Rigid Transformations in the Coordinate Plane

Identify the transformation from ABC to A'B'C'.

• 90^o clockwise rotation

• 90^o counter clockwise rotation

• Reflection across the y-axis

• Reflection across the x-axis

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Point A of triangle ABC is at (3, 2). If triangle ABC is reflected about the y-axis, what are the coordinates of point A’ ?

• ( 3 , -2)

• ( -3 , 2)

• ( -2 , -3 )

• ( 2 , 3 )

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A regular pentagon is centered about the origin and has a vertex at (0, 4). Which transformation maps the pentagon to itself?

• a reflection across line m

• a reflection across the x-axis

• a clockwise rotation of 100° about the origin

• a clockwise rotation of 144° about the origin

Tags

CCSS.HSG.CO.A.3

How is triangle A rotated to be triangle Y?

• 180 clockwise

• 90 clockwise

• 90 counter-clockwise

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rotate the point (7,8) around the origin 90 degrees. State the image of the point.

• (-7,-8)

• (8,-7)

• (-8,7)

• (8,7)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What does a translation do to a figure on the coordinate plane?

• Rotates it

• Flips it

• Shrinks it

• Slides it

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which coordinate notation correctly describes a transformation that maps the black triangle to the gray triangle?

• The rotation (x, y) → (-x, -y)

• The translation (x, y) → (x + 6, y - 2)

• The rotation (x, y) → (-y, -x)

• The translation (x, y) → (x + 4, y - 8)

Tags

CCSS.HSG.CO.A.2

A trapezoid is shown in the coordinate plane. Which of the following gives the line or lines of symmetry about which the trapezoid can be reflected in order to map the trapezoid onto itself?

• y = x

• x = 4

• x = 4 and y = 2

• x = 0 and y = 0

Tags

CCSS.4.G.A.3

Which correctly describes the two transformations that were used to create the image on the graph?

• Reflection over the y-axia and a rotation 90^o counter clockwise

• (x+10, y) and reflection over x-axis

• Rotation 90^o clockwise and a reflection over the x-axis

• Reflection over the x-axis ad a translation (x+6,y)

Tags

CCSS.8.G.A.3

What is the sequence of transformations?

• Reflect over the y then reflect over the x

• Reflect over the x then reflect over the y

• Translate 4 units then rotate 90˚

• Rotate 90˚ then reflect over the x

Tags

CCSS.8.G.A.3