Question 11

We need to find which figures look the same after turning them by more than just a full circle.

Step 1 — Figure 1 (Circle with cross)

Let us look at the first figure. It is a circle with two lines crossing at its center. We can turn this figure around its center. It looks the same after turning by 90 degrees. It also looks the same after turning by 180 degrees. It also looks the same after turning by 270 degrees. It also looks the same after turning by 360 degrees. The number of angles of symmetry is: $1 + 1 + 1 + 1$ $= 4$

$\boxed{4 \text{ angles}}$ This figure has more than one angle of symmetry.

Step 2 — Figure 2 (Triangle with dot)

Let us look at the second figure. It is a triangle with a dot inside. We can turn this figure around its center. It only looks the same after turning by 360 degrees. It does not look the same for any smaller turn. The number of angles of symmetry is: $1$

$\boxed{1 \text{ angle}}$ This figure does not have more than one angle of symmetry.

Step 3 — Figure 3 (Circle with three spokes)

Let us look at the third figure. It is a circle with three lines meeting at its center. We can turn this figure around its center. It looks the same after turning by 120 degrees. It also looks the same after turning by 240 degrees. It also looks the same after turning by 360 degrees. The number of angles of symmetry is: $1 + 1 + 1$ $= 3$

$\boxed{3 \text{ angles}}$ This figure has more than one angle of symmetry.

Step 4 — Figure 4 (Four-blade fan)

Let us look at the fourth figure. It looks like a fan with four blades. We can turn this figure around its center. It looks the same after turning by 90 degrees. It also looks the same after turning by 180 degrees. It also looks the same after turning by 270 degrees. It also looks the same after turning by 360 degrees. The number of angles of symmetry is: $1 + 1 + 1 + 1$ $= 4$

$\boxed{4 \text{ angles}}$ This figure has more than one angle of symmetry.

Step 5 — Figure 5 (Cross)

Let us look at the fifth figure. It is a cross shape, like an 'X'. We can turn this figure around its center. It looks the same after turning by 90 degrees. It also looks the same after turning by 180 degrees. It also looks the same after turning by 270 degrees. It also looks the same after turning by 360 degrees. The number of angles of symmetry is: $1 + 1 + 1 + 1$ $= 4$

$\boxed{4 \text{ angles}}$ This figure has more than one angle of symmetry.

Step 6 — Figure 6 (Five-pointed star)

Let us look at the sixth figure. It is a five-pointed star. We can turn this figure around its center. It looks the same after turning by 72 degrees. It also looks the same after turning by 144 degrees. It also looks the same after turning by 216 degrees. It also looks the same after turning by 288 degrees. It also looks the same after turning by 360 degrees. The number of angles of symmetry is: $1 + 1 + 1 + 1 + 1$ $= 5$

$\boxed{5 \text{ angles}}$ This figure has more than one angle of symmetry.

Step 7 — Figure 7 (B-shape)

Let us look at the seventh figure. It looks like a letter 'B' cut in half. We can turn this figure around its center. It only looks the same after turning by 360 degrees. It does not look the same for any smaller turn. The number of angles of symmetry is: $1$

$\boxed{1 \text{ angle}}$ This figure does not have more than one angle of symmetry.

Answer

The figures that have more than one angle of symmetry are:

Figure 1, Figure 3, Figure 4, Figure 5, and Figure 6.