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Geometry SMT review

Total questions: 92

Worksheet time: 3hrs 42mins

Name
Class
Date
1.
What type of triangle is this?
a)
Equilateral
b)
Isosceles
c)
Scalene
2.
Solve for x.
a)
16
b)
11
c)
50
d)
6
3.

Work out the value of the missing angle marked a...

a)

72o

b)

144o

c)

36o

d)

134o

4.

An example that shows a statement is false:

a)

hypothesis

b)

conclusion

c)

counterexample

5.

What does contradict mean?

a)

You have reached a contradiction when you have two statements that cannot both be true at the same time.

b)

I do not know...

6.

Which TWO statements below contradict each other.

a)

a ∥ b

b)

b ⊥ a

c)

a ∥ c

7.

Directed line segment AB is partitioned by point P into a ratio of 1:3. Which of the following represent this relationship?

a)
b)
c)
d)
8.

Directed line segment AB is partitioned by point P into a ratio of 1:4. Which of the following represent this relationship?

a)
b)
c)
d)
9.

6) The ratio is 3:1. How many parts are there?

a)

2

b)

3

c)

4

d)

5

10.
Find the point P that partitions the line segment AB given the ratio.
A (-5, 8) B(9, 3) with the ratio 2:5
a)
(12, 1.6)
b)
(-1, 7.6)
c)
(-1, 6.6)
d)
(13, 1.6)
11.
If a 42.9 ft tall statue casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall man casts?
a)
41.7 ft
b)
36.6 ft
c)
34.6 ft
d)
38.8 ft
12.
A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long.  How tall is the building?
a)
9 m
b)
15.2 m
c)
12 m
d)
17.5 m
13.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
14.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
15.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
16.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
17.
Triangle GHI is reflected across the x-axis.  What are the coordinates of I'?
a)
(-2, 6)
b)
(2, 6)
c)
(-6, -2)
d)
(6, 2)
18.
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)
19.
If you were to rotate ABCD 180° about the origin, what would the coordinates of B' be?
a)
(0, 0)
b)
(-6, -5)
c)
(-1, 3)
d)
(-6, 2)
20.
What is this picture an example of? 
a)
An angle
b)
A cat vertex 
c)
Rotation 
d)
Dilation
21.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
22.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
23.
What is the sequence of transformations?
a)
Reflect over the y then reflect over the x
b)
Reflect over the x then reflect over the y
c)
Translate 4 units then rotate 90˚
d)
Rotate 90˚ then reflect over the x
24.
How is the blue triangle rotated to the red triangle?
a)
90 clockwise
b)
90 counter-clockwise
c)
180 clockwise
25.
Which of the following describes a median of a triangle?
a)
A. A middle of the triangle.
b)
B. A segment with endpoints at the vertex and midpoint of the opposite side.
c)
C. A segment that connects two midpoints of two sides.
d)
D. A segment that connects the vertex and the opposite side at 90 degrees. 
26.
The altitude is __________to the side of a triangle.
a)
parallel
b)
skew
c)
off
d)
perpendicular
27.

Name the segment/line/ray shown in the picture.

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

28.

The figures above are examples of ...

a)

altitudes

b)

perpendicular bisectors

c)

medians

d)

angle bisectors

29.
Identify the special segment that's pictured: 
a)
Altitude
b)
Midsegment
c)
Median
d)
Angle Bisector
30.
Find side length X.
a)
30
b)
25
c)
15
d)
40
31.
Mrs. Ashley used similar triangles to make a design.  Which statement about the triangles in the design must be true?
a)
They are the same size and shape.
b)
They are the same size but different shapes.
c)
They have corresponding angles that are congruent.
d)
They have corresponding sides that are congruent.
32.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
33.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
34.
Are the triangles similar?
a)
Yes
b)
No
35.
Are the triangles similar?
a)
Yes
b)
No
36.
Are the following similar? Why or why not?
a)
Yes. All pairs of corresponding angles are congruent.
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
37.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
38.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
39.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
40.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
41.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
42.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
43.
Complete each proportion.
CB / DM  =  AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
44.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
45.
a)
A
b)
B
c)
C
d)
D
46.
a)
A
b)
B
c)
C
d)
D
47.
a)
A
b)
B
c)
C
d)
D
48.
a)
A
b)
B
c)
C
d)
D
49.
a)
A
b)
B
c)
C
d)
D
50.
a)
A
b)
B
c)
C
d)
D
51.
a)
A
b)
B
c)
C
d)
D
52.
a)
A
b)
B
c)
C
d)
D
53.
a)
A
b)
B
c)
C
d)
D
54.
a)
A
b)
B
c)
C
d)
D
55.
What type of angles are they?
a)
VERTICAL
b)
ALTERNATE INTERIOR
c)
ALTERNATE EXTERIOR
d)
CORRESPONDING
56.
WHAT IS THE VALUE OF X?
a)
16
b)
11.4
c)
0 
d)
-16
57.
WHAT TYPE OF ANGLES ARE THEY?
a)
ALTERNATE INTERIOR
b)
SAME SIDE
c)
CONSECUTIVE
d)
CORRESPONDING
58.
WHAT TYPE OF ANGLES ARE THEY
a)
ALTERNATIVE
b)
CONSERVATIVE
c)
CONSECUTIVE (SAME SIDE)
d)
CORRESPONDING
59.

WHICH IS THE CORRECT EQUATION TO SOLVE FOR X?

a)

16X+180 = 90

b)

12X - 29 = 4X +1

c)

12X - 29 + 4X +1=90

d)

12X - 29 + 4X +1=180

60.
WHAT TYPE OF ANGLES ARE THESE?
a)
CONSERVATIVE
b)
ALTERNATE INTERIOR
c)
ALTERNATE EXTERIOR
d)
SAME SIDE
61.
WHAT TYPE OF ANGLES ARE THESE?
a)
CONSECUTIVE
b)
CORRESPONDING
c)
CORRECTIVE
d)
SAME SIDE
62.
WHAT IS THE CORRECT EQUATION TO FIND THE VALUE OF X?
a)
X=12
b)
8X - 17 + 5X +19 = 180
c)
8X - 17 = 5X +19
d)
X= -12
63.

Classify angles 6 and 8

a)

corresponding angles

b)

alternate exterior algles

c)

vertical angles

d)

alternate interior angles

e)

supplementary angles

64.

Classify angles 1 and 2

a)

corresponding angles

b)

alternate exterior algles

c)

vertical angles

d)

alternate interior angles

e)

supplementary angles

65.
Does the image show a Dilation?
a)
Yes
b)
No
66.
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)
67.
Definition: The figure after a transformation has occurred. 
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
68.
Definition: The figure before a transformation has occurred. 
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
69.
(x, y) -> (2x, 2y) 
What is the coefficient 2 mean?
a)
plot 2 to the right and 2 up
b)
scale factor is 2 creating a new figure half the size
c)
scale factor is 2 making a figure twice the 
original
d)
I don't understand this question : ( 
70.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
71.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
72.
AB
a)
is a ray.
b)
is a line segment.
c)
is an arrow.
d)
is a polygon.
73.
What is this?
a)
Compass
b)
Circle creator
c)
Pencil swingy-thing
d)
Arc maker
74.

By using a compass, D and G were marked equidistant from Vertex E. The compass was then used to locate point F, distant from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of DEF and GEF

a)

are equal

b)

are NOT equal

c)

sum to 45°

d)

sum to 30°

75.
What does the word BISECT mean?
a)
To cut something into more than five pieces.
b)
It is a plane with two sets of wings.
c)
A shape that has three sides. 
d)
To cut something into two congruent pieces or in half.
76.

What is this?

a)

ruler

b)

compass

c)

protractor

d)

straightedge

77.
The picture represents a compass and straightedge construction of _________?
a)
Copy an angle
b)
Bisect an angle
c)
Copy a line segment
d)
Bisect a line segment
78.

Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?

a)

Eric should have started by putting the compass needle point at the midpoint of the segment AB.

b)

On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.

c)

Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.

d)

Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.

79.

Which image shows the construction of a perpendicular bisector?

a)
b)
c)
d)
80.

Which image shows the construction of congruent segments?

a)
b)
c)
d)
81.

Which of these illustrates the construction of a perpendicular line through a given point

a)
b)
c)
d)
82.

Which construction illustrates “copy an angle”?

a)
b)
c)
d)
83.
Name the construction.
a)
Corresponding angles
b)
Parallel line to a point not on the line
c)
Perpendicular line to a point not on the line
d)
Angle bisector
84.
Parallel lines have __________ slopes
a)
Equal
b)
Opposite
c)
Reciprocal 
d)
Total
85.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
86.
The following represents slopes of two lines.  Which answer choice describes the two lines?
m = 7 and m = -7
a)
Parallel
b)
Perpendicular
c)
Neither
87.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
88.
What is the slope of a line perpendicular to a line with slope -6/5 ?
a)
-6/5
b)
-5/6
c)
5/6
d)
-4/3
89.

Line 1: (−1, 2), (2, 3)\left(-1,\ 2\right),\ \left(2,\ 3\right)  
Line 2:  (0, 0), (3, 1)\left(0,\ 0\right),\ \left(3,\ 1\right)  
These two lines are ______________________

a)

Parallel

b)

Perendicular

c)

Neither

90.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
91.
What direction is an undefined slope?
a)
horizontal
b)
vertical
92.
What is the equation of a line that is perpendicular to this line and goes through the given point?
y = 3x + 2      (3, -4)
a)
y = 3x - 2
b)
y = -1/3x - 5
c)
y = 3x - 4
d)
y = -1/3x - 3

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