ACC Unit 7 Review

Which transformation to triangle XYZ would not preserve its size and shape?

• Translation of (x+3, y-4)

• Reflection over y = x

• Rotation 90^o counterclockwise about the origin

• Dilation with a scale factor of 5

Triangle XYZ has vertices at X(2,3), Y(5,6), and Z(6,2). If XYZ is translated five units down and three units right to create triangle ABC, what will the coordinates of ABC be?

• A(5,-2), B(8,1), C(9,-3)

• A(9,-3), B(5,-2), C(8,1)

• A(-3,6), B(0,9), C(1,5)

• A(-1,8), B(2,11), C(3,7)

In the image of trapezoid ABCD, the x-axis bisects the legs and the y-axis bisects the bases. What transformation(s) will map ABCD onto itself?

• A 180 degree rotation about the origin

• A reflection across the x-axis

• A reflection across the y-axis

• A reflection across a line connecting vertices A and D

• A 90 degree clockwise rotation about the origin

Which statement about rigid transformations is true?

• When reflecting across a line, the line of reflection is a perpendicular bisector to a segment connecting any point to its reflected point.

• When translating, all segments connecting a point to its translated point are perpendicular.

• In a rotation, the points of the pre-image are never the same distance away from the center of rotation as the corresponding points of the image.

• When translating, the segments connecting a point to its translated point will not be the same length.

Quadrilaterals ABCD and A'B'C'D' are shown on the coordinate plane.

Which transformation or sequence of transformations would result in ABCD being mapped on A'B'C'D'? Select all that apply.

• A 180 degree rotation about the origin

• A reflection across the x-axis followed by a reflection across the y-axis

• A reflection across the y-axis followed by a translation up four units

• A 270 degree counterclockwise rotation about the origin

Quadrilaterals ABCD and A'B'C'D' are shown on the coordinate plane.

Quadrilateral ABCD will be rotated 90 degrees counterclockwise about the origin and then reflected about the x-axis to create quadrilateral EFGH. What will the x-coordinate of H be?

• 2

• -1

• -2

• 1

Lisa needs to transform rectangle LMNO while preserving the length of each side. Which transformation(s) could she do? Select all that apply.

• Rotate 270 degrees clockwise about the origin

• Reflect across the y-axis

• Reflect across the line y = 2x + 1

• Dilate by a scale factor of 2

What transformation or sequence of transformations could map ΔABC onto ΔXYZ?

• Reflection across the x-axis and reflection across the y-axis.

• 180 degree rotation about the origin.

• Reflection across the x-axis and translation along the vector <-5,0> (shifted left five units).

• 90 degree clockwise rotation and translated along the vector <-4,1> (shifted left four units and up one unit).

Rectangle WXYZ has its center at the origin. Which transformation could map WXYZ onto itself? Select all that apply.

• Reflection across the x-axis.

• 180 degree rotation.

• 90 degree counterclockwise rotation.

• Translation up two units.

• Reflection across the y-axis.

ΔLMN has vertices L(1,5), M(3,6), N(8,0). ΔLMN is translated using the rule (x, y) → (x - 3, y + 5) and then reflected across the line y = x to create ΔL'M'N'. What is the coordinate of M'?

• (11,0)

• (0,11)

• (6,1)

• (1,6)

• (-6,-1)