Congruent Figures Transformations

Having the same size, shape, and measure.

• similar

• corresponding

• congruent

• equal

Determine where X' would be if you translated the figure 3 units to the left and 9 units down.

• (-4, 4)

• (-10, 2)

• (-4, -5)

• (-1, 5)

Which answer shows a reflection across the x-axis?

• d

• c

• b

• a

How would you translate point P to P'?

• Translate 2 units to the right and  8 units down

• Translate 3 units down and 2 units to the right

• Translate 4 units down and 4 units to the left

• Translate 8 units to the right and 2 units down

Determine if the two figures are congruent by using transformations. If so, explain the transformation or transformations that map the first figure onto the second figure.

• congruent; a clockwise rotation of 90° followed by a translation

• congruent; a counterclockwise rotation of 90° followed by a translation

• congruent; a reflection followed by a translation

• not congruent

How is triangle ABC being translated to triangle A'B'C'?

• up 3, left 8

• up 9, left 4

• down 3, right 8

• down 9, right 4

In a translation, the preimage and image are ___________.

• congruent

• similar

• different

• red

What axis is the image reflected over?

• X-axis

• Y-axis

What sequence of transformations will get you from shape 1 to shape 3 in two steps?

• Reflection, then Translation

• Translation, then Rotation

• Reflection, then Rotation

• Rotation, then Translation

Are the following similar? Why or why not?

• Yes. All pairs of corresponding angles are congruent.

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.