End of unit - rigid transformation

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

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Select all the pairs where Figure H is the image of Figure G after a reflection, rotation, or translation.

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

• Translate 5 units right, then 5 units down.

• Translate 3 units down, then 2 units up, and then 1 unit down.

• Rotate 120 counterclockwise around center C, then rotate 240 clockwise around C again.

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

Point A is located at coordinates (1, -3). Point B is the image of A after a reflection using the y-axis, then a translation of three units to the left.

What are the coordinates of point B?

(a)  

Point A is located at coordinates (1, -3). Point C is the image of A after a reflection using the x-axis, then a translation of four units to the right.

What are the coordinates of point C?

(a)  

Point A is located at coordinates (1, -3). Point D is the image of A after a rotation of 180 about (0, 0).

What are the coordinates of point D?

(a)  

Here is a pairs of figures. Which transformation takes Figure A to Figure B?

(a)  

Here is a pairs of figures. Which transformation takes Figure A to Figure B?

(a)  

Here is a pairs of figures. Which transformation takes Figure A to Figure B?

(a)  

Describe a sequence of transformations that takes Figure Q to Figure P.

(a)