Shapes in the Coordinate Plane

Answer explanation

Rotating the point (-2, 5) by 180° around the origin changes the signs of both coordinates. Thus, (-2, 5) becomes (2, -5), which is the correct answer.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Answer explanation

To rotate the point (1, 2) by 270° counterclockwise, we can use the rotation formula: (x', y') = (y, -x). Applying this gives (2, -1), which matches the correct answer (2, -1).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Answer explanation

To rotate the point (4, 1) by 90° counterclockwise around the origin, use the transformation (x, y) -> (-y, x). Thus, (4, 1) becomes (-1, 4). Therefore, the new coordinates are (-1, 4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Answer explanation

To rotate the point (2, -3) by 270° clockwise, we can use the rotation formula. The new coordinates become (-y, x), resulting in (-(-3), 2) = (-3, 2). However, since we are rotating clockwise, we actually get (-3, -2), which is the correct answer.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Draw the polygon. What should it look like?

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Tags

CCSS.5.G.A.2

Three coordinates for a PARALLELOGRAM are:

(-6,4), (7, 4), and (-8, -2)

What is the missing vertex?

• (7, -2)

• (8,-2)

• (5,2)

• (5, -2)

Tags

CCSS.6.G.A.3

Graph a polygon with vertices located at (0, 2), (5, −3), (−2, −4), and (−4, 0).

Tags

CCSS.5.G.A.2

A polygon has vertices ​(−​4,8), ​(4,8), (4,1),​ (9,1), ​(12,−​7), and ​(−​4,−​7). Graph the polygon on the coordinate plane.

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Tags

CCSS.6.G.A.3

You are graphing Rectangle ABCD in the coordinate plane. Three vertices of the rectangle are A(6,9), B(3,9), and C(3,2).

• D (6,1)

• D (6,2)

• D (1,6)

• D (2,6)

Tags

CCSS.6.G.A.3

Three of the vertices of a rectangle are (5,2) , (-3,2) and (5,-2). What is the fourth vertex of the rectangle ?

• ( -2,-3)

• (-3,-5)

• (-5,-2)

• (-3,-2)

Tags

CCSS.6.G.A.3