Quadrilateral on the Coordinate Grid

Norman drew three points on a coordinate grid, as shown. If Norman draws a fourth point to form a parallelogram , which point could NOT be Norman's point ?

• ( 5,5 )

• ( 1,-1 )

• ( -1,3 )

• ( 2, -2 )

Quadrilateral _pqrs has vertices _{p(1,3) , Q(1,-4) , R(-6,-4)} and  _S(-2,3). Which of the following terms best describes quadrilateral _{PQRS ? (This is the one to do on graph paper and hand in!)}

• Square

• Rhombus

• Rectangle

• Trapezoid

Find the area of the parallelogram.

• 12 units²

• 10 units²

• 13 units²

• 6 units

Which of the coordinates given could be the fourth point used to form a rectangle?

• (3, -6)

• (-3, -6)

• (-6, 3)

• (4, -6)

• A reflection across the x-axis

• A reflection across the y-axis

• A 90 degree clockwise rotation around the origin

• A 180 degree clockwise rotation around the origin

The coordinate grid shows parallelogram PQRS.

Parallelogram PQRS is rotated 90 degrees clockwise around the origin to create parallelogram P'Q'R'S'. Which rule describes this transformation?

The coordinates of the vertices of a quadrilateral are P(1, 2), R(1, 4), S(3, 4), T(4, 2). Quadrilateral PRST is reflected across the y-axis to create P'R'S'T'. Which rule describes this transformation?

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?

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'?

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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 F'G'H'J'?

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