Dilations QC 1.6 Review

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape, using a center of dilation and a scale factor.

Front

What is the algebraic rule for a dilation with a scale factor of 2?

Back

(x,y) --> (2x, 2y)

Front

If a triangle has vertices A(2,0), B(3,-1), and C(-2,-5), what are the coordinates of C' after a dilation by a scale factor of 3?

Back

C' = (-6, -15)

Front

What does the symbol '∼' mean in geometry?

Back

It indicates that two figures are similar.

Front

Which transformation does NOT preserve congruence?

Back

A dilation by a scale factor less than 1.

Front

What is the rule for a rotation of 180 degrees?

Back

(x, y) --> (-x, -y)

Front

What is a scale factor in dilation?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure.

Front

What happens to the coordinates of a point (x,y) when it is dilated by a scale factor of 0.5?

Back

The new coordinates will be (0.5x, 0.5y).

Front

What is the center of dilation?

Back

The point from which the figure is enlarged or reduced.

Front

If a rectangle is dilated by a scale factor of 2, what happens to its area?

Back

The area is multiplied by 4 (2^2).