Reflections With Coordinates

Clayton needs to reflect the triangle below across the line y = x. Which statements about the reflection are true? Check all that apply.

• Clayton could use the rule (y,x) to find the points of the image.

• The image and pre-image will not have the same orientation because reflections flip figures.

• C' will remain in the same location as C because it is on the line of reflection.

• C' will move because all point move in a reflection.

• The image and the pre-image will be congruent triangles.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which statement correctly identifies the line of reflection?

• The triangles are reflected across the x-axis.

• The triangles are reflected across the y-axis.

• The triangles are reflected across the line y = x.

• The triangles are reflected across the line y = -x.

Tags

CCSS.HSG.CO.B.6

Which graph shows the image of the triangle reflected across the line of reflection shown?

• 
• 
• 
• 

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Triangle XYZ is reflected across the x-axis, and X = (-11,8). What are the coordinates of X'?

• (11,-8)

• (-8,11)

• (11,8)

• (-11,-8)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the equation for the line of reflection?

• x = 6

• y = 6

• y = x

• y = 2

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Triangle PQR is reflected across a line, P = (4,-5), and P' = (-4,-5). What is the line of reflection?

• the x-axis

• the y-axis

• the line y = x

• the line y = -x

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Gregory knows that triangle ABC is reflected onto triangle A'B'C'. Which statement about the figures is true?

• If Gregory draws the segment with endpoints A and A', then the midpoint will lie on the line of reflection.

• If Gregory draws the segment with endpoints B and C', then the midpoint will be on the line of reflection.

• Points A and B are equidistant from the line of reflection.

• Line segment AB will be perpendicular to the line of reflection.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which answer shows a reflection across the x-axis?

• d

• c

• b

• a

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Reflect (6, -3) over the line x-axis.

• (6, 3)

• (-6, -3)

• (-3, 6)

• (3, -6)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Reflecting over the y-axis changes the ____-_____________. 

• x-axis

• x-coordinate

• y-coordinate

• none of the above

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5