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Math 2 Unit 1 Review

Total questions: 48

Worksheet time: 19mins

Name
Class
Date
1.
Reflect the point (-1, 2) over the y-axis.
a)
(-1, -2)
b)
(1, 2)
c)
(1, -2)
d)
(1, 4)
2.
Translate the point A (-3, 4) right 5 and up 1
a)
(-2, 9)
b)
(-8, 5)
c)
(8, 3)
d)
(2, 5)
3.
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)
4.

The NEW figure created from a transformation is called the...

a)

Translation

b)

Preimage

c)

Image

d)

Angle

5.

Reflect the point (-3, 5) over the x-axis.

a)

(-3, -5)

b)

(3, 5)

c)

(3, -5)

d)

(-3, 5)

6.

The ORIGINAL figure in a transformation is the ...

a)

Congruent

b)

Preimage

c)

Image

d)

Angle

7.
Congruent geometric figures have the:
a)

Same size only

b)

Equal sides only

c)
Same Size and Same Shape
d)

Equal angles only

8.

Translate the point B (0, -7) left 2 and down 3

a)

(-2, -4)

b)

(-2, -10)

c)

(2, -4)

d)

(2, -10)

9.
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)
10.

Two triangles are shown on the coordinate grid. Which sequence of transformation shows that ΔABC is congruent to ΔDEF ?

a)

Reflect △ABC across the x-axis, then translate it down 2

b)

Reflect △ABC across the y-axis, then translate it down 2

c)

Reflect △ABC across the x-axis, then translate it up 2

d)

Reflect △ABC across the y-axis, then translate it up 2

11.

Two trapezoids are shown on the coordinate grid. Which sequence of transformations shows that the two trapezoids are congruent?

a)

Translate Trapezoid 1 down 2 units, then reflect the resulting figure across the y-axis.

b)

Translate Trapezoid 1 to the right 2 units, then translate the resulting down 2 units.

c)

Translate Trapezoid 1 to the right 2 units, then reflect the resulting figure across the x-axis.

d)

Reflect Trapezoid 1 across the x-axis, then reflect the resulting figure across the y-axis.

12.

Is the reflection shown a reflection over the x-axis or y-axis?

a)

X axis

b)

y axis

13.

When translating an object, which direction would you apply to the "y" coordinate?

a)

left or right

b)

up or down

14.

What color is the pre-image?

a)

blue

b)

purple

15.

Which picture is an example of a translation?

a)
b)
c)
d)
16.
Which rule would result in a translation of 2 units left and 3 units up?
a)
(x, y) → (2x, 3y)
b)
(x, y) → (x - 2, y + 3)
c)
(x, y) → (-x, -y)
d)
(x, y) → (x + 2, y - 3)
17.
A transformation that “turns” a figure about the origin and a given direction, 90 degrees clockwise
a)
(-x, -y)
b)
(y, -x)
c)
 (-y, x)
d)
(x, -y)
18.
G(-4,1),.....After a translation of 3 units down and 5 units right
a)
G’(-1,6)
b)
G’(1, -2)
19.
Triangle ABC has vertices A(5,2).  Find the coordinates of ABC after a reflection over the x-axis.
a)
A’ (5, -2)
b)
A’(-5, 2)
c)
A’(-5, -2)
d)
A' (5, 2)
20.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o  clockwise Rotation
d)
360o Rotation
21.
Identify the transformation from A to B.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o  clockwise Rotation
d)
360o Rotation
22.
Identify the transformation from B to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o clockwise Rotation
d)
360o Rotation
23.
Identify the transformation from ABCD to A'B'C'D'.
a)
90o rotation
b)
Translation
c)
Reflection across the x-axis
d)
Reflection across the y-axis
24.
Identify the transformation from ABC to A'B'C'.
a)
Reflection across the x-axis
b)
Reflection across the y-axis
c)
90o clockwise rotation
d)
90o counterclockwise rotation
25.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the y-axis
c)
Reflection across the x-axis
d)
90o counter clockwise Rotation
26.
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)
27.
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
28.
Find K'.
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
29.
Find E'.
a)
(-1, -5)
b)
(-2, -2)
c)
(0, -4)
d)
(-4, 0)
30.
Reflect the figure across the y-axis. What are the coordinates of A'?
a)
(-2, -4)
b)
(2, 4)
c)
(-2, 4)
d)
(2, -4)
31.

Rotation Rules (clockwise):

90o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90⁰ rotation clockwise?

a)

(1, 3)

b)

(3, 1)

c)

(3, -1)

d)

(1, -3)

32.
Dilate Point B by a scale factor of 1/2
a)
(1.5,-4)
b)
(-1.5,1)
c)
(-1,-1.5)
d)
(-2,-2)
33.

A dilation is

a)

Has a central point that stays fixed and everything else moves around that point

b)

a transformation that changes the size of a figure

c)

a transformation in which the preimage is flipped across a line

d)

a function that moves an object a certain distance. The object is not altered in any other way.

34.

A rotation

a)

Has a central point that stays fixed and everything else moves around that point

b)

a transformation that changes the size of a figure

c)

a transformation in which the preimage is flipped across a line

d)

a function that moves an object a certain distance. The object is not altered in any other way.

35.

A reflection

a)

Has a central point that stays fixed and everything else moves around that point

b)

a transformation that changes the size of a figure

c)

a transformation in which the preimage is flipped across a line

d)

a function that moves an object a certain distance. The object is not altered in any other way.

36.

A translation

a)

Has a central point that stays fixed and everything else moves around that point

b)

a transformation that changes the size of a figure

c)

a transformation in which the preimage is flipped across a line

d)

a function that moves an object a certain distance. The object is not altered in any other way.

37.

Which shows point (3, 6) rotated COUNTER-CLOCKWISE by 90 degrees?

a)

(6, -3)

b)

(-6, 3)

c)

(-3, -6)

d)

(3, 6)

38.

Which rule applies to a dilation by a scale factor of 4

a)

(x, y) ----> (x + 4, y + 4)

b)

(x, y) ----> (4x, 4y)

c)

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

d)

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

39.

Which transformation is the only transformation that does NOT preserve size?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

40.

How many lines of symmetry does this shape have?

a)

0

b)

2

c)

1

d)

4

41.

Which of the following shapes does not have a line of symmetry?

a)
b)
c)
d)
42.

What is the domain?

a)

[-2, 3]

b)

[-2, 3)

c)

(-2, 3]

d)

[-3, 4]

e)

(-3, 4]

43.

What is the domain?

a)

(−∞, −3]\left(-\infty,\ -3\right]

b)

[3, −∞)\left[3,\ -\infty\right)

c)

(−∞,3]\left(-\infty,3\right]

d)

(−∞,∞)\left(-\infty,\infty\right)

e)

None of the answer choices

44.

What is the range?

a)

[-3, 4]

b)

(-3, 4)

c)

(-3, 4]

d)

(-2, 3]

e)

[4, -3]

45.

What is the range?

a)

(-3, 3)

b)

[-4, 5)

c)

[-4 , 5]

d)

(-3 , 3]

46.

What is the domain of the graph?

a)

[1,∞)

b)

(-∞,1]

c)

(-∞,∞)

d)

[-∞,∞]

47.

The DOMAIN is found by reading the ends of a graph from ___ to ___.

a)

From right to left

b)

From left to right

c)

From bottom to top

d)

From top to bottom

48.

RANGE is found by reading the ends of a graph from ___ to ___.

a)

From right to left

b)

From left to right

c)

From bottom to top

d)

From top to bottom

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