Congruent Figure

Which two figures are congruent?

• Figures A and B

• Figures A and C

• Figures A and D

• Figures C and D

• Left 6, up 5

• Left 6, down 5

• Right 6, up 5

• Right 6, down 5

Describe the transformation that maps RSTU onto R'S'T'U'.

• Reflect over x = 1 and translate 2 units down.

• Translate 8 units right and 2 units up.

• Reflect over x = 1 and translate 2 units up.

• Translate 8 units left and 2 units down.

Describe the sequence of transformations that maps Figure A to Figure C.

• Rotate Figure A 180º and then translate it 1 unit left.

• Rotate Figure A 90º and then reflect it over the x-axis.

• Rotate Figure A 90º, reflect if over the x-axis, and then translate it 1 unit down and 1 unit to the left.

• Rotate Figure A 180º and then translate it 1 unit down and 1 unit left.

4m

5m

3m

4.5m

• 4m

• 5m

• 3m

• 4.5m

4m 5m 3m 4.5m

• 4m

• 5m

• 3m

• 4.5m

• Yes. A dilation with center (0,0) and a scale factor of 1/2 maps ABC to ADE.

• Yes. A dilation with center (0,0) and a scale factor of 2 maps ABC to ADE.

• Yes. A translation 2 units up and 4 units right maps ADE to ABC.

• No. ABC is not similar to ADE.

• ∠1 = 30°, m∠2 = 35°

• ∠1 = 35°, m∠2 = 30°

• ∠1 = 65°, m∠2 = 60°

• ∠1 = 85°, m∠2 = 80°

Choose each angle measure that is one of the angles of these similar triangles. Select all that apply.

• 24º

• 51º

• 54º

• 75º

• 81º

Which statement is always true about two congruent polygons?

• Corresponding sides are always congruent.

• Corresponding angles are always right angles.

• Corresponding sides are always parallel.

• They are the same shape but different size.