Quiz about Rotations, Dilations, and Sequences

Question 1

How many degrees was the figure rotated?

Accepted Answer

180 degrees

Answer

90 degrees counterclockwise

Answer

270 counterclockwise

Answer

90 degrees clockwise

Question 2

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 3

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 4

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 5

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 6

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 7

Rotate the point (-5,8) around the origin 270 degrees counterclockwise. State the image of the point.

Accepted Answer

(8,5)

Answer

(-8,5)

Answer

(8,-5)

Answer

(5,-8)

Question 8

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

Accepted Answer

(-8,7)

Answer

(-7,-8)

Answer

(8,-7)

Answer

(8,7)

Question 9

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 10

Identify the transformation from B to D.

Accepted Answer

180^o Rotation

Answer

90^o Clockwise Rotation

Answer

270^o clockwise Rotation

Answer

360^o Rotation

Question 11

The __________ is the ratio of a length of the image to the corresponding length on the original figure.

Accepted Answer

scale factor

Answer

reduction

Answer

enlargement

Answer

center of dilation

Question 12

Which of the 4 transformations from this unit is NOT an Isometry ?

Accepted Answer

Dilation

Answer

Translation

Answer

Rotation

Answer

Reflection

Question 13

State the coordinate of the image of the given point B (9,-6) under a dilation with center at the origin with the given scale factor k = 4/3.

Accepted Answer

(12,-8)

Answer

(12,8)

Answer

(27,-18)

Answer

(3,-2)

Question 14

State the coordinate of the image of the given point B (-2,6) under a dilation with center at the origin with the given scale factor k = -3.

Accepted Answer

(6,-18)

Answer

(6,18)

Answer

(-6,-18)

Answer

(-5,3)

Question 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.

Accepted Answer

(-5,-3)

Answer

(5,3)

Answer

(20,12)

Answer

(-20,-12)

Question 16

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 17

Rotate the point (-9,1) around the origin -90 degrees. State the image of the point.

Accepted Answer

(1,9)

Answer

(9,-1)

Answer

(-1,-9)

Answer

(-1,9)

Question 18

The rule for rotation of 90 degrees is
(x, y) --> _

Accepted Answer

(-y, x)

Answer

(y, -x)

Answer

(x, -y)

Answer

(-x, y)

Question 19

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 20

Dilate Point A by a scale factor of 1/2

Accepted Answer

(-1,-1)

Answer

(-4,-4)

Answer

(-1,-4)

Answer

(-2,-2)

Question 21

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 22

Is the dilation a reduction or enlargement if k = 1/5?

Accepted Answer

reduction

Answer

enlargement

Question 23

Rotate the point (-2,-4) around the origin 270 degrees. State the image of the point.

Accepted Answer

(-4,2)

Answer

(4,-2)

Answer

(2,4)

Answer

(-2,4)

Question 24

Choose the correct scale factor:

Accepted Answer

2

Answer

3

Answer

1/3

Answer

1/2

Question 25

Rotate the point (5,5) around the origin 180 degrees counterclockwise. State the image of the point.

Accepted Answer

(-5,-5)

Answer

(5,-5)

Answer

(5,5)

Answer

(-5,5)

Question 26

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 27

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 28

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 29

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 30

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 31

Quadrilateral RSTV is dilated so that the coordinates of S' are (3, 9).  What was the scale factor of the dilation?

Accepted Answer

3/2

Answer

0.6

Answer

(1, 3)

Answer

3

Question 32

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 33

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 34

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 35

Which could be the rule used to dilate ABC to A'B'C'?

Accepted Answer

(1/3 x, 1/3 y)

Answer

(5x, 5y)

Answer

(3x, 3y)

Answer

(2x, 2y)

Question 36

Circle I is dilated to create Circle II.  Which could be the scale factor of the dilation?

Accepted Answer

8/3

Answer

5

Answer

3/8

Answer

8

Question 37

Enlargement or reduction?  Find the scale factor!

Accepted Answer

It's an enlargement; the scale factor is 3/2.

Answer

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

Answer

It's a reduction; the scale factor is 2/3.

Answer

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

Question 38

Does the image show a Dilation? If yes, did the image enlarge, reduce or none of the above?

Accepted Answer

Yes, enlarge

Answer

Yes, reduce

Answer

No

Question 39

What scale factor was used to produce the image?

Accepted Answer

1.5

Answer

2.5

Answer

3.5

Answer

4

Question 40

What are the coordinates for the center of dilation?

Accepted Answer

(3, 1)

Answer

(3, 0)

Answer

(0, 0)

Answer

(3, -2)

Question 41

Find the measure of x:

Accepted Answer

36

Answer

6

Answer

24

Answer

33

Question 42

State the coordinates of the image of point B after a dilation with a scale factor of 2 and centered at point A.

Accepted Answer

(-4,6)

Answer

(-4,2)

Answer

(-8,4)

Answer

(-2,-2)

Question 43

How many degrees was the figure rotated?

Accepted Answer

90 degrees clockwise

Answer

90 degrees counterclockwise

Answer

180 degrees

Question 44

Write a rule for the translation.

Accepted Answer

(x +2, y  - 1)

Answer

(x -1, y  + 2)

Answer

(x -2, y  + 1)

Answer

(x +1, y  -  2)

Question 45

The point Z(4, -2) is rotated 180 degrees about the origin.  What is the image of Z?

Accepted Answer

Z'(-4, 2)

Answer

Z'(2, 4)

Answer

Z'(-2, -4)

Answer

Z'(-4, -2)

Question 46

Find the value of x (to the nearest whole number)

Accepted Answer

7

Answer

5

Answer

9

Answer

11

Question 47

Rotating the point (6 , 10) 90 degrees counterclockwise about the origin would result in what new coordinate?

Accepted Answer

(-10 , 6)

Answer

(6 , -10)

Answer

( -6 , -10)

Answer

(10 , -6)

Question 48

If the original lengths are multiplied by 2, what are the new coordinates?

Accepted Answer

(0, 0), (12, 18), (12, 0)

Answer

(0, 0), (18, 12), (12, 0)

Answer

(0, 0), (12, 18), (0, 12)

Answer

(0, 0), (18, 12), (0, 12)

Rotations, Dilations, and Sequences

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