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Geometry - Chapter 1 Review

Total questions: 52

Worksheet time: 2hrs 35mins

Name
Class
Date
1.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
2.
When quadrilateral PRST is translated to create quadrilateral P'R'S'T', which statement is true?
a)
The side lengths of quadrilateral P'R'S'T' are twice the side lengths of quadrilateral PRST
b)
The angle measures of quadrilateral P'R'S'T' are equal to the corresponding angle measures of quadrilateral PRST
c)
The side lengths of quadrilateral P'R'S'T' are 9 units longer than side lengths of quadrilateral PRST
d)
The angle measures of quadrilateral P'R'S'T' are greater than the angle measures of quadrilateral PRST
3.

When you translate, (x, y+6) will move _____.

a)

6 units right

b)

6 units left

c)

6 units up

d)

6 units down

4.

When you translate, (x-4, y) will move _____.

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

5.

Parallelogram PQRS is rotated 90ᴼ clockwise about the origin to create parallelogram P’Q’R’S’. Which rule describes this transformation?

a)

(x,y) ⊣> (x,-y)

b)

(x,y) ⊣> (-x,y)

c)

(x,y) ⊣> (y,x)

d)

(x,y) ⊣> (y,-x)

6.

Triangle XYZ has vertices x(2,3), Y(5,6), and Z(8,6). What rule can be used to find the new coordinates of point X, if the triangle is translated 6 units down and 4 units to the right?

a)

(x,y)⊣(x-4, y+6)

b)

(x,y)⊣(x-6, y+4)

c)

(x,y)⊣(x+6, y-4)

d)

(x,y)⊣(x+4, y-6)

7.

Point P is graphed at (4,5). Point P is rotated 90 degrees counterclockwise to form Point P'.


What are the coordinates of P'?

a)

(-5, 4)

b)

(-4, 5)

c)

(5, -4)

d)

(-4, -5)

8.
If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?
a)
(4,0)
b)
(0,4)
c)
(-1,5)
d)
(5,-1)
9.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right 
d)
straight
10.

Means: same size, same shape

a)

Equal

b)

Congruent

11.

An angle that measures 90o

a)

Acute angle

b)

Obtuse angle

c)

Parallel

d)

Right Angle

12.

Match the vocabulary word with its definition:

Congruent angles

a)

two angles whose measures have a sum of 90 degrees

b)

a pair of adjacent angles whose noncommon sides are opposite rays

c)

two angles whose measures have a sum of 360 degrees

d)

angles that have the same measure

13.

Solve for x

a)

x = 56°

b)

x = 66°

c)

x = 156°

d)

x = 166°

14.

An angle with a measurement greater than 90o but less than 180o

a)

Right Angle

b)

Obtuse Angle

c)

Acute Angle

d)

Angle

15.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
16.

If angle MEO = 90, angle GEM = 4x-8 and angle GEO = 148, what is x?

a)

x = 24

b)

x = 16

c)

x = 15

d)

x = 19

17.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
18.

If angle AOD is 124 - 2x and angle DOB= 9x, what is the measure of angle DOB?

a)

72

b)

8

c)

108

d)

63

19.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
20.
Find the perimeter of ABC. 
a)
13.2 units
b)
12.4 units
c)
8 units
d)
15.3 units
21.
Find the area of ABC. 
a)
9 square units
b)
6 square units
c)
15 square units
d)
6.5 square units
22.
What is a reflection?
a)
When you turn an object around a point.
b)
When you slide an object form one place to another.
c)
When you flip or mirror an object across a line.
d)
When you resize an object.
23.

Define reflection symmetry.

a)

one half of the shape is a reflection of the other half

b)

the shape still looks the same after being rotated less than 360 degrees

c)

a polygon with four sides

24.
A line of symmetry is....? 
a)
 A line that is drawn through a shape so that both sides of the line look the same
b)
A line that goes all the way around the edge of a shape
c)
A line that divides a shape into quarters
25.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
3
d)
4
26.
How many lines of symmetry does this shape have?
a)
0
b)
1
c)
2
d)
4
27.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
4
d)
6
28.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
4
d)
8
29.

What is rotational symmetry?

a)

the shape still looks the same after being rotated less than 360 degrees

b)

a triangle with 2 equal sides

c)

shape can be translated so the end result is exactly the same

30.

True or false?


All shapes have rotation symmetry of 360 degrees.

a)

true

b)

false

31.

Does a square have rotational symmetry at 90 degrees?

a)

yes

b)

no

c)

sometimes

d)

maybe

32.
What are the angles of rotation for a rectangle?
a)
multiples of 45
b)
multiples of 90
c)
multiples of 180
d)
360
33.
Identify the smallest angle of rotation that maps the image to itself.
a)
60°
b)
None
c)
51.4°
d)
45°
34.
Is it possible for a cross section of a cylinder to have a triangular shape?
a)
yes
b)
no
c)
sometimes
35.
What shape will the horizontal cross-section of a sphere be?
a)
Dome
b)
Circle
c)
Ellipse
d)
Rectangle
36.
Describe the cross section.
a)
rectangle
b)
square
c)
parallelogram
d)
circle
37.
Describe the cross section.
a)
rectangle
b)
trapezoid
c)
oval
d)
parallelogram
38.
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
39.
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
40.

Write a rule for the translation from blue to red.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

41.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
42.

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

a)

A

b)

B

c)

C

d)

D

43.
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
44.
What sequence of transformations will get you from shape A to shape A' in two steps?
a)
Rotation, then Dilation
b)
Rotation, then Translation
c)
Reflection, then Dilation
d)
Translation, then Reflection
45.

After a transformation, your new vertices should have what symbol on them?

a)

$

b)

#

c)

'

d)

&

46.
What sequence of transformations will get you from shape 1 to shape 3 in two steps?
a)
Reflection, then Translation
b)
Translation, then Rotation
c)
Reflection, then Rotation
d)
Rotation, then Translation
47.

Lines that never intersect and are the same distance apart...

a)

Pretty Lines

b)

Perpendicular Lines

c)

Parallel Lines

d)

Congruent

48.

What are lines that intersect and form right angles (90o) called?

a)

Parallel

b)

Perpendicular Lines

c)

Congruent

d)

Line Segment

49.
What is the equation of a line parallel to the following line that passes through the given point? 
y = -4x + 6      (2, -1)
a)
y = 1/4x + 6
b)
y = -4x + 7
c)
y = -4x + 2
d)
y = 1/4x -1 
50.
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
51.
Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2
a)
Parallel
b)
Perpendicular
c)
Neither
52.
Use the equations given to determine if the following lines are parallel, perpendicular, neither or both.
y=4x-2
y-3=-1/4(x-8)
a)
parallel
b)
perpendicular
c)
neither parallel nor perpendicular
d)
both parallel and perpendicular

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