Congruence and Orientation

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

What is congruence?

• Same size, different shape

• Same size, same shape

• The way a figure is facing

• Flipping over a line

Which representation of a transformation on a coordinate grid does not preserve congruence?

• (x,y) → (2x,2y)

• (x,y) → (x+3, y-9)

• (x,y) → (-x,y)

• (x,y) → (y,-x)

A transformation is applied to create a new figure. Which transformation does not preserve congruence?

• A reflection across the x-axis

• A translation 4 units up

• A dilation by a scale factor of 5

• A rotation 90° counter clockwise

Match the congruent sides and angles.

• < F

• AC

• < C

• DF

• < E

• < D

• DE

• < A

• BC

• < B

What does congruence mean?

• Two objects are congruent if they are the same size and shape.

• Two objects are congruent if they are NOT the same size and shape.

• Two objects are congruent if they are the same size.

•  Two objects are congruent if they are the same shape.

Yes or No?

• yes

• no

Yes or No?

• yes

• no

Translation are always _______

• Congruent

• Bigger

• Smaller

• Rotated

Congruent geometric figures have the:

• Same size

• Sides Equal

• Same Size and Same Shape

• Angles Equal