Transformations Quiz 1

All of these sequences of transformations would return a shape to its original position except?

• Translate 3 units up, then 3 units down.

• Reflect over line p, then reflect over line p again.

• Translate 1 unit to the right, then 4 units to the left, then 3 units to the right.

• Rotate 120° counterclockwise around center C, then rotate 220° counterclockwise around C again.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Select all the sequences of transformations that could take Figure P to Figure Q.

• a single reflection

• a single rotation

• a single translation

• a translation, then a reflection

• a reflection, then a different reflection

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

Which transformation takes Figure A to Figure B in Pair 1: a translation, rotation, or reflection?

• Translation

• Rotation

• Reflection

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which transformation takes Figure A to Figure B in Pair 2: a translation, rotation, or reflection?

• Translation

• Rotation

• Reflection

Tags

CCSS.8.G.A.3

Which transformation takes Figure A to Figure B in Pair 3: a translation, rotation, or reflection?

• Translation

• Rotation

• Reflection

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Why is Figure B not the image of Figure A after a rotation using center P?

• The shortest side of figure A is the same as the shortest side on Figure B. The shapes are congruent so there was a Rigid Transformation

• Figure B is a translation of Figure A.

• The shortest side of figure A is shorter than the shortest side on Figure B. As the shapes are not congruent they cannot be a Rigid Transformation

• Figure B is a rotation of Figure A.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Why is Figure B not the image of Figure A after a reflection using line ℓ?

• Figure B is a translation of Figure A.

• The angles in Figure B do not correspond with Figure A so it cannot be a reflection.

• Figure B is a dilation of Figure A.

• The angles in Figure B correspond with Figure A so it is a reflection

Tags

CCSS.8.G.A.3

Point A is located at coordinates (−4, 3). What are the coordinates of Point B, the image of A after a rotation of 180° using (0, 0) as center?

• (4, -3)

• (-4, -3)

• (4, 3)

• (-3, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Point A is located at coordinates (−4, 3). Mark the new points on the grid above then answer with the coordinates of each point. What are the coordinates of Point C, the image of A after a translation two units to the right, then a reflection using the x-axis?

• (-2, -3)

• (-2, 3)

• (-6, -3)

• (-6, 3)

Tags

CCSS.8.G.A.3