Translation of Quadrilaterals

Which option involves a translation 14 units up?

• Option A: A 45° counterclockwise rotation about the origin and then a translation 10 units down.

• Option B: A 180° rotation about the origin and then a translation 14 units up.

• Option C: A 90° clockwise rotation about the origin and then a translation 14 units up and 18 units left.

• Option D: A 270° counterclockwise rotation about the origin and then a translation 14 units up.

Shape A is congruent to shape F because a 180° rotation about the origin and then a translation 1 unit right maps shape A onto it.

• Shape F is the result of transforming shape A.

• Shape F is larger than shape A.

• Shape F is a different shape than shape A.

• Shape F is rotated 90° from shape A.

Translation involves moving shape I up by a certain number of units.

• 1 unit

• 2 units

• 3 units

• 4 units

Sequence of transformations applied to shape I that proves similarity to shape II.

• A translation 5 units left and 2 units down, followed by a dilation by a scale factor of 2.

• A translation 5 units right and 1 unit up, and then a dilation by a scale factor of 0.5.

• A rotation of 90 degrees clockwise and a dilation by a scale factor of 1.

• A translation 3 units right and 4 units up, followed by a dilation by a scale factor of 1.5.

The x-axis is horizontal on the coordinate grid.

• The y-axis is horizontal on the coordinate grid.

• The y-axis is vertical on the coordinate grid.

• The x-axis is vertical on the coordinate grid.

• The x-axis is diagonal on the coordinate grid.

Graph showing square ABCD on a coordinate plane. Paige dilates the logo by a scale factor of 2, forming square A'B'C'D'. She further dilates this transformed square by a scale factor of 3 to form A''B''C''D''. What are the coordinates of vertex A' and vertex C''?

• A'(-10, -4) and C''(-6, -8)

• A'(-10, -4) and C''(-18, -24)

• A'(-30, -12) and C''(-18, -24)

• A'(-20, -8) and C''(-12, -16)

Which option involves a translation 2 units left?

• Option A: A reflection across the y-axis and then a translation 2 units left.

• Option B: A translation 2 units right and then a reflection across the x-axis.

• Option C: A rotation 90 degrees clockwise followed by a translation 2 units left.

• Option D: A translation 2 units up and then a reflection across the y-axis.

What is the translation in option D?

• 18 units up and 2 units left after a 180° rotation about the origin.

• 10 units down and 5 units right after a 90° rotation about the origin.

• 5 units up and 3 units left after a 270° rotation about the origin.

• 12 units down and 4 units right after a 180° rotation about the origin.

The transformation sequence involves both horizontal and vertical movements.

• The scale factor in dilation determines how much larger or smaller the shape becomes.

• The transformation sequence only involves horizontal movements.

• The transformation sequence only involves vertical movements.

• The scale factor in dilation has no effect on the shape.

Dilation involves changing the size of shape I by a scale factor.

• 0.5

• 1.2

• 1.5

• 2