSm\angle S  

a)

79°79\degree  

b)

17°17\degree  

c)

101°101\degree  

d)

74°74\degree  

6.

What value of x would prove the triangles similar?

a)

42

b)

12

c)

8.3

d)

18

7.
a)

A

b)

B

c)

C

d)

D

8.
Name the angle pair. 
a)
Complementary
b)
Supplementary
c)
Adjacent
d)
Vertical
9.
Name the angle pair. 
a)
Complementary
b)
Supplementary
c)
Linear Pair
d)
Vertical
10.
Find the value of x
a)
16
b)
8
c)
32.8
d)
39.2
11.

What kind of angles are these? (Choose all that apply)

a)

complementary

b)

supplementary

c)

right

d)

linear pair

12.
Solve for x.
a)
10.5
b)
11.5
c)
34
d)
34.5
13.
If ∠H and ∠J are complementary, and the measure of ∠H is 35°, what is the measure of ∠J?
a)
145
b)
55
c)
60
d)
65
14.
∠1 and ∠3 can best be described as - (opposite angles formed by intersecting lines.)
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
15.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
16.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
17.
Part of a line. Has two endpoints and includes all of the points in between.
a)
Point
b)
Angle
c)
Line
d)
Line Segment
18.
Part of a line. Has one endpoint and continues on forever in one direction.
a)
Line Segment
b)
Line
c)
Ray
d)
Point
19.
Give another name for line k.
a)
Line BC
b)
Line BCE
c)
Line ED
d)
Line k is the only name, there isn't another name.
20.
Find the measure of PQ
a)
PQ=4
b)
PQ=2
c)
PQ=8
d)
PQ=16
21.
Find the value of ∠A.
a)
25 degrees
b)
30  degrees
c)
35 degrees
d)
90 degrees
22.
A single angle that measures between 0 and 90 degrees.
a)
Obtuse Angle
b)
Acute Angle
c)
Right Angle
d)
Adjacent Angles
23.
The pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
24.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
25.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
26.
Angle C and P are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
27.

Slopes of parallel lines are...

a)

opposite reciprocals

b)

opposites

c)

identical

d)

reciprocals

28.

Slopes of perpendicular lines are...

a)

opposite reciprocals

b)

opposites

c)

identical

d)

reciprocals

29.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
30.

What slope is parallel to:

m = 4

a)

4

b)

-1/4

c)

-4

d)

1/4

31.
State the postulate that proves these triangles are similar.
a)
SSS
b)
SAS
c)
AA
d)
Not similar
32.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
33.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
34.
Are the triangles similar?
a)
Yes
b)
No
35.
a)
72
b)
67
c)
65
d)
54
36.

What is the measure of BC?

a)

12

b)

6

c)

not enough information

d)

10

37.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
38.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
39.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
40.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
41.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
42.
a)
A
b)
B
c)
C
d)
D
43.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
44.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
45.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
73.5
d)
68.6
46.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
3
d)
4
47.
Find side length X.
a)
22.5
b)
10
c)
9
d)
7.5
48.
How many lines of Symmetry does this hexagon have?
a)
3
b)
6
c)
9
d)
12
49.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
4
d)
6
50.

How many lines of symmetry are there on an equilateral triangle?

a)

0

b)

1

c)

2

d)

3

51.
Identify the smallest angle of rotation that maps the image to itself.
a)
72°
b)
180°
c)
144°
d)
45°
52.

Which number of degrees below describes an angle that can rotate this regular polygon back onto itself?

a)

280

b)

300

c)

315

d)

120

53.

Which number of degrees below describes an angle that can rotate this regular polygon back onto itself?

a)

280

b)

90

c)

45

d)

120

54.
Identify the smallest angle of rotation that maps the image to itself.
a)
90°
b)
180°
c)
45°
d)
60°
55.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
56.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
57.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
58.

Describe the Transformation

a)

reflection and translation

b)

rotation and translation

c)

reflection and rotation

59.
Which set of directions describes the translation from ABCD to A'B'C'D'?
a)
Down 6, left 3
b)
Down 3, right 6
c)
Up 3, left 6
d)
Up 6, right 3
60.
What symbol is used to show that two things are congruent?
a)
b)
c)
d)
=
61.

Describe the translation.

a)

Translate 3 up and 4 right

b)

Translate 3 down and 4 left

c)

Translate down 2

d)

Translate 1 up and 3 left

62.

Describe the rotation.

a)

Rotate 90 degrees clockwise about the origin

b)

Rotate 90 degrees counter clockwise about the origin

c)

Rotate 180 degrees about the origin

d)

Rotate 180 degrees

63.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
64.
Triangle ABC will be dilated by a scale factor of 1/2.  What will be the coordinates of C'?
a)
(-1, -2.5)
b)
(12, 6)
c)
(3, -1.5)
d)
(0, 1.5)
65.
Enlargement or reduction?  Find the scale factor!
a)
It's a reduction; the scale factor is 2.
b)
It's an enlargement; the scale factor is 2.
c)
It's an enlargement; the scale factor is 1/2.
d)
It's a reduction; the scale factor is 1/2.
66.
Enlargement or reduction?  Find the scale factor!
a)
It's an enlargement; the scale factor is 1/2.
b)
It's an enlargement; the scale factor is 2.
c)
It's a reduction; the scale factor is 1/2.
d)
It's a reduction; the scale factor is 2.
67.

Trapezoid A’B’C’D’ is the dilation of trapezoid ABCD.


Which algebraic representation shows this dilation?

a)

(x, y) --> (2x, 2y)

b)

(x, y) --> (0.5x, 0.5y)

c)

(2x, 2y) --> (x, y)

d)

(x, y) --> (3x, 2y)

68.

What is the formula for scale factor?

a)

newold\frac{new}{old}

b)

oldnew\frac{old}{new}

69.

ABC ~ XYZ. What is the scale factor of the dilation of ABC to XYZ?

a)

23\frac{2}{3}

b)

32\frac{3}{2}

c)

2

d)

3

70.

Find the area of the composite figure

a)

3

b)

51.5

c)

32

d)

44

71.
What is the area of this shape?
a)
108 cm2
b)
60 cm2
c)
432 cm2
d)
216 cm2
72.
What is the area of the shaded region?
a)
4 cm2
b)
16 cm2
c)
8 cm2
d)
12 cm2