Symmetry

Which angle of rotation is an angle of rotational symmetry for all figures?

d. 360°

Which type of triangle will always have exactly 1-fold reflectional symmetry?

d. isosceles triangle

Which figure has the same order of rotational symmetry as a rectangle?

d. rhombus

How many lines of reflectional symmetry does an equilateral triangle have?

3

What is the smallest angle of rotational symmetry for a square?

90°

Which statements are true about the lines of symmetry of a regular pentagon? Check all that apply.

Every line bisects a vertex angle. Every line bisects a side. Every line is perpendicular to a side.

Which letter in the word HAPPY has an order 2 rotational symmetry?

a. H

Which triangle has 0 reflectional symmetries?

a. triangle 1

What is the order of rotational symmetry for a rhombus?

b. 2

Which figure has an order 3 rotational symmetry?

b. equilateral triangle

If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?

c. 20

Which set of side lengths represents a triangle with 3 lines of reflectional symmetry?

c. 5, 5, 5

A regular polygon has 15 sides. Which is a possible angle of rotational symmetry for the figure?

c. 72°

Which figure shows a line of reflectional symmetry for the letter T?

c. Figure C

How can a regular hexagon be folded to shown that it has reflectional symmetry?

c. Fold the hexagon along a line that bisects two vertex angles.

If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisector a, then which statement would be true?

c. The figure must be a rhombus because it has exactly 2 pairs of congruent angles.