Mapping a Figure Onto Itself

A rhombus is graphed on the set of axes.

Which transformation would carry the rhombus onto itself?

• 180° rotation counterclockwise about the origin

• reflection over the line y = 1/ 2 x + 1

• reflection over the line y = 0 (x-axis)

• reflection over the line x = 0 (y-axis)

A regular decagon is rotated n degrees about its center, carrying the decagon onto itself. The value of n could be

• 10

• 150

• 225

• 252

Which transformation would not carry a square onto itself?

Draw a square on the coordinate plane to help you.

• a reflection over one of its diagonals

• a 90° rotation clockwise about its center

• a 180° rotation about one of its vertices (corner point)

• a reflection over the perpendicular bisector of one side

Which regular polygon has a minimum rotation of 45° to carry the polygon onto itself?

• octagon

• decagon

• pentagon

• hexagon

In the diagram above of right triangle AED, BC II DE. Which is always true?

• 1

• 2

• 3

• 4

• 3

• 5

• 2

• 7