Free Printable Unit 1 Re-Loop

1.

With respect to x and y, how many units does the translation

T\left(x,\ y\right)\ =\ \left(x\ +\ 6,\ y+8\right)

move a point?

Check all that apply.

a)

left 6

b)

right 6

c)

up 8

d)

down 8

2.

A point is translated up 2 units and right 5 units. Write the function rule.

a)

(x + 5, y - 2)

b)

(x - 5, y + 2)

c)

(x - 5, y - 2)

d)

(x + 5, y + 2)

3.

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)

4.

Point X is at (-1, 4). Determine where X' would be if you translated the point 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

5.

What is the rule for the following reflection?

a)

Reflection across y = −1

b)

Reflection across y = 1

c)

Reflection across x = −1

d)

Reflection across x = 1

6.

Which point shows a reflection of point Y(-5, -7) over the line y = x?

a)

(-7, -5)

b)

(-5, -7)

c)

(5, 7)

d)

(7, 5)

7.

Triangle GHI is reflected across the y-axis. What are the coordinates of I'?

a)

(-2, 6)

b)

(2, 6)

c)

(-6, -2)

d)

(6, 2)

8.

Find K' if the figure is reflected across the x-axis

a)

(4, 1)

b)

(-1, -4)

c)

(1, -4)

d)

(1, 4)

9.

What geometric form do rotations move points along?

a)

Rays

b)

Parallel Lines

c)

Perpendicular Lines

d)

Circular Arcs

10.

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)

11.

What is the angle of rotation for this counterclockwise rotation about the origin?

a)

90°

b)

180°

c)

270°

d)

360°

12.

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)

13.

If an image is dilated by a scale factor below, the dilation is a...

k\ =\ \frac{10}{3}

a)

Reduction

b)

Enlargement

14.

What is the scale factor?

a)

k = 2

b)

k = 1/2

c)

k = 4

d)

k = 1/4

15.

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. What is the function notation for this rule?

a)

f(x, y) = (2x, y)

b)

f(x, y) = (10x, 6y)

c)

f(x, y) = (5x, 3y)

d)

f(x, y) = (1/2x, 1/2y)

16.

Which function was used to produce the image?

a)

f(x, y) = (1/7x, 1/7y)

b)

f(x, y) = (7x, 7y)

c)

f(x, y) = (4x, 4y)

d)

f(x, y) = (8x, 8y)

17.

For the figure below, state the angle of rotation and the number of lines of symmetry.

a)

angle of rotation: 45°; lines of symmetry: 8

b)

angle of rotation: 45°; lines of symmetry: 4

c)

angle of rotation: 72°; lines of symmetry: 4

d)

angle of rotation: 72°; lines of symmetry: 8

18.

For the figure below, state the angle of rotation and the number of lines of symmetry.

a)

0 lines of symmetry, 1800° angle of rotation

b)

1 line of symmetry, 360° angle of rotation

c)

2 lines of symmetry, 180° angle of rotation

d)

4 lines of symmetry, 90° angle of rotation

19.

If a regular polygon has 9 sides, what will the angle of rotation be?

a)

36°

b)

40°

c)

45°

d)

60°

20.

In order to move this regular nonagon (9 sides) from position E counterclockwise to position C, how many degrees must you rotate it?

a)

40 degrees

b)

80 degrees

c)

140 degrees

d)

280 degrees

21.

Two triangles are shown on the coordinate grid. Which sequence of transformations shows that

\Delta ABC\cong\Delta DEF

a)

Reflect △ABC across the x-axis, then translate it down 1

b)

Reflect △ABC across the x-axis, then translate it up 1

c)

Reflect △ABC across the y-axis, then translate it down 1

d)

Reflect △ABC across the y-axis, then translate it up 1

22.

If QR is rotated 270 degrees counterclockwise about the origin and then translated 2 units down and 3 units to the left, what are the endpoints of the resulting image?

a)

Q' (-2, -3) R'(-4, 0)

b)

Q' (-1, -4) R'(-3, -1)

c)

Q' (1, 1) R'(-2, 1)

d)

Q' (1, -1) R'(-1, 2)

23.

Construct the composite function for a transformation of a triangle that is dilated by a factor of 5, then translated 2 units right and 7 units down.

a)

$f\left(x,y\right)=\left(5x-2,\ 5y+7\right)$

b)

$f\left(x,y\right)=\left(5\left(x-2\right),\ 5\left(y+7\right)\right)$

c)

$f\left(x,y\right)=\left(5\left(x+2\right),\ 5\left(y-7\right)\right)$

d)

$f\left(x,y\right)=\left(5x+2,\ 5y-7\right)$

24.

Triangle EGF will be rotated 90° counterclockwise around the origin and will then be reflected across the y-axis, producing an image triangle. Which additional transformation will map the image triangle back onto the original triangle?

a)

Rotation 270° counterclockwise around the origin

b)

Reflection across the line y = -x

c)

Rotation 180° counterclockwise around the origin

d)

Reflection across the line y = x

Unit 1 Re-Loop

Total questions: 24

Worksheet time: 47mins

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