Transformations on the Coordinate Plane

The graph shows quadrilateral ABCD. Quadrilateral ABCD is reflected over the x-axis and then translated 6 units to the right to form quadrilateral A'B'C'D'. What are the coordinates of D'?

• (−7, 2)

• (7, −2)

• (4, 1)

• (5, 2)

Tags

CCSS.8.G.A.3

Given: △DEF is located on the coordinate plane. ∠D measures 136°. If the triangle is rotated 90° counterclockwise about the origin to form △D'E'F', what is the measure of ∠D'?

• 46°

• 90°

• 136°

• 226°

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The vertices of quadrilateral ABCD are located at (−7, 3), (−7, 5), (−5, 5), and (−5, 3). Which coordinates are the vertices of image A'B'C'D' after ABCD has been rotated 270° counterclockwise about the origin?

• (−3, −7), (−5, −7), (−5, −5), (−3, −5)

• (7, −3), (7, −5), (5, −5), (5, −3)

• (7, 3), (7, 5), (5, 5), (5, 3)

• (3, 7), (5, 7), (5, 5), (3, 5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Triangle ABC is rotated 90° clockwise around the origin, resulting in △A'B'C'. What are the coordinates of B'?

• (−4, −3)

• (−3, −4)

• (3, 4)

• (4, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Alice drew two triangles on the coordinate plane as shown. Which series of transformations proves the two triangles are congruent?

• Reflect triangle ABC across the x-axis, followed by a translation 5 units left.

• Reflect triangle ABC across the x-axis, followed by a reflection over the y-axis.

• Rotate triangle ABC 180 degrees counterclockwise with the center of rotation at point (0, 0), followed by a translation 2 units down.

• Rotate triangle ABC 90 degrees counterclockwise with the center of rotation at point (0, 0), followed by a reflection across the x-axis.

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

Consider the angle measures of trapezoid QRST. If trapezoid QRST is graphed on the coordinate plane and reflected across the y-axis to form trapezoid WXYZ, which two statements are true?

• The measure of angle W is 90°.

• The measure of angle W is 117°.

• The measure of angle X is 63°.

• The measure of angle X is 90°.

• The measure of angle Z is 90°.

Tags

CCSS.HSG.CO.B.6

Two parallel lines are graphed on a coordinate plane. Line 1 contains the points A(1,2) and B(4,5).

Line 2 contains the points C(2,1) and D(5,4). After each transformation,

in what quadrant will the points A', B', C', and D' be located, and will image A'B' be parallel to image C'D'?

• Quadrant II; Parallel

• Quadrant IV; Parallel

• Quadrant I; Parallel

• Quadrant I; Not Parallel

• Quadrant III; Parallel

Tags

CCSS.HSG.CO.A.2

Two parallel lines are graphed on a coordinate plane. Line 1 contains the points A(1,2) and B(4,5).

Line 2 contains the points C(2,1) and D(5,4). After each transformation,

in what quadrant will the points A', B', C', and D' be located, and will image A'B' be parallel to image C'D'?

• Quadrant II; Parallel

• Quadrant IV; Parallel

• Quadrant I; Parallel

• Quadrant I; Not Parallel

• Quadrant III; Parallel

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Two parallel lines are graphed on a coordinate plane. Line 1 contains the points A(1,2) and B(4,5).

Line 2 contains the points C(2,1) and D(5,4). After each transformation,

in what quadrant will the points A', B', C', and D' be located, and will image A'B' be parallel to image C'D'?

• Quadrant II; Parallel

• Quadrant IV; Parallel

• Quadrant I; Parallel

• Quadrant I; Not Parallel

• Quadrant III; Parallel

Tags

CCSS.HSG.CO.B.6

Two parallel lines are graphed on a coordinate plane. Line 1 contains the points A(1,2) and B(4,5).

Line 2 contains the points C(2,1) and D(5,4). After each transformation,

in what quadrant will the points A', B', C', and D' be located, and will image A'B' be parallel to image C'D'?

• Quadrant II; Parallel

• Quadrant II; Not Parallel

• Quadrant I; Parallel

• Quadrant I; Not Parallel

• Quadrant III; Parallel