Composition of Transformations Lesson

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

• Reflection over x-axis, then Rotation of 90 Degrees

• Rotation of -90 Degrees, then Reflection over y-axis

• Reflection over y-axis, then Rotation of -90 Degrees

• Rotation of 90 Degrees, then Reflection over x-axis

If the red triangle is rotated 180 degrees, then reflected over y=2 what is the final image?

• Green Triangle

• Blue Triangle

• Orange Triangle

• Red Triangle

What is the transformation from Triangle ABC to Triangle A''B''C''?

• Reflection x-axis, then rotation of 180 Degrees

• Reflection over y-axis, then rotation of 90 Degrees

• Rotation of 90 Degrees, then reflection over x-axis

• Rotation of 180 Degrees, then reflection over y-axis

A double reflection over the x- and y-axes is the same as a ____________ of ______.

• Rotation of 180 Degrees

• Rotation of 90 Degrees

• Reflection over the x-axis

• Reflection over the y-axis

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

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

A transformation in which a second transformation is performed on a image of a first transformation is called

• composition of transformation

• translation

• rigid motion

• reflection

What are the coordinates of point A' , the image of point A(-4, 1)  after the composite transformation R₉₀ o r_y=x  where the origin is the center of rotation?

• (-1, -4)
• (-4, -1)
• (1, 4)
• (4, 1)

The coordinates of triangle JRB  are ,J(1, -2) , R(-3, 6) and B(4, 5) .  What are the coordinates of the vertices of its image after the transformation T_{2, -1} o r_y-axis ?

• (3, 1), (-1, -7), (6, -6)
• (3, -3), (-1, 5), (6, 4)
• (1, -3), (5, 5), (-2, 4)
• (-1, -2), (3, 6), (-4, 5)

If the coordinates of point P are (2, -3) , then R₉₀ o R₁₈₀ is

• (-2, 3)
• (-2, -3)
• (3, -2)
• (-3, -2)