Geometric Transformations and Notation

Which rule would result in a translation of 2 units left and 3 units up?

• (x, y) → (2x, 3y)
• (x, y) → (x - 2, y + 3)
• (x, y) → (-x, -y)
• (x, y) → (x + 2, y - 3)

A transformation that “turns” a figure about the origin and a given direction, 90 degrees clockwise

• (-x, -y)
• (y, -x)
•  (-y, x)
• (x, -y)

G(-4,1),.....After a translation of 3 units down and 5 units right

• G’(-1,6)
• G’(1, -2)

Triangle ABC has vertices A(5,2).  Find the coordinates of ABC after a reflection over the x-axis.

• A’ (5, -2)
• A’(-5, 2)
• A’(-5, -2)
• A' (5, 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

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

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