Unit 1 Test- Rigid Transformations

Trent draws a triangle with one interior angle measuring 34°. Which angle measures could be the measures of the other two interior angles in Trent’s triangle?

• 46° and 90°

• 53° and 127°

• 66° and 80°

• 68° and 68°

Tags

CCSS.8.G.A.5

Line segment CD is graphed on a coordinate plane. The line segment is reflected over the x-axis and then rotated 90° clockwise about the origin to create line segment EF. Which statement is always true about line segment EF?

• Line segment EF is congruent to line segment CD.

• Line segment EF is perpendicular to line segment CD.

• Line segment EF is one-half the length of line segment CD.

• Line segment EF is twice the length of line segment CD.

Tags

CCSS.8.G.A.3

Quadrilateral ABCD is graphed on a coordinate plane, with points C plotted at (-4, 3). Quadrilateral ABCD is then reflected over the y-axis to create its image. A’B’C’D’. After the reflection, what are the coordinates of point C’?

• (4, 3)

• (4, -3)

• (-4, 3)

• (-4, -3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Triangle XYZ and its congruent image triangle X’Y’Z’ are shown on the coordinate plane. Describe a sequence of transformations that maps triangle XYZ onto triangle X’Y’Z’. Fully explain your answer.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Trapezoid RSTU and trapezoid NMLK shown on the coordinate plane are congruent. Which sequence of transformations will map trapezoid RSTU onto trapezoid NMLK?

• A reflection over the y-axis, then a translation 1 unit to the right.

• A reflection over the x-axis, then a translation 1 unit to the left.

• A reflection over the y-axis, then a translation 1 unit down.

• A reflection over the x-axis, then a translation 1 unit up.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Figure M and its congruent image, figure N, are graphed on the coordinate plane. Describe a sequence of transformations that will take figure M onto its congruent, image figure N. Fully explain your answer.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Triangle A and triangle B are graphed on the coordinate plane. Which sequence of transformations will map A onto its congruent image, triangle B?

• A reflection over the x-axis, then a reflection over the y-axis.

• A translation 8 unit down, then a reflection over the y-axis.

• A reflection over the x-axis, then a translation 6 units to the left.

• A rotation 90° clockwise about the origin, then a translation 6 units to the left.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Triangle ABC goes through a series of three transformations, resulting in triangle A’B’C’. The three transformations are listed:

1) a rotation 180 degrees clockwise about the origin,

2) a reflection over the x-axis,

3) a reflection over the y-axis.

Triangle ABC has vertex A located at (2, -3). Using the coordinates of this point, explain how the three transformations map vertex A onto vertex A’. Fully explain your answer.

Tags

CCSS.8.G.A.3

On the coordinate plane, rectangle ABCD is rotated 90° clockwise about the origin to form rectangle WXYZ. Which statement about the relationship between rectangle ABCD and rectangle WXYZ is true?

• Line segment DA is congruent to line segment YZ.

• Line segment DC is congruent to line segment XY.

• Line segment BC is congruent to line segment YZ.

• Line segment AB is congruent to line segment WX.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Which set of angle measures could be the interior angles of a triangle?

• 90°, 90°, 90°

• 80°, 80°, 200°

• 40°, 50°, 60°

• 15°, 30°, 135°

Tags

CCSS.8.G.A.5