Congruence and Orientation on Transformation on Coordinate Plane

It has a center, an angle, and a direction. It moves every point of a figure in a circle around the center clockwise or counterclockwise, and for a distance specified by the angle.

• Reflection

• Translation

• Rotation

• Dilation

A move, or combination of moves, is called

• Translation

• Image

• Rotation

• Transformation

Orientation is preserved when a two-dimensional figure is transformed and the image is identical in shape and direction.

• Similar Shape

• Property of Orientation

• Scale Factor

• Property of Congruence

Describe the translation from the red figure to the blue figure.

The red figure is translated 5 units ​ (a)   then 2 units ​ (b)   .

• left

• right

• down

• up

Starting at the original point (−2,15), choose the correct coordinates after each transformation has been applied.

• (-2, -15)

• Reflect over x-axis

• (2, 15)

• Translate 5 right and 7 down

• (2, -15)

• Rotate 180 degrees around the origin

• (3, 8)

• Reflect over y-axis

Which of these transformations will preserve congruence?

Groups:

(a) Preserves Congruence

,

(b) Does NOT Preserve Congruence

• dilation by a scale factor of 3

• (2x, 2y)

• reflection across the x-axis

• rotation 90 degress clockwise

• reflection across the y-axis

• translation 5 down and 3 up

Complete the rule for each transformation. TYPE YOUR ANSWER WITH ( ) AND NO SPACES!!!!

Translation 3 units right and 2 units down. (x, y) →

Complete the rule for each transformation. TYPE YOUR ANSWER WITH ( ) AND NO SPACES!!!!

Reflection over the y-axis.  (x, y) →

Match each transformation to its algebraic motion rule. 

• (2x, 2y)

• Reflection across the x-axis.

• (y, -x)

• Rotation 180°.

• (x, -y)

• Translation 2 units left and 3 units up.

• (x-2, y+3)

• Dilation with a scale factor of 2.

• (-x, -y)

• Rotation 90° clockwise.

A ___________ is a change in size, position, or location of a figure on the coordinate plane.