Rotations and Reflections

Question 1.

Figure X and Figure Y are shown on the coordinate grid below.

Which statement about figures X and Y must be true?

• a series of translations will transform figure X to figure Y, and the figures will be congruent.

• a 180 degree clockwise rotation will transform figure X to figure Y, and the figures will be congruent.

• a series of translations will transform figure X to figure Y, but the figures will not be congruent.

• a 180 degree clockwise rotation will transform figure X to figure Y, but the figures will not be congruent.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Figure Q was the result of a sequence of transformations on figure P, both shown.

Which sequence of transformations could take figure P to figure Q?

• reflection over the x-axis and translation 7 units right

• reflection over the y-axis and translation 3 units down

• translation 1 unit right and 180⁰ rotation about the origin

• translation 4 units right and 180⁰ rotation about the origin

Tags

CCSS.8.G.A.3

Square PQRS and TUVW are show below.

Which sequence of transformations of square PQRS shows that square PQRS is congruent to square TUVW?

• a translation 2 units up and 2 units to the right, then a reflection over the x-axis

• a translation 2 units up and 2 units to the right, then a reflection over the y-axis

• a translation 2 units down and 2 units to the left, then a reflection over the x-axis

• a translation 2 units down and 2 units to the left, then a reflection over the y-axis

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Triangle F and triangle G are shown below.

Which sequence does NOT transform triangle F to triangle G?

• a 180⁰ clockwise rotation about the origin

• a 180⁰ counterclockwise rotation about the origin

• a reflection over the x-axis and then a reflection over the y-axis

• a reflection over the y-axis and then a 90⁰ clockwise rotation about the origin.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

On the coordinate plane below, rectangle ABCD is rotated 90^o clockwise about the origin to form rectangle WXYZ.

Which statement about the relationship between rectangle ABCD and rectangle WXYZ is true?

• 
• 
• 
• 

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Figure L and figure M are shown on the grid below.

Maria wants to transform figure L to figure M using only rotations, reflections, and translations. Which statement is true?

• The transformation can be done with a reflection followed by a rotation.

• The transformation can be done with a reflection followed by a translation.

• The transformation cannot be done because figure L is not congruent to figure M.

• The transformations cannot be done because figures L and M are in different quadrants

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

In which pair of figures can figure A be taken to figure B by a rotation?

• Pair 1

• Pair 2

• Pair 3

• Pair 4

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Lily wants to define a transformation (or series of transformation) using only rotations, reflections, or translations that takes Figure A to Figure B.

Which statement about the transformation that Lily wants to define is true?

• It can be defined by two reflections.

• It can be defined with one rotation and one translation.

• It cannot be defined because Figure A and Figure B are not congruent.

• It cannot be defined because the longest side of Figure B is on the bottom.

Tags

CCSS.8.G.A.3

A parallelogram with vertices at (0, 3), (2, 0), (4, 2), and (2, 5) is reflected over the y-axis. Which vertex of the parallelogram will have the same x-coordinate before and after the reflection?

• (0,3)

• (2,0)

• (4,2)

• (2,5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

In the diagram below, lines MN and JK are parallel and are intersected by line QT.

Which transformation could be used to show that angle MRS is congruent to angle JST?

• reflect angle MRS over the x-axis

• rotate angle MRS about the origin

• translate angle MRS down and to the right

• dilate angle MRS by a scale factor of two with the center at point R

Tags

CCSS.HSG.CO.B.6