Symmetry and Reflections

Which of the following letters does not have a line symmetry, but has a rotational symmetry:

• H

• I

• Z

• X

For this equilateral triangle, what is the order and degree of rotation?

• order 3, degrees 120°

• order 2, degrees 180°

• order 4, degrees 90°

• order 6, degrees 60°

Which letter does not have point symmetry?

• I

• O

• T

• S

B(-2, -4)
Reflect over the line y = x

• (2, -4)

• (-4, 2)

• (-4, -2)

• (4, 2)

Tell whether the shaded figure is a reflection of the nonshaded figure.

• Yes

• No

Which diagram shows a reflection across the x-axis?

• D

• C

• B

• A

True or False: When a point is reflected across a line of symmetry, it remains the same distance from that line.

• True

• False

What is the Algebraic Notation for this Reflection?

• (x, y) → (y, x)

• (x, y) → (-x, y)

• (x, y) → (-y, -x)

• (x, y) → (x, -y)

∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?

• S'(3, 7)

• S'(-3, 7)

• S'(-3, -7)

• S'(3, 7)

What is a reflection?

• When you turn an object around a point.

• When you slide an object form one place to another.

• When you flip or mirror an object across a line.

• When you resize an object.