Graph Reflections

Which series of transformations were performed in the figure?

• Translation 5 units down, reflection over the y-axis

• Reflection over the x-axis, translation 6 units right

• Rotation 90^o clockwise, reflection over the x-axis

• Rotation 180^o clockwise, reflection over the y-axis

Answer explanation

A 90 degree clockwise rotation would turn the figure on its side.

Then, a reflection across the x-axis would flip the figure to map to the final image.

Tags

CCSS.8.G.A.3

Describe a sequence of transformations that maps figure A onto figure B.

• A translation 4 units right followed by a reflection across the x-axis

• A reflection across the x-axis followed by a reflection across the y-axis

• A reflection across the y-axis followed by a translation 6 units down

• A 90° counterclockwise rotation about the Origin followed by a reflection across the y-axis

Answer explanation

One step that would take figure A to figure B is a 180 degree rotation. This is the same as a reflection over the x-axis followed by a reflection across the y-axis.

Tags

CCSS.8.G.A.3

Which segment is the image of segment AB reflected across the line y = -2?

• segment AF

• segment DC

• segment GH

• segment JK

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

What is the equation for the line of reflection?

• x = 3

• y = 3

• y = x

• x = 6

Tags

CCSS.8.G.A.3

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.HSG.CO.A.5

CCSS.8.G.A.3

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.HSG.CO.A.5

CCSS.8.G.A.3

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.8.G.A.3

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

• 
• 
• 
• 

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

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.HSG.CO.A.5

CCSS.8.G.A.3

What are the coordinates of A' after reflecting across the line x = 3?

• (2,3)

• (3,2)

• (3,4)

• (3,-2)

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3