Dilation Scale Factor Congruency

Translation are always _______

• Congruent

• Bigger

• Smaller

• Rotated

Which term means the same shape, but different in size?

• Congruent

• Similar

• Scale Factor

• Prime Image

Dilations keep

• both congruence and orientation

• only congruence

• only orientation

• neither

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)

In the figure above, a dilation from A to A' has occurred. What is the scale factor?

Mathematical Equivalence

ON

What is the rule for the dilation pictured below?

• (x, y) → (½x, ½y)

• (x, y) → (x + 2, y + 2)

• (x, y) → (2x, 2y)

• (x, y) → (2x, 3y)

A'B' is a dilation of AB. Find the coordinates for B'.

• (9, -3)

• (5, -3)

• (7, -3)

• (3, -3)

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

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