Congruence and Orientation on Transformation on Coordinate Plane

Reflections keep

• both congruence and orientation

• only congruence

• only orientation

• neither

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

Tell whether the two figures are congruent.

• Yes, same size and same shape

• No, same shape but different sizes

• No, different size and different shapes

Congruent geometric figures have the:

• Same size

• Sides Equal

• Same Size and Same Shape

• Angles Equal

Congruence

• when a shape is enlarged

• when two figures are the same size and same shape

• when the rotation moves two quadrants

Reflection

• a transformation that produces a mirror image of the original figure over a line of

• a transformation that rotates clockwise or counterclockwise

• when a scale is less than 1

Which of the following transformations does NOT preserve congruence?

• (x,y)----- > (5/2 x, 5/2 y)

• (x,y)----- > (-x, y)

• (x,y)----- > (-y , x)

• (x,y)----- > (x + 3, y - 2)

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

A shape is transformed with the following algebraic rule.  (x,y)→(x-5,y) Which of the following statements is true. 

• The image maintains the preimage's orientation only

• The image maintains the preimage's congruence only

• The image maintains the preimage's orientation & congruence

• The image doesn't maintain the preimage's orientation or congruence

A shape is transformed with the following algebraic rule.  (x,y)→(x,-y) Which of the following statements is true. 

• The image maintains the preimage's orientation only
• The image maintains the preimage's congruence only
• The image maintains the preimage's orientation & congruence
• The image doesn't maintain the preimage's orientation or congruence