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Quiz 2.1-2.4 Review

Total questions: 46

Worksheet time: 1hrs 28mins

Name
Class
Date
1.
Tell whether the two figures are congruent.
a)
Yes, same size and same shape
b)
No, same shape but different sizes
c)
No, different size and different shapes
2.

The figures are congruent. Name one pair of corresponding angles.

a)

Q and W

b)

R and Z

c)

S and Z

d)

T and P

3.

 JK  ?\overline{JK}\ \cong\ ?  

a)

 KX\overline{KX}  

b)

 JK\overline{JK}  

c)

 XJ\overline{XJ}  

d)

 KI\overline{KI}  

4.

 CB  ?\overline{CB}\ \cong\ ?  

a)

 I\angle I  

b)

 GI\overline{GI}  

c)

 IB\overline{IB}  

d)

 BG\overline{BG}  

5.

 ML  ?\overline{ML}\ \cong\ ?  

a)

 CL\overline{CL}  

b)

 LD\overline{LD}  

c)

 DC\overline{DC}  

d)

 NL\overline{NL}  

6.

 EJF  ?\angle EJF\ \cong\ ?  

a)

 L\angle L  

b)

 E\angle E  

c)

 LJK\angle LJK  

d)

 F\angle F  

7.

Write a congruence statement for the triangles.

a)

ΔTUVΔLJV\Delta TUV\cong\Delta LJV

b)

ΔTUVΔJVL\Delta TUV\cong\Delta JVL

c)

ΔUTVΔLVJ\Delta UTV\cong\Delta LVJ

d)

ΔUTVΔJVL\Delta UTV\cong\Delta JVL

8.

Translate the blue shape to the pink shape...

a)

5 Right

2 Down

b)

5 Left

2 Up

c)

3 Right

1 Down

d)

3 Left

1 Up

9.

Translate the blue shape to the green shape...

a)

3 Left

3 Down

b)

3 Right

3 Up

c)

2 Right

3 Up

d)

2 Left

3 Down

10.
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)
11.
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)
12.
How was B translated to B' if B' is at (4, -2)?
a)
Translated 6 units down
b)
Translated 2 units to the left and 6 units down
c)
Translated 2 units to the right and 6 units down
d)
Translated 2 units to the right
13.
What does a translation do to an image?
a)
Turns it 90* clockwise
b)
Mirrors it
c)
Shrinks it
d)
Slides it
14.
How do you represent a translation Algebraically? 
a)
(-y, -x)
b)
(x + a, y + b)
c)
(-x , -y)
d)
(ax, by)
15.
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)
16.
The result of a transformation.
a)
Pre-image
b)
Image
17.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
18.
What transformation is happening?
(x, y) ----> (x + 2, y - 3) 
a)
slide up 2, left 3
b)
slide right 2, up 3
c)
slide right 2, down 3
d)
slide left 3, right 2
19.
What does this transformation say to do?
(x, y) -----> (x, y +4) 
a)
slide down 4
b)
slide up 4
c)
slide right 4
d)
slide left 4
20.
Point M (-3, 5) is translated using this rule. 
(x, y) ----> (x - 1, y) 
What are the coordinates of M'?
a)
(-4, 5)
b)
(-2, 5)
c)
(-4, 4)
d)
None of these
21.
State the line of reflection.
a)
Reflection across y-axis
b)
Reflection across x-axis
c)
Reflection across x = 1
d)
Reflection across y = 1
22.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
23.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
24.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
25.
Where will A' be at, if triangle ABC is reflected by
(x,y) --> (-x,y)?
a)
(2,1)
b)
(1,-2)
c)
(-1,2)
26.
Reflections over the x-axis change the ____-__________. 
a)
y-coordinate
b)
x-coordinate
27.
What is the Algebraic Notation for this Reflection?
a)
(x, y) → (y, x)
b)
(x, y) → (-x, y)
c)
(x, y) → (-y, -x)
d)
(x, y) → (x, -y)
28.
Relfect the image over the y-axis.  Which quadrants will the image be located in?
a)
Quadrant I and II
b)
Quadrant II and III
c)
Quadrant III and IV
d)
Quadrant I and IV
29.

How do you represent reflection over the x axis Algebraically?

a)

(-y, -x)

b)

(x + a, y + b)

c)

(x , -y)

d)

(ax, by)

30.
You want to reflect a figure over the horizontal line shown. 
What directions would you give? 
Reflect over the line: ________
a)
x = -4
b)
y = -4
c)
x - y = 4
d)
None of these
31.

What is the mirror line for this reflection?

a)

y=4

b)

x=-3

c)

y=x

d)

y= -x

32.
Describe the translation of Point A (3, -8) to A'(-4, -5).
a)
(x-4, y-5)
b)
(x+7, y-3)
c)
(x-7, y+3)
d)
(x-3, y+7)
33.

Reflect point A (-2,-3) over the line y=x. What is the coordinate of A'?

a)

(2,3)

b)

(-2,3)

c)

(-3,-2)

d)

(3,-2)

34.

Reflect point A (3,5) over the line y = - x. What is the coordinate of A'?

a)

(-3,-5)

b)

(5,3)

c)

(3,5)

d)

(-5,-3)

35.

Reflect point A (-2,4) over the line x = 1. What is the coordinate of A'?

a)

(-4,-4)

b)

(4,4)

c)

(-2,-2)

d)

(2,2)

36.
If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, 5)
c)
(-5, 3)
d)
(-3, 3)
37.
Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.
a)
(-4,-3)
b)
(-4,3)
c)
(4,-3)
d)
(3,4)
38.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
39.

A figure is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 180° clockwise?

a)

(x,y)→(x,y)

b)

(x,y)→(-y,x)

c)

(x,y)→(y, -x)

d)

(x,y)→(-x,-y)

40.

Rotate the point (-4,9) around the origin 270 degrees counterclockwise. State the image of the point.

a)

(9 , 4)

b)

(-9, 4)

c)

(9, -4)

d)

(-4, -9)

41.

How many turns on a coordinate plane is 360 degrees?

a)

1 turn

b)

2 turns

c)

3 turns

d)

4 turns

42.

You have a rotation of 270° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 270° counterclockwise?

a)

(x,y)→(-x,-y)

b)

(x,y)→(y, -x)

c)

(x,y)→(-y,x)

d)

(x,y)→(x,y)

43.

What is the point that turns the image?

a)

Vertex

b)

Point of Rotation

c)

Rotation

d)

Image

44.

Let A ( -2, 1), B (2, 4) and C (4, 2) be the three vertices of a triangle. If this triangle is rotated about 90° clockwise, what will be the new vertices A' , B' and C' ?

a)

A'(1,-2) B'(2, -4) C'(-2,4)

b)

A'(-1,-2) B'(-4,-2) C'(-2,-4)

c)

A'(2,1) B'(-2,4) C'(-4,2)

d)

A'(1, 2), B(4, -2) and C'(2, -4)

45.

The points for a right triangle are A(4,2), B(7,2), C(4,4). The triangle is rotated 90 degrees clockwise about vertex A. Give the coordinates of triangle A'B'C'

a)

A'(4,2), B'(6,2), C'(4,-1)

b)

A'(4,2), B'(4,6), C'(2,2)

c)

A'(4,2), B'(4,-1), C'(6,2)

d)

A'(2,-4), B'(2,-7), C'(4,-4)

46.

The point of a triangle are at A(3,2), B(6,4), C(9,2). Give the coordinates of the final image after the following series of transformations.

1) Translate: left 3, down 2

2) Reflect: y axis

3) Rotate: counter-clockwise 90 degrees

a)

A' (0,0), B' (2,3) C' (0,-6)

b)

A' (-2,-3), B' (0,0), C' (0, -6)

c)

A' (0,-6), B' (-2,-3), C' (0,0)

d)

A' (0,0), B' (-2, -3), C' (0-6)