Reflections Across the Y=X and Y=-X

What is a reflection?

• When you turn an object around a point.

• When you flip or mirror an object across a line.

• When you slide an object from one place to another.

• When you resize an object.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

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

• (-6, 2)

• (-8, 9)

• (9, -8)

• (2, -6)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the line of reflection?

• y=4

• x=-3

• y=x

• y= -x

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What point do you get if you reflect the point ( -6,1) over the line y = -x?

• (-1,-6)

• (6,-1)

• (1,6)

• (-1,6)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the rule for the following reflection? 

• Reflection across      x-axis
• Reflection across        y-axis
• Reflection across            y = x
• Reflection across          y = −x

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the location of point J' after a reflection across the line y= -x

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5