Translations, Rotations, and Reflections in the Coordinate Plane

What is the result of translating a point (x, y) by a vector (a, b)?

• (x+a, y+b)

• (x-a, y-b)

• (x, y)

• (a, b)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Fill in the blank: Rotating a point 90° counterclockwise around the origin changes the point (x, y) to (__, __).

• (-y, x)

• (y, -x)

• (-x, -y)

• (x, y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Fill in the blank: A 180° rotation around the origin changes the point (x, y) to (__, __).

• (-x, -y)

• (x, y)

• (y, x)

• (-y, -x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Translate the point A(2, 3) using the vector (4, -2). What are the coordinates of A'?

• (6, 1)
• (6, 3)
• (2, 1)
• (4, 5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Translate the triangle with vertices B(1, 1), C(1, 4), and D(4, 1) using the vector (2, 3). List the coordinates of the translated triangle B'C'D'.

• B'(1, 1), C'(1, 4), D'(4, 1)
• B'(2, 4), C'(2, 7), D'(5, 4)
• B'(3, 4), C'(3, 7), D'(6, 4)
• B'(3, 4), C'(4, 7), D'(6, 5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rotate the point E(3, 4) 90° counterclockwise around the origin. What are the coordinates of the new point E'?

• E'(4, -3)
• E'(-3, -4)
• E'(3, 4)
• E'(-4, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rotate the triangle with vertices F(2, 2), G(4, 2), and H(2, 5) 180° clockwise around the origin. List the coordinates of the rotated triangle F'G'H'.

• F'(-2, -5), G'(-4, -5), H'(-2, -2)
• F'(-2, -2), G'(-4, 2), H'(-2, -5)
• F'(-2, 2), G'(-4, 2), H'(-2, 5)
• F'(-2, -2), G'(-4, -2), H'(-2, -5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rotate the point L(-3, 2) 180° around the origin. What are the coordinates of the new point L'?

• (3, -2)

• (-3, -2)

• (3, 2)

• (-3, 2)

Translate the point P(3, 3) using the vector (-3, -3). What are the coordinates of the new point P'?

• (0, 0)

• (3, 0)

• (0, 3)

• (3, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A square has vertices at K(0, 0), L(0, 2), M(2, 2), and N(2, 0). If the square is translated by the vector (1, 1), what are the coordinates of the vertices of the new square K'L'M'N'?

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5