Transformations Test Review

A rectangle is located on a coordinate plane. If the ordered pair (t, u) represents a vertex of this rectangle, which algebraic representation describes the effect of translating the rectangle 4 units up and 2 units left?

• (t + 4, u - 2)

• (t -2, u +4 )

• (2t, 4u)

• (-t,u)

If rectangle ABCD is transformed to create rectangle A’B’C’D’, and the coordinates of rectangle A’B’C’D’ are

A’(-x, y), B’(-x, y), C’(-x, y), and D’(-x, y), which transformation has occurred?

• Translation

• Reflection over x axis

• Reflection over y axis

• 90 degree clockwise rotation

Triangle STU is rotated 90° counterclockwise about the origin to create triangle S’T’U’. If point U of triangle STU is

(a, b), which algebraic representation best describes point U’ of triangle S’T’U’?

• (-b,a)

• (-a,-b)

• (b, -a)

• (a,b)

Which rule describes a reflection of hexagon ABCDEF across the x-axis?

• (x,y)---> (-x,y)

• (x,y)---> (x,-y)

• (x,y)---> (-x,-y)

• (x,y)---> (x,y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which statement about the rule for a rotation of hexagon ABCDEF 270° clockwise about the origin is true?

• (x,y)-----> (-y,x)

• (x,y)-----> (y,-x)

• (x,y)-----> (-x,-y)

• (x,y)-----> (-x,y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which statement about the rule for a 180° rotation of triangle ABC about the origin is true?

• (x,y)-----> (-x,-y)

• (x,y)-----> (-x,y)

• (x,y)-----> (x,y)

• (x,y)-----> (x,-y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A (5,-8)-------> A' (-5,-8)

• Reflection over x axis

• Reflection over y axis

• 180 Rotation

• 90 Clockwise Rotation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A semicircle is graphed on a coordinate plane and then reflected across the y-axis. If the center of the original semicircle was located at the point (m, n), which ordered pair represents the center of the new semicircle after the transformation?

• (-m,n)

• (m,-n)

• (-m,-n)

• (-n,m)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5