Transformation Shapes

Where is the center of rotation for a 180° turn that takes X to X' ?

What sequence of transformations could map triangle ABC to triangle A"B"C"?

• A dilation followed by a rotation.

• A translation followed by a reflection.

• A rotation about the origin followed by a translation.

• A reflection followed by a rotation.

Are the following polygons congruent?

• Yes

• No

Rotate the given point (3,-2) 180° around the origin.

Figure B is the image of Figure A when reflected across line ℓ. Are Figure A and Figure B congruent?

• Yes, they are congruent.

• No, they are not congruent.

Describe a rigid transformation that takes Polygon A to Polygon B. Select all that apply.

• Reflect Polygon A over y-axis, then reflect Polygon A over x-axis

• Reflect Polygon A over x-axis then reflect Polygon A over y-axis

• Translate Polygon A 5 units, then reflect Polygon A over x-axis

• Rotate Polygon A 180 degrees around (0,0)

• Rotate Polygon A 90 degrees around (0,0)

Which have the same area and the same perimeter as Rectangle R?

• A

• B

• C

• D

• E

Which rectangles are congruent?

• R, A, and E

• B and C

• D and F

• A, B and C

• D, E, and F

Are the shapes congruent?

• Yes

• No

Which of these rectangles have the same area as Rectangle R but different perimeter?

• A

• B

• C

• D

• E