Question 8

A line of symmetry cuts a shape into two parts that are exact mirror images.

Step 1 — First shape

Look at the first shape. It has two diamonds. One diamond is on top of the other.

We can fold this shape in half. The two halves will match perfectly. This fold line is a line of symmetry.

$\boxed{\text{This shape has 1 vertical line of symmetry.}}$

Step 2 — Second shape

Look at the second shape. It has three diamonds. They are in a row.

We can fold this shape in half. The top part will match the bottom part. This fold line is a line of symmetry.

$\boxed{\text{This shape has 1 horizontal line of symmetry.}}$

Step 3 — Third shape

Look at the third shape. It has four diamonds. They form a bigger diamond.

We can fold this shape in four ways. Each fold line is a line of symmetry. There is a vertical line. There is a horizontal line. There are two diagonal lines.

$\boxed{\text{This shape has 4 lines of symmetry.}}$

Step 4 — Fourth shape

Look at the fourth shape. It looks like a cross made of diamonds.

We can fold this shape in two ways. There is a vertical line. There is a horizontal line. These are lines of symmetry.

$\boxed{\text{This shape has 2 lines of symmetry.}}$

Step 5 — Fifth shape

Look at the fifth shape. It is a large square. It has a smaller square inside.

This shape is like a square. A square has four lines of symmetry. There is a vertical line. There is a horizontal line. There are two diagonal lines.

$\boxed{\text{This shape has 4 lines of symmetry.}}$

Step 6 — Sixth shape

Look at the sixth shape. It is an octagon-like shape. It is on the grid.

We can fold this shape in two ways. There is a vertical line. It goes down the middle. There is a horizontal line. It goes across the middle.

$\boxed{\text{This shape has 2 lines of symmetry.}}$

Step 7 — Seventh shape

Look at the seventh shape. It is a five-sided shape. It is on the grid.

Try to fold this shape. No fold line will make the halves match. This shape has no symmetry.

$\boxed{\text{This shape has 0 lines of symmetry.}}$

Step 8 — Eighth shape

Look at the eighth shape. It is a four-pointed star. It is on the grid.

This star shape has four lines of symmetry. There is a vertical line. There is a horizontal line. There are two diagonal lines.

$\boxed{\text{This shape has 4 lines of symmetry.}}$

Answer

(i) The first shape has 1 vertical line of symmetry. (ii) The second shape has 1 horizontal line of symmetry. (iii) The third shape has 4 lines of symmetry (vertical, horizontal, and two diagonal). (iv) The fourth shape has 2 lines of symmetry (vertical and horizontal). (v) The fifth shape (square with inner square) has 4 lines of symmetry (vertical, horizontal, and two diagonal). (vi) The sixth shape (octagon-like) has 2 lines of symmetry (vertical and horizontal). (vii) The seventh shape (pentagon-like) has 0 lines of symmetry. (viii) The eighth shape (star-like) has 4 lines of symmetry (vertical, horizontal, and two diagonal).