Staar Released Questions Over Transformations

Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated 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 smaller than pentagon MNPQR, because the scale factor is greater than 1.

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

A polygon will be dilated on a coordinate grid to create a smaller polygon. The polygon is dilated using the origin as the center of dilation. Which rule could represent this dilation?

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Triangle JKL is dilated with the origin as the center of dilation to create J'K'L'. Which rule best represents the dilation that has been applied to triangle JKL to create triangle J'K'L'?

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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 which 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)

Circle I is dilated to create Circle II.  Which could be the scale factor of the dilation?

• 5
• 3/8
• 8
• 8/3

Figure S is dilated to create Figure T.  Which could be the scale factor of the dilation?

• (x, y)→(2x, 2y)
• (x, y)→(1/2 x, 1/2 y)
• (x, y)→(3x, 3y)
• (x, y)→(4x, 6y)

Which representation of a transformation on a coordinate grid does NOT preserve congruence?

• (x, y)→(1/7x, 1/7y)

• (x, y)→(x+7, y+7)

• (x, y)→(x, -y)

• (x, y)→(y, -x)

Quadrilateral PQRS was translated 5 units to the right and 3 units up to create quadrilateral P'Q'R'S'. Which rule describes this transformation?

• (x, y)→(x-5, y-3)

• (x, y)→(x+5, y+3)

• (x, y)→(x-3, y-5)

• (x, y)→(x+3, y+5)

A circle is graphed on a coordinate grid and then reflected across the y-axis. If the center of the original circle was located at (x,y), which ordered pair represents the rule for this transformation?

• (x,y) -> (x,y)

• (x,y) -> (x,-y)

• (x,y) -> (-x,y)

• (x,y) -> (-x,-y)

Triangle ABC was translated 2 units to the right and 3 units down to create triangle A'B'C'. Which rule describes the translation that was applied to triangle ABC to create triangle A'B'C'?

• (x, y)→(x-3, y+2)

• (x, y)→(x+2, y-3)

• (x, y)→(2x, -3y)

• (x, y)→(-3x, 2y)