Map a Figure Onto Itself

Which figure does not describe a way to map this regular octagon back onto itself?

• Reflect across the x-axis

• Reflect across the y-axis

• Rotate 45 degrees

• Rotate 80 degrees

A regular decagon (10 sides) is mapped onto itself every time it is rotated

• 30

• 36

• 45

• 60

Which of the following figures cannot be mapped onto itself at 90˚

• A

• B

• C

• D

Which of the following figures cannot be mapped onto itself at 120˚

• A

• B

• C

• D

A figure is mapped onto itself when the transformation results in the original pre-image. Identify the transformation that maps the figure onto itself.

• Reflect across the line x = 2

• Reflect across the line y = -4

• Rotate 180^o about the point (2, -4)

• Rotate 180^o about the origin (0, 0)

Which transformation maps the pentagon onto itself?

• a reflection across line m

• a reflection across the x-axis

• a rotation 144 $\degree$ about the origin

A figure has been transformed by undergoing a rotation. Which of the following is true about a point and its preimage?

• Rotated points fall on the perpendicular bisector

• Rotated points fall along an arc of a circle

• Rotated points fall along the line of symmetry

• Rotated points move the same distance in the same direction

As shown in the diagram below, when hexagon ABCDEF is reflected over line m, the image is hexagon A’B’C’D’E’F’.

Under this transformation, which property is not preserved?

• Area

• Distance

• Orientation

• Angle measure

Identify the transformation that maps triangle ABC to triangle A'B'C'.

• (x,y) $\rightarrow$ (x-18, y+6)

• (x,y) $\rightarrow$ (-x,-y)

• (x,y) $\rightarrow$ (-y,x)

The figures represent which type of transformation?

• Rotate 180 degrees; (x,y) $\rightarrow$ (-x,-y)

• Reflect across the y-axis; (x,y) $\rightarrow$ (-x,y)

• Reflect across the x-axis; (x,y) $\rightarrow$ (x,-y)