Composition of Transformations

What is the image of point (4,2) after the composition of transformations defined by a 90 degrees clockwise rotation and a refection over y=x?

• (-4, 2)

• (4, -2)

• (-4, -2)

• (2, -4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the image of point (-1,-1) under a reflection across the x axis followed by a 90 degrees counter clockwise rotation.

• (1, 1)

• (1, -1)

• (-1, 1)

• (-1, -1)

Tags

CCSS.8.G.A.3

What are the coordinates of point A' , the image of point A(-4, 1) after the composite transformation of a 90 degrees clockwise rotation followed by a reflection across y=x where the origin is the center of rotation?

• (-1, -4)

• (-4, -1)

• (1, 4)

• (4, 1)

Tags

CCSS.8.G.A.3

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 (x+2 , y-1) followed by a reflection across the y-axis?

• (3, 1), (-1, -7), (6, -6)

• (3, -3), (-1, 5), (6, 4)

• (-3, -3), (1, 5), (-6, 4)

• (-1, -2), (3, 6), (-4, 5)

Tags

CCSS.8.G.A.3

If the coordinates of point P are (2, -3) , then a 90 degrees counter clockwise rotation followed a 180 degrees rotation is

• (-2, 3)

• (-2, -3)

• (3, -2)

• (-3, -2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Triangle ABC, made of the points A(1,4) B(5,2) C(1,1), is rotated 90 degrees clockwise, then translated (x-3, y+1). Which picture shows this transformation?

• F
• G
• H
• I

Tags

CCSS.8.G.A.3

If the figure is translated 1 unit right and 2 units down, then reflected across the x-axis, what are the coordinates of Q'?

• (2, 4)
• (-2, -4)
• (0, 4)
• (4, 0)

Tags

CCSS.8.G.A.3

Triangle XYZ has vertices X(-2, 2) Y(3, 2) and Z(-5, -6). Rotate the figure 180 degrees, translate it 2 units up and 4 units right, then dilate by a scale factor of 2. What are the new coordinates?

• X'''(8,4) Y'''(-2,4) Z'''(14,20)
• X'''(12,0) Y'''(2,0) Z'''(18,16)
• X'''(12,0) Y'''(2,0) Z'''(3, 4)
• X'''(8,4) Y'''(2,0) Z'''(14,20)

Tags

CCSS.8.G.A.3