Quiz about Rotations, Translations, Reflections, and Dilations

Question 1

Determine how to translate triangle ABC to triangle A'B'C' using the algebraic rule.

Accepted Answer

(x, y) --> (x - 2, y + 9)

Answer

(x, y) --> (x + 2, y - 5)

Answer

(x, y) --> (x + 2, y - 9)

Answer

(x, y) --> (x - 2, y - 9)

Question 2

How would you translate point P to P'?

Accepted Answer

Translate 2 units to the right and  8 units down

Answer

Translate 3 units down and 2 units to the right

Answer

Translate 4 units down and 4 units to the left

Answer

Translate 8 units to the right and 2 units down

Question 3

Trapezoid ABCD is translated to trapezoid A'B'C'D'. What algebraic rule describes this transformation?

Accepted Answer

(x, y) --> (x + 5, y - 8)

Answer

(x, y) --> (x + 5, y + 8)

Answer

(x, y) --> (x - 8, y + 5)

Answer

(x, y) --> (x - 8, y - 5)

Question 4

When you translate, you ______ a number to x and y.

Accepted Answer

Add or subtract

Answer

Multiply or divide

Answer

Add or multiply

Answer

Subtract or divide

Question 5

Write the rule for this translation:

Slide 5 up and 7 right

Accepted Answer

(x, y)-----> (x + 7, y + 5)

Answer

(x, y)---->(x + 5, y + 7)

Answer

(x, y)----> (x - 7, y - 5)

Answer

(x, y)----> (7x, 5y)

Question 6

A figure is translated 9 units left and 3 units down. What algebraic rule describes this transformation?

Accepted Answer

(x, y) --> (x - 9, y - 3)

Answer

(x, y) --> (x - 9, y + 3)

Answer

(x, y) --> (x + 3, y - 9)

Answer

(x, y) --> (9x, 3y)

Question 7

What is the algebraic representation for the transformation shown?

Accepted Answer

(x, y) ---> (x + 4, y - 9)

Answer

(x, y) ---> (x - 8, y + 3)

Answer

(x, y) ---> (x - 4, y + 9)

Answer

(x, y) ---> (x + 8, y - 3)

Question 8

When translating left or right on a coordinate plane, what coordinate is affected?

Accepted Answer

x-coordinate

Answer

y-coordinate

Answer

both x- and y-coordinates

Answer

neither the x- nor the y-coordinate

Question 9

When translating up or down on a coordinate plane, what coordinate is affected?

Accepted Answer

y-coordinate

Answer

x-coordinate

Answer

both the x- and y-coordinates

Answer

neither the x- nor the y-coordinate

Question 10

Reflecting over the x-axis changes the ______________.

Accepted Answer

y-coordinate

Answer

x-coordinate

Answer

order of the coordinates

Answer

none of the above

Question 11

Reflecting over the y-axis changes the ______________.

Accepted Answer

x-coordinate

Answer

y-coordinate

Answer

order of the coordinates

Answer

none of the above

Question 12

Reflect (6, -3) over the x-axis. What are the new coordinates of that point after the reflection?

Accepted Answer

(6, 3)

Answer

(-6, -3)

Answer

(-3, 6)

Answer

(3, -6)

Question 13

Reflect the point (2, -4) over the y-axis. What are the new coordinates of that point after the reflection?

Accepted Answer

(-2, -4)

Answer

(-4, 2)

Answer

(-2, 4)

Answer

(2, 4)

Question 14

What transformation is the following rule for?

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

Accepted Answer

Reflect over the y-axis

Answer

Reflect over the x axis

Answer

Rotate 90 degrees clockwise

Answer

Rotate 270 degrees clockwise

Question 15

What transformation is the following rule for?
(x, y) --> (x, -y)

Accepted Answer

Reflect over the x axis

Answer

Reflect over the y-axis

Answer

Rotate 90 degrees clockwise

Answer

Rotate 270 degrees clockwise

Question 16

Where will A' be located if triangle ABC is reflected using the rule (x, y) --> (-x, y) ?

Accepted Answer

(-1,2)

Answer

(2,1)

Answer

(1,-2)

Answer

(-1, -2)

Question 17

Which answer shows a reflection across the x-axis?

Accepted Answer

c

Answer

d

Answer

b

Answer

a

Question 18

How many degrees was the figure rotated?

Accepted Answer

180 degrees

Answer

90 degrees counterclockwise

Answer

270 counterclockwise

Answer

90 degrees clockwise

Question 19

Rotate the point (7,8) around the origin 90 degrees counter clock wise. State the image of the point.

Accepted Answer

(-8,7)

Answer

(-7,-8)

Answer

(8,-7)

Answer

(8,7)

Question 20

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

Accepted Answer

(3,4)

Answer

(-4,-3)

Answer

(-4,3)

Answer

(4,-3)

Question 21

How do you write the algebraic notation when the scale factor is 1/2?

Accepted Answer

(x, y) goes to (1/2x, 1/2y)

Answer

(x, y) goes to (2x, 2y)

Answer

(x, y) goes to (-2x, -2y)

Answer

(x, y) goes to (2x, 1/2y)

Question 22

Does the image show a Dilation?

Accepted Answer

Yes

Answer

No

Question 23

A dilation is which of the following:

Accepted Answer

Either an enlargement or a reduction

Answer

An enlargement

Answer

A reduction

Answer

Neither an enlargement or a reduction

Question 24

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.

Accepted Answer

(-5,-3)

Answer

(5,3)

Answer

(20,12)

Answer

(-20,-12)

Question 25

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor k = 2.

Accepted Answer

(8,18)

Answer

(2,4.5)

Answer

(-8,-18)

Answer

(9,4)

Question 26

What Transformation is visible?

Accepted Answer

Dilation

Answer

Reflection

Answer

Translation

Answer

Rotation

Question 27

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

Accepted Answer

(6,0), (9,-3), (-6,-15)

Answer

(5,3), (6,2), (1,-2)

Answer

(2/3,0), (1,-1/3), (-2/3,-5/3)

Answer

(-1,-3), (0,-4), (-5,-8)

Question 28

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

Accepted Answer

A'(9,9) B'(18,18) C'(27,9)

Answer

A'(6,6) B'(9,9) C'(12,6)

Answer

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

Answer

A'(1,1) B'(2,2) C'(3,1)

Question 29

The original figure prior to a transformation.

Accepted Answer

Pre-image

Answer

Image

Question 30

The result of a transformation.

Accepted Answer

Image

Answer

Pre-image

Question 31

A dilation produces a similar figure

Accepted Answer

True

Answer

False

Question 32

A dilation produces a congruent figure

Accepted Answer

False

Answer

True

Answer

D

Question 33

When a dilation has a scale factor greater than one, the dilation is an enlargement.

Accepted Answer

True

Answer

False

Question 34

When the scale factor of a dilation is less than one, the dilation is a reduction.

Accepted Answer

True

Answer

False

Question 35

How do you write the algebraic notation when the scale factor is 3?

Accepted Answer

(x, y) goes to (3x, 3y)

Answer

(x, y) goes to (1/3x, 1/3y)

Answer

(x, y) goes to (-3x, -3y)

Answer

(x, y) goes to (x + 3, y + 3)

Question 36

How do you write the algebraic notation when the scale factor is 1/2?

Accepted Answer

(x, y) goes to (1/2x, 1/2y)

Answer

(x, y) goes to (2x, 2y)

Answer

(x, y) goes to (-2x, -2y)

Answer

(x, y) goes to (2x, 1/2y)

Question 37

Choose the correct scale factor:

Accepted Answer

2

Answer

3

Answer

1/3

Answer

1/2

Question 38

Dilate Point B by a scale factor of 3:

Accepted Answer

(0,12)

Answer

(12,0)

Answer

(12,12)

Answer

(4,3)

Question 39

Does the image show a dilation?

Accepted Answer

No

Answer

Yes

Question 40

Does the image show a Dilation?

Accepted Answer

Yes

Answer

No

Question 41

In a dilation what mathematical operation is used with the scale factor?

Accepted Answer

multiplication

Answer

addition

Answer

subtraction

Answer

division

Question 42

Triangle ABC will be dilated by a scale factor of 1/2.  What will be the coordinates of C'?

Accepted Answer

(3, -1.5)

Answer

(-1, -2.5)

Answer

(12, 6)

Answer

(0, 1.5)

Question 43

Enlargement or reduction?  Find the scale factor!

Accepted Answer

It's a reduction; the scale factor is 1/2.

Answer

It's a reduction; the scale factor is 2.

Answer

It's an enlargement; the scale factor is 2.

Answer

It's an enlargement; the scale factor is 1/2.

Question 44

If the scale factor is greater than 1, the dilation is...

Accepted Answer

an enlargement

Answer

a rotation

Answer

a translation

Answer

a reduction

Question 45

If the scale factor is less than 1, the dilation is...

Accepted Answer

a reduction

Answer

an enlargement

Answer

a translation

Answer

a rotation

Question 46

Enlargement or reduction?  Find the scale factor!

Accepted Answer

It's an enlargement; the scale factor is 2.

Answer

It's an enlargement; the scale factor is 1/2.

Answer

It's a reduction; the scale factor is 1/2.

Answer

It's a reduction; the scale factor is 2.

Question 47

Triangle ABC has vertices A (-2, 2), B (2, 4) and C (3, -1).  What are the coordinates of A' after a dilation by a scale factor of 2.5?

Accepted Answer

(-5, 5)

Answer

(5, -5)

Answer

(5, 10)

Answer

(7.5, -2.5)

Question 48

Rectangle ABCD is dilated so that A' is located at (3, 6).  What could be the dilation rule?

Accepted Answer

(3/2 x, 3/2 y)

Answer

(2x, 3y)

Answer

(2/3 x, 2/3 y)

Answer

(x + 2, y + 3)

Question 49

Rectangle ABCD is dilated so that the coordinates of C' are (2, -1).  What could be the dilation rule?

Accepted Answer

(1/2 x, 1/2 y)

Answer

(-2x, +1y)

Answer

(2x, 2y)

Answer

(x - 2, y - 1)

Question 50

Triangle ABC is dilated so that the coordinates of C' are (2, -1).  What was the scale factor of the dilation?

Accepted Answer

1/3

Answer

3

Answer

2

Answer

1/2

Question 51

Polygon ABCDE will be dilated by a scale factor of 2.  Which statement is NOT true of the dilation?

Accepted Answer

The original and the image will be congruent.

Answer

The corresponding angles of the two polygons will be equal.

Answer

The dilation will be an enlargement.

Answer

Polygon A'B'C'D'E' will be proportional to polygon ABCDE.

Question 52

Enlargement or reduction?  Find the scale factor!

Accepted Answer

It's a reduction; the scale factor is 1/3.

Answer

It's an enlargement; the scale factor is 3.

Answer

It's a reduction; the scale factor is 1/2.

Answer

It's an enlargement; the scale factor is 2.

Question 53

Dilation rules use ______________ to change the ___________ of a shape.

Accepted Answer

multiplication; size

Answer

addition; location

Answer

division; direction

Answer

subtraction; orientation

Rotations, Translations, Reflections, and Dilations

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