Topics
3. Geometry
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United States of AmericaFL
Grade 8

3.03 Rotations on the coordinate plane

Lesson
Worksheet
Practice
Worksheet
Rotations on the coordinate plane
1

State whether each picture shows a rotation:

a
b
c
d
2

Consider the flag on the number plane shown:

Draw the flag after it has been rotated:

a

90 \degree about point A.

b

180 \degree about point A.

c

270 \degree about point A.

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x
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y
3

Consider the following shape:

Draw the shape after it has been rotated by 180 \degree clockwise about point A.

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x
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y
4

Consider the shape shown:

Draw the shape after it has been 135 \degree counterclockwise rotated about point A.

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y
5

For each of the following:

i

Find the clockwise angle of rotation of shape A to shape B about point O.

ii

Find the counterclockwise angle of rotation of shape A to shape B about point O.

a
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x
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b
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6

Find the counterclockwise angle of rotation of shape A to shape B about point O.

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y
7

Consider the following image:

a

Which segment represents a clockwise rotation of segment PQ by 90 \degree about point O?

b

Which segment represents an counterclockwise rotation of segment XY by 270 \degree about point O?

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8

Find the coordinates of point B when it is rotated 90 \degree clockwise about the origin.

-5
-4
-3
-2
-1
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x
-5
-4
-3
-2
-1
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y
9

Which shape corresponds to a rotation of triangle R by 270 \degree clockwise about the origin?

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-4
-3
-2
-1
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x
-5
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-3
-2
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y
10

Suppose all four triangles in the image below are rotated 270 \degree clockwise about the origin.

Which image would correspond to the result of this transformation?

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-4
-3
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-1
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x
-5
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-3
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-1
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y
A
-5
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-3
-2
-1
1
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x
-5
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-3
-2
-1
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y
B
-5
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-3
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-1
1
2
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x
-5
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-3
-2
-1
1
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y
C
-5
-4
-3
-2
-1
1
2
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4
5
x
-5
-4
-3
-2
-1
1
2
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5
y
D
-5
-4
-3
-2
-1
1
2
3
4
5
x
-5
-4
-3
-2
-1
1
2
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4
5
y
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Outcomes

MA.8.GR.2.1

Given a preimage and image generated by a single transformation, identify the transformation that describes the relationship.

MA.8.GR.2.3

Describe and apply the effect of a single transformation on two-dimensional figures using coordinates and the coordinate plane.

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