Reflecting shapes

The Maths Habit

How many squares from P to the dashed line?

1P3 squares
2P4 squares
3P3 squares

Which picture shows the shape reflected in the dashed mirror line?

A
B
C

C. It is flipped over. Each corner is the same distance from the line.

Reflect
Flip a shape over a line, like a picture in a mirror.
Mirror line
The line the shape is flipped over.
Image
The new shape you get after the reflection.

mirror linePQRP′Q′R′
  1. Count the squares from a corner to the mirror line.Count straight across.
  2. Count the same on the other side.Mark the new corner.
  3. Do it for every corner.Join the new corners.

Reflect the shape.

mirror linePQRP′Q′R′
CountP3Q3R1
MarkP′Q′R′
Join

Reflect the shape.

mirror linePQRP′Q′R′
CountP1Q4R1
MarkP′Q′R′
Join

Reflect the shape.

mirror linePQRP′Q′R′
CountP3Q3R1
MarkP′Q′R′
Join

Reflect the shape.

mirror linePQRP′Q′R′
PP′Count to the lineMark the same past itJoin the corners
CountP2Q2R4
MarkP′Q′R′
Join

Reflect the shape.

mirror linePQRP′Q′R′
CountP3Q3R1
MarkP′Q′R′
Join

Reflect the shape.

mirror linePQRP′Q′R′
PP′Count to the lineMark the same past itJoin the corners
CountP2Q4R2
MarkP′Q′R′
Join

Reflect the shape.

mirror linePQRP′Q′R′
CountP3Q3R1
MarkP′Q′R′
Join

Reflect the shape.

mirror linePQRP′Q′R′
PP′Count to the lineMark the same past itJoin the corners
CountP3Q1R4
MarkP′Q′R′
Join

Copy and reflect each shape.

1PQRP′Q′R′
CountP3Q1R3
MarkP′Q′R′
Join
2PQRP′Q′R′
CountP1Q3R3
MarkP′Q′R′
Join
3PQRP′Q′R′
CountP2Q1R3
MarkP′Q′R′
Join
PP′Count to the lineMark the same past itJoin the corners

The mirror line goes across. Count up or down. How many squares from P to the line?

P3 squares
P2 squares

mirrorlinePQRP′Q′R′
  1. Count the squares from a corner to the mirror line.Count straight down (or up).
  2. Count the same on the other side.Mark the new corner.
  3. Do it for every corner.Join the new corners.

Reflect the shape.

mirrorlinePQRP′Q′R′
CountP1Q1R3
MarkP′Q′R′
Join

Reflect the shape.

mirrorlinePQRP′Q′R′
CountP1Q3R1
MarkP′Q′R′
Join

Reflect the shape.

mirrorlinePQRP′Q′R′
CountP1Q1R3
MarkP′Q′R′
Join

Reflect the shape.

mirrorlinePQRP′Q′R′
PP′Count to the lineMark the same past itJoin the corners
CountP1Q3R3
MarkP′Q′R′
Join

Reflect the shape.

mirrorlinePQRP′Q′R′
CountP1Q1R3
MarkP′Q′R′
Join

Reflect the shape.

mirrorlinePQRP′Q′R′
PP′Count to the lineMark the same past itJoin the corners
CountP1Q2R3
MarkP′Q′R′
Join

Reflect the shape.

mirrorlinePQRP′Q′R′
CountP1Q1R3
MarkP′Q′R′
Join

Reflect the shape.

mirrorlinePQRP′Q′R′
PP′Count to the lineMark the same past itJoin the corners
CountP2Q1R3
MarkP′Q′R′
Join

Copy and reflect each shape.

1PQRP′Q′R′
CountP1Q1R2
MarkP′Q′R′
Join
2PQRP′Q′R′
CountP1Q2R2
MarkP′Q′R′
Join
3PQRP′Q′R′
CountP2Q1R1
MarkP′Q′R′
Join
PP′Count to the lineMark the same past itJoin the corners

Is the pink shape a reflection of the grey shape? Thumbs up or thumbs down.

AYes
BNo: it has slid, not flipped
CYes
DNo: it is too far from the line

Reflecting shapes worksheet, page 1

Reflecting shapes worksheet, page 2

Answer sheet

  1. The point (3, 2) is reflected in the y axis. Where does it end up?

    (−3, 2)

  2. The point (5, 1) is reflected in the line x = 2. Where does it end up?

    (−1, 1)

  3. A shape is reflected in a mirror line. Then the image is reflected in the same line. Where does it end up?

    Where it started

  1. Reflect the shape. CountP2Q1R2MarkP′Q′R′Join

    PQRP′

  2. Reflect the shape. CountP2Q1R1MarkP′Q′R′Join

    PQR

  3. Reflect the shape. (Draw it on your ticket.)

    PQR
Exit tickets to print