Reflection Over a Line

What is the rule for a reflection across the y = x line?

• (x, y) becomes (x, -y)

• (x, y) becomes (-x, y)

• (x, y) becomes (-x, -y)

• (x, y) becomes (y, x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Graph the reflection with line of reflection y=x. Point C is currently located at (3,1). What are the new coordinates of C' ?

• (3, 1)

• (1, 3)

• (-3, -1)

• (-3, 1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What are the new coordinates of A' after a reflection across the line y=x?

• (1,1)

• (1, 2)

• (2,1)

• (-1, 2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the new location of image point C' when reflected over the line y=x ?

• (0, 2)

• (0, -2)

• (2, 0)

• (0, 0)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Given triangle ABC is reflected over the line y=x+2, which of the following must be true?

• (x,y)->(-x,y)

• Triangle ABC is similar to triangle A'B'C'

• Line BB' is Parallel to the line y=x+2

• Line CC' is Perpendicular to the line y=x+2

• Line Segment BB' is Congruent to Line Segment CC'

Tags

CCSS.8.G.A.3

Quadrilateral QIEK is reflected across the line y = -x. What are the coordinates of E'?

• (-3, 3)

• (3, 3)

• (-3, -3)

• (3, -3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The picture shows a reflection over what line?

• x=-2

• y=x

• y=-x

• x=2

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The point ( -2,5) is reflected over the line x = 1.  Find its image.

• (4, 5)

• (-2, -3)

• (2, 5)

• (2, -5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The picture shows what type of transformation?

• Translation over y=x

• Reflection over y=-x

• Rotation

• Reflection over y=x

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Complete the mapping for a reflection over the line y = x:

(x, y) --> (​​ (a)   , ​ (b)   )

• x

• -y

• -x

• y

Tags

transformations

reflections

mappings