Transformations That Preserve Congruence

If two figures are congruent, what can you say about their corresponding angles and sides after a transformation?

• They are parallel

• They are not related

• They are equal.

• They are perpendicular

If two figures are congruent, what can you conclude about their areas after a transformation?

• Their areas are not equal.

• Their areas are proportional.

• Their areas are always different.

• Their areas are equal.

Give an example of a real-life scenario where understanding transformations that preserve congruence is important.

• Cooking recipes

• Gardening techniques

• Fashion design

• Architecture and engineering

Identify the transformation from ABC to A'B'C'.

• 90^o clockwise rotation

• 90^o counter clockwise rotation

• Reflection across the y-axis

• Reflection across the x-axis

Does the transformation shown preserve congruence and/or orientation?

• Congruence yes, Orientation yes

• Congruence No, Orientation No

• Congruence No, Orientation yes

• Congruence Yes, Orientation No

Does the transformation shown preserve congruence and/or orientation?

• Congruence yes, Orientation yes

• Congruence No, Orientation No

• Congruence No, Orientation yes

• Congruence Yes, Orientation No

Does the transformation shown preserve congruence and/or orientation?

• Congruence yes, Orientation yes

• Congruence No, Orientation No

• Congruence No, Orientation yes

• Congruence Yes, Orientation No

Which of the following are congruence transformations?

• Rotations

• Translations

• Reflections

• All Three

Which of the following is an acceptable explanation why transformed figures are congruent to the original figures.

• The figures are actually NOT congruent.

• It depends on whether you translated, rotated, or reflected.

• Side lengths and angles measures stay the same when transformed.

• The figures look the same.

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, 5)

• (-5, 3)

• (-3, 3)