Review for Transformations/Rigid Motions

On the set of axes below, pentagon ABCDE is congruent to A"B"C"D"E. Which describes a sequence of rigid motions that maps ABCDE onto A"B"C"D"E?

• (1) a rotation of 90° counterclockwise about the origin followed by a reflection over the x-axis

• (2) a rotation of 90° counterclockwise about the origin followed by a translation down 7 units

• (3) a reflection over the y-axis followed by a reflection over the x-axis

• (4) a reflection over the x-axis followed by a rotation of 90° counterclockwise about the origin

• 1) a rotation

• 2) a dilation

• 3) a translation

• 4) a glide reflection

• 1) a line reflection over y = x

• 2) a rotation of 180° centered at (1,0)

• 3) a line reflection over the x-axis followed by a translation of 6 units right

• 4) a line reflection over the x-axis followed by a line reflection over y = 1

What transformation do you do first in this composition of rigid motions?

Quadrilaterals BIKE and GOLF are graphed on the set of axes below. What is a sequence of transformations that maps quadrilateral BIKE onto quadrilateral GOLF.

• Reflection across the y-axis, then translation up 5.

• Reflection across the x-axis, then a translation down 5.

• Reflection across the y-axis, then a translation down 5.

• Reflection across the x-axis, then a translation up 5.

Trapezoids ABCD and A"B"C"D" are graphed on the set of axes below. What are the transformations that maps trapezoid ABCD onto trapezoid A"B"C"D".

• rotation 90º about the origin and translation 2 units down

• rotation 180º about the origin and translation 2 units down

• rotation 90º about the origin and translation 4 units down

• rotation 180º about the origin and translation 4 units down

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  What are the coordinates of the image of P(-9,5) after a reflection over           

the x-axis?

• P'(9,5)

• P'(9,-5)

• P'(-9,-5)

• P'(-9,5)

• (2,-3)

• (2,3)

• (-2,-3)

• (-2,3)

• (-6,-5)

• (-5,-6)

• (-6,5)

• (5,6)