Algebraic Representation of Dilation

Which of the following algebraic rules represents a dilation?

• (x, y) --> (3x, 3y)

• (x, y) --> (3x, 2y)

• (x, y) --> (x - 3, y + 5)

• (x, y) --> (0.5x, 0.5y)

• (x, y) --> (3x, 0.5y)

Which algebraic representation shows this dilation?

• (x, y) --> (2x, 2y)

• (x, y) --> (0.5x, 0.5y)

• (2x, 2y) --> (x, y)

• (x, y) --> (3x, 2y)

Triangle A’B’C’ is the dilation of triangle ABC.

Which algebraic representation shows this dilation?

• (x, y) --> (2x, 2y)

• (x, y) --> (1/3x, 1/3y)

• (x, y) --> (3x, 3y)

• (x, y) --> (x + 3, y - 3)

Triangle A’B’C’ is the dilation of triangle ABC.
Which algebraic representation shows this dilation?

• (x, y) --> (1/2x, 1/2y)

• (x, y) --> (2x, 2y)

• (x, y) --> (x + 1/2, y)

• (x, y) --> (1/2x, y)

Circle I was dilated with the origin as the center of dilation to create Circle II. Which rule best represents the dilation applied to Circle I to create Circle II?

Tags

TEKS 8.3C

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)

What is the rule for the dilation pictured?

• (x, y) → (½x, ½y)

• (x, y) → (x + 2, y + 2)

• (x, y) → (2x, 2y)

• (x, y) → (2x, 3y)

Figure S, the small arrow, was dilated with the origin as the center of dilation to create Figure T, the large arrow. Which rule best represents the dilation that was applied to Figure S to create Figure T?

Tags

TEKS 8.3C

Triangle A’B’C’ is the dilation of triangle ABC.

Which algebraic representation shows this dilation?

• (x, y) --> (1/2x, 1/2y)

• (x, y) --> (2x, 2y)

• (x, y) --> (x + 1/2, y)

• (x, y) --> (1/2x, y)

Which of the following algebraic rules represents an enlargement?

• (x, y) --> (3x, 3y)

• (x, y) --> (0.5x, 0.5y)

• (x, y) --> (0.75x, 0.75y)

• (x, y) --> (0.999x, 0.999y)

• (x, y) --> (5x, 5y)