STAAR Dilations

Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the center of dilation using the rule (x, y)→(1/4x, 1/4y) to create pentagon M'N'P'Q'R'.

Which statement is true?

• Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is greater than 1.

• Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is less than 1.

• Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is less than 1.

• Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is greater than 1.

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

Triangle JKL is dilated with the origin as the center of dilation to create triangle J'K'L'.

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

• (x, y)→(x + 6, y - 3)

• (x, y)→(x + 4.5, y + 3)

• (x, y)→(1/2x, 1/2y)

• (x, y)→(7/4x, 7/4y)

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 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)

Triangle MNP is graphed on a coordinate grid with vertices at M(-3, -6), N(0, 3) and P(6, -3). Triangle MNP is dilated by a scale factor of u with the origin as the center of dilation to create triangle M'N'P'.

Which ordered pair represents the coordinates of the vertex P'?

• (6 + u, -3 + u)

• (6/u, 3/u)

• (6 + 3/u, -3 + 1/u)

• (6u, -3u)

Quadrilateral FGHJ was dilated with the origin as the center of dilation to create quadrilateral F'G'H'J'.

Which rule best represents the dilation that was applied to quadrilateral FGHJ to create quadrilateral F'G'H'J'?

• (x, y)→(5/7x, 5/7y)

• (x, y)→(x + 1, y + 2)

• (x, y)→(1.4x, 1.4y)

• (x, y)→(x - 2, y + 1)

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?

• (x, y)→(3/8x, 3/8y)

• (x, y)→(8/3x, 8/3y)

• (x, y)→(x + 5, y + 5)

• (x, y)→(x - 5, y - 5)

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?

• (x, y)→(2x, 2y)

• (x, y)→(4x, 4y)

• (x, y)→(1/2x, 1/2y)

• (x, y)→(1/4x, 1/4y)

Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D'.

Which rule best represents the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D'?

• (x, y)→(0.4x, 0.4y)

• (x, y)→(x + 3, y + 1.5)

• (x, y)→(2.5x, 2.5y)

• (x, y)→(x - 1.5, y + 3)