Describing reflections

The Maths Habit

Which number is halfway between the two dots?

10123456789104
20123456789105
30123456789107

Which dashed line is the mirror line?

abcAB

Line b. It is halfway between A and B.

0123456781234xyAB
Reflection
A flip of a shape over a mirror line.
Mirror line
The line a shape is flipped over.
01234561234xy
x axis
The number line that goes across.
01234561234xy
y axis
The number line that goes up.

What is the same about every point on the dashed line?

01234567123456xy(3, 1)(3, 3)(3, 5)

The first number is always 3. So it is the line x = 3.

0123456789101112123456xyAB
  1. Draw the mirror line halfway between A and B.
  2. It goes up and down, so it is x =.
  3. Read the number where it meets the x axis.
  4. Reflection in the line x = 6

Describe fully the reflection.

0123456789101112123456xyAB
Draw
WriteReflection in the line x=5

Describe fully the reflection.

0123456789101112123456xyAB
Draw
WriteReflection in the line x=7

Describe fully the reflection.

0123456789101112123456xyAB
Draw
WriteReflection in the line x=5

Describe fully the reflection.

0123456789101112123456xyAB
0123412xy1Draw the mirror line halfway.2Up and down: x =. Across: y =.3Read where it meets the axis.
Draw
WriteReflection in the line x=4

Describe fully the reflection.

0123456789101112123456xyAB
Draw
WriteReflection in the line x=5

Describe fully the reflection.

0123456789101112123456xyAB
0123412xy1Draw the mirror line halfway.2Up and down: x =. Across: y =.3Read where it meets the axis.
Draw
WriteReflection in the line x=8

Describe fully the reflection.

0123456789101112123456xyAB
Draw
WriteReflection in the line x=5

Describe fully the reflection.

0123456789101112123456xyAB
0123412xy1Draw the mirror line halfway.2Up and down: x =. Across: y =.3Read where it meets the axis.
Draw
WriteReflection in the line x=6

Describe fully each reflection.

10123456781234xyAB
Draw
WriteReflection in the line x=4
20123456781234xyAB
Draw
WriteReflection in the line x=5
30123456781234xyAB
Draw
WriteReflection in the line x=3
0123412xy1Draw the mirror line halfway.2Up and down: x =. Across: y =.3Read where it meets the axis.

What is the same about every point on the dashed line?

0123456712345xy(1, 2)(4, 2)(6, 2)

The second number is always 2. So it is the line y = 2.

01234567123456789xyAB
  1. Draw the mirror line halfway between A and B.
  2. It goes across, so it is y =.
  3. Read the number where it meets the y axis.
  4. Reflection in the line y = 4

Describe fully the reflection.

01234567123456789xyAB
Draw
WriteReflection in the line y=5

Describe fully the reflection.

01234567123456789xyAB
Draw
WriteReflection in the line y=4

Describe fully the reflection.

01234567123456789xyAB
Draw
WriteReflection in the line y=5

Describe fully the reflection.

01234567123456789xyAB
0123412xy1Draw the mirror line halfway.2Up and down: x =. Across: y =.3Read where it meets the axis.
Draw
WriteReflection in the line y=6

Describe fully the reflection.

01234567123456789xyAB
Draw
WriteReflection in the line y=5

Describe fully the reflection.

01234567123456789xyAB
0123412xy1Draw the mirror line halfway.2Up and down: x =. Across: y =.3Read where it meets the axis.
Draw
WriteReflection in the line y=5

Describe fully the reflection.

01234567123456789xyAB
Draw
WriteReflection in the line y=5

Describe fully the reflection.

01234567123456789xyAB
0123412xy1Draw the mirror line halfway.2Up and down: x =. Across: y =.3Read where it meets the axis.
Draw
WriteReflection in the line y=4

Describe fully each reflection.

10123456123456789xyAB
Draw
WriteReflection in the line y=4
20123456123456789xyAB
Draw
WriteReflection in the line y=5
30123456123456789xyAB
Draw
WriteReflection in the line y=6
0123412xy1Draw the mirror line halfway.2Up and down: x =. Across: y =.3Read where it meets the axis.

Name each mirror line. Stand up for x. Stay sitting for y.

A01234567812345xyABx = 4
B01234561234567xyABy = 3
C01234567812345xyABx = 5
D01234561234567xyABy = 4

Describing reflections worksheet, page 1

Describing reflections worksheet, page 2

Answer sheet

  1. The y axis is a mirror line. What is its equation?

    x = 0

  2. P (2, 1) is reflected to P′ (2, 7). What is the mirror line?

    y = 4

  3. A mirror line goes through (1, 1), (2, 2) and (3, 3). What is its equation?

    y = x

  1. Describe fully the reflection. DrawWriteReflection in the line x = 4

    012345671234xyAB

  2. Describe fully the reflection. DrawWriteReflection in the line y = 3

    012345123456xyAB

  3. Describe fully the reflection.

    Reflection in x = 5
    0123456781234xyAB
Exit tickets to print