Symmetries

Determine if the dotted line through this figure is a line of symmetry.

• yes

• no

Answer explanation

What is the name of the given shape and how many lines of symmetry does it have?

• Hexagon with 6 lines of symmetry

• Pentagon with 4 lines of symmetry

• Pentagon with 5 lines of symmetry

• Octagon with 7 lines of symmetry

How many lines of symmetry does this shape have?

• 2

• 4

• 6

• 8

Which statement is true about the number of lines of symmetry in any regular polygon?

• There is only 1 line of symmetry in every polygon

• The number of sides = the number of lines of symmetry

• There are only 3 lines of symmetry in every polygon

• The number of sides is 2 more than the number of lines of symmetry

List the angles of rotation that maps the equilateral triangle onto itself.

• 120°, 240°, 360°

• 180°, 360°

• 90°, 180°, 270°, 360°

List the angles of rotational symmetry that carry the square onto itself.

• 90°, 180°, 270°, 360°

• Just 360°

• 120°, 240°, 360°

List the angles of rotation that carry the figure onto itself.

• 90°, 180°, 270°, 360°

• 72°, 144°, 216°, 288°, 360°.

• 120°, 240°, 360°

If a function has symmetry with respect to the origin and the point (-3, 5) is on the graph, which other point must be on the graph?

• (-5, 3)

• (5, -3)

• (3, -5)

• (-3, 5)

If a function has y-axis symmetry and the point (-2, 7) is on the graph, which other point must be on the graph?

• (-2, -7)

• (2, 7)

• (2, -7)

• (-7, 2)

• i only

• ii only

• i and ii

• No symmetry