8.3C - Dilations on a Coordinate Plane

What is the center of dilation for triangle PQR to create triangle P'Q'R'?

• (0, 0)

• (1, 1)

• (2, 2)

• (3, 3)

If the coordinates of point P are (2, 3), what are the coordinates of point P' after dilation?

• (4, 6)

• (6, 9)

• (8, 12)

• (10, 15)

Which of the following represents the rule for dilation from triangle PQR to triangle P'Q'R'?

• (x, y) → (2x, 2y)

• (x, y) → (3x, 3y)

• (x, y) → (4x, 4y)

• (x, y) → (5x, 5y)

What is the effect of a dilation with a scale factor less than 1?

• The figure enlarges.

• The figure shrinks.

• The figure remains the same.

• The figure rotates.

What is the result of applying the rule (x, y) → (x + 2, y + 2) to a point?

• The point is dilated.

• The point is translated.

• The point is reflected.

• The point is rotated.

Triangle TRW is shown on the coordinate grid. Triangle TRW will be dilated by a scale factor of n with the origin as the center of dilation to create triangle T'R'W'. Which ordered pair best represents the location of point R'?

• (-3n, -5n)

• (3 + n, 5 - n)

• (-3n, 5 - n)

Which rule best represents the dilation that has been applied to triangle JKL to create triangle J'K'L'?

• (x, y) → (x + 6, y - 3)

• (x, y) → (x + 4.5, y + 3)

• (x, y) → (2/5 x, 2/5 y)

• (x, y) → (7/4 x, 7/4 y)

A square with a perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.4 with the origin as the center of dilation. If (x, y) represents the location of any point on the original square, which ordered pair represents the coordinates of the corresponding point on the resulting square?

• (20x, 20y)

• (0.4x, 0.4y)

• (x + 20, y + 20)

• (x + 0.4, y + 0.4)

Polygon A has an area of 27 square meters. Polygon A is dilated by a scale factor of 3 to create Polygon B. What is the area in square meters of Polygon B?

• 243r square meters

• 9r square meters

• 729r square meters

• 81r square meters