Transformational Geometry

A triangle has vertices at A(1, 2), B(3, 4), and C(5, 2). If the triangle is translated 3 units to the right and 2 units up, what are the new coordinates of vertex A?

• (4, 4)

• (3, 5)

• (6, 4)

• (1, 2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A square with vertices at (2, 3), (2, 5), (4, 5), and (4, 3) is reflected over the y-axis. What are the new coordinates of the vertex (4, 5)?

• (-4, 5)

• (4, -5)

• (-4, -5)

• (-4, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A point P(2, 1) is rotated 90 degrees counterclockwise around the origin. What are the new coordinates of point P?

• (1, -2)

• (-1, 2)

• (2, -1)

• (-2, -1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A rectangle has vertices at (1, 1), (1, 3), (4, 3), and (4, 1). If the rectangle is dilated by a scale factor of 2 from the origin, what are the new coordinates of the vertex (1, 1)?

• (4, 4)

• (1, 1)

• (2, 2)

• (0.5, 0.5)

Tags

CCSS.8.G.A.3

A circle with center at (3, 4) is translated 5 units left and 3 units down. What are the new coordinates of the center?

• (-2, 1)

• (8, 7)

• (-2, 7)

• (3, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A parallelogram has vertices at (0, 0), (2, 3), (5, 3), and (3, 0). If it is reflected over the x-axis, what are the new coordinates of the vertex (2, 3)?

• (2, -3)

• (-2, 3)

• (-2, -3)

• (2, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A hexagon is centered at the origin and is rotated 180 degrees. If one vertex is originally at (6, 0), what are the new coordinates of this vertex?

• (0, 6)

• (-6, 0)

• (0, -6)

• (6, 0)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5