Composition of Transformations

Occurs when two or more transformations are combined to form a new transformation...

Tags

CCSS.8.G.A.3

Order matters during composition transformations except during glide reflection.

• TRUE

• FALSE

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If this figure was rotated 90 degrees about the origin and then translated <2,-3>, what would be the new points?

• (1, 2) ; (-4, 3) ;

  (-3, -1)

• (-2, 1) ; (-4, -3) ;

  (1, -3)

• (1,-2) ; (4, 3) ; (-3, 1)

• (5, -4) ; (1, 3) ; (2, 1)

Tags

CCSS.HSG.CO.A.2

If the points of the pre-image are translated <-1, 1> and then rotated 270 degrees, what will the coordinates of the image be?

• (-2, -1) ; (4, -1) ;

  (2, -3)

• (2, 1) ; (4, 1) ;

  (-2, -3)

• (2, -1) ; (-4, 1) ;

  (2, 3)

• (-2, 1) ; (-4, -1) ;

  (-2, 3)

Tags

CCSS.8.G.A.3

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

• Reflect over x-axis, then rotate 90 degrees about the origin

• Rotate 90 degrees about the origin, then reflect over y-axis

• Reflect over y-axis, then rotate 90 degrees about the origin

• Rotate 90 degrees, then reflect over x-axis

Tags

CCSS.8.G.A.3

Glide reflection is the composition of a reflection and a...

Tags

CCSS.8.G.A.3

Describe the series of transformations that maps the purple figure onto the blue figure.

• Reflect across the x-axis and rotate 90 degrees about the origin

• Rotate 270 degress about the origin and translate <0,7>

• Translate (x+5, y-2) and reflect across y=x

• Rotate 180 degrees about the origin and reflect across the y-axis

Tags

CCSS.8.G.A.3

What is the name of the final figure after all the transformations have occurred?

Tags

CCSS.HSG.CO.A.2

If a figure is reflected across y=x then translated <3, 6>, what would be the steps for finding the new coordinates?

• Move the points 3 units right and 6 units down then (x,y) changes to

  (-x,y)

• First (x,y) changes to (y,x) then move the points 3 units to the right and 6 units up

• (x,y) changes to

  (-y,-x) then move the points 3 units to the left and 6 units up

• Move points 3 units to the right and 6 units up then (x,y) changes to (y,x)

Tags

CCSS.8.G.A.3

If a figure is translated <0,-7> then rotated 270 degrees about the origin, what are the steps to finding the new coordinates?

• (x,y) changes to

  (-x,y) then move the points 7 units to the right

• (x,y) changes to

  (-y,x) then move the points 7 units up

• Move the points to the left 7 units then (x,y) changes to (-x,-y)

• Move the points down 7 units then (x,y) changes to (y,-x)

Tags

CCSS.8.G.A.3