Topics
3. Geometry
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United States of AmericaFL
Grade 8

3.02 Reflections on the coordinate plane

Lesson
Worksheet
Practice
Worksheet
Reflections
1

State whether the following statements are true or false:

a

A shape is reflected across a line. If the reflected shape is then reflected across the same line, it will return to the original shape.

b

A shape that is reflected across a line will look the same as translating it.

2

Square ABCD was reflected across the given line.

Which point in the image corresponds to point A?

3

Determine whether the following diagrams show a reflection across the given line:

a
1
2
3
4
5
6
7
8
9
x
1
2
3
4
5
6
7
8
9
y
b
1
2
3
4
5
6
7
8
x
1
2
3
4
5
6
7
8
y
c
1
2
3
4
5
6
7
8
x
1
2
3
4
5
6
7
8
y
d
1
2
3
4
5
6
7
8
x
1
2
3
4
5
6
7
8
y
e
1
2
3
4
5
6
7
8
x
1
2
3
4
5
6
7
8
y
f
1
2
3
4
5
6
7
8
9
x
1
2
3
4
5
6
7
8
9
y
g
1
2
3
4
5
6
7
8
x
1
2
3
4
5
6
7
8
y
h
1
2
3
4
5
6
7
8
x
1
2
3
4
5
6
7
8
y
4

Reflect the following shapes over the dashed line:

a
b
c
d
e
f
g
h
5

Which shape results when the purple triangle is reflected across the vertical axis and then reflected across the horizontal axis?

-5
-4
-3
-2
-1
1
2
3
4
5
x
-5
-4
-3
-2
-1
1
2
3
4
5
y
6

For each of the following:

  • Plot point A on a coordinate plane.

  • Plot point A', a reflection of point A across the x-axis.

a

A\left(7,3\right)

b

A \left( - 5 , - 6 \right)

c

A\left(2, - 2 \right)

d

A\left( - 5 , 6\right)

e

A\left( 0, -1\right)

f

A\left(-4 , 3\right)

g

A\left( 1 , 8\right)

h

A\left( - 9 , -10\right)

7

For each of the following:

  • Plot point A on a coordinate plane.

  • Plot point A', a reflection of point A across the y-axis.

a

A\left(6, 9\right)

b

A \left( - 7 , - 3 \right)

c

A \left(9, - 10 \right)

d

A\left( - 7 , 8\right)

e

A\left( -3 , 0\right)

f

A\left(6, 8\right)

g

A\left( -1 , -5\right)

h

A\left( 2 , -10\right)

8

Consider the point A \left(6, 7\right).

a

Plot point A on a coordinate plane.

b

If point A is reflected across the x-axis to produce point B, find the coordinates of B.

c

How many units would point A need to be translated to overlap point B?

9

Graph \overline{AB}, where the endpoints are A\left( - 6 , - 1 \right) and B\left(10, 8\right). Then, graph the reflection of the line segment about the y-axis.

10

Graph the reflection of each of the following triangles across the given line:

a

x=-1

-10
-8
-6
-4
-2
2
4
6
8
10
x
-10
-8
-6
-4
-2
2
4
6
8
10
y
b

x=-3

-10
-8
-6
-4
-2
2
4
6
8
10
x
-10
-8
-6
-4
-2
2
4
6
8
10
y
c

y=3

-10
-8
-6
-4
-2
2
4
6
8
10
x
-10
-8
-6
-4
-2
2
4
6
8
10
y
d

y=-1

-10
-8
-6
-4
-2
2
4
6
8
10
x
-10
-8
-6
-4
-2
2
4
6
8
10
y
e

x=3

-10
-8
-6
-4
-2
2
4
6
8
10
x
-10
-8
-6
-4
-2
2
4
6
8
10
y
f

x=-3

-10
-8
-6
-4
-2
2
4
6
8
10
x
-10
-8
-6
-4
-2
2
4
6
8
10
y
g

y=-4

-10
-8
-6
-4
-2
2
4
6
8
10
x
-10
-8
-6
-4
-2
2
4
6
8
10
y
h

y=-2

-10
-8
-6
-4
-2
2
4
6
8
10
x
-10
-8
-6
-4
-2
2
4
6
8
10
y
11

The following diagram shows reflections over line L:

a

Find the value of the following:

i
a
ii
b
iii
c
iv
d
v
e
b

Where will the reflection of point K lie?

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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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