Transformations and Symmetry

How many lines of symmetry does this shape have?

• 1

• 2

• 3

• 4

Point (-5,2) is reflected over the y axis.  Where is the new point located?

• (5,2)

• (-5,-2)

• (-5,2)

• (5,-2)

C(-6, 2) and B(-1, -1)
Reflect over the line y = x

• C' (-6, 2), B' (-1, -1)

• C' (6, 2), B' (1, -1)

• C' (2, -6), B' (-1, -1)

• C' (-6, -2), B' (-1, -1)

• 1

• 2

• 3

• 4

C(-6, 2) and B(-1, -1)
Rotate 90 degrees counterclockwise.

• C' (-6, 2), B' (-1, -1)

• C' (6, 2), B' (1, -1)

• C' (2, -6), B' (-1, -1)

• C' (-2, -6), B' (1, -1)

Describe the rotational symmetry for a regular pentagon.

• A regular pentagon has a central angle of 72° and will map onto itself after rotations of 72°, 144°, 216°, and 288°.

• A regular pentagon has five axes of symmetry.

• A regular pentagon has four-fold rotational symmetry.

• A regular pentagon has a central angle of 45° and will map onto itself after rotations of 45°, 90°, 135°, 180°, 225°, 270°, and 325°.

Isometries, also called rigid transformations, produce ____________ figures.

• parallel

• perpendicular

• congruent

• equal

What single isometry is the result of reflecting triangle EFD over line m and then line k?

• a reflection over the line y = x. 

• a rotation 62 $\degree$ CW about point B

• a translation the distance of 2 times the length of segment EB. 

Sement AB is reflected across two parallel lines that are 5 cm apart. What is the distance between points A and A"?

• 5 cm

• 15 cm

• 10 cm

• Not enough information to tell