Reflections on a Graph

Match the rules with the correct description.

• translate

  left 1 unit

• reflect

  over the y-axis

• reflect

  over the x-axis

• translate

  down 1 unit

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Jabari wants to reflect a figure over the x-axis.

Match the line on the graph to the line of reflection Jabari is using.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If GHIJ is reflected over the x-axis, which quadrant will the image land in?

• Q I

• Q II

• Q III

• Q IV

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The points show the coordinates of the vertices of ΔVWX before and after a reflection.

What was the line of reflection?

• the

  x-axis

• the

  y-axis

• the

  origin

• No way to tell

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

True or False:

If JKLMN is reflected over the x-axis, L' will be located at (-3,4).

• True

• False

Answer explanation

L' would be located at (-3,4) if the figure was reflected over the y-axis!

If we reflect over the x-axis L' will be located at (3,-4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

True of False:

If JKLMN is reflected over the y-axis, the shape will get BIGGER.

• True

• False

Answer explanation

Reflections are RIGID TRANSFORMATIONS. This means reflections preserve size.

Tags

CCSS.HSG.CO.A.2

When you reflect a point over the y-axis,

the x-coordinate ​ (a)   and the y-coordinate ​ (b)   .

• changes to the opposite
• stays the same

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

When you reflect a point over the x-axis,

the x-coordinate ​ (a)   and the y-coordinate ​ (b)   .

• stays the same
• changes to the opposite

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If PQR is reflected over the y-axis, what will the coordinates of P' be?

• (-5, -3)

• (-5, 3)

• (5, -3)

• (5, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If the point (-1, 2) is reflected over the y-axis, where would you plot the image?

• (1, 2)

• (-1, 2)

• (-1, -2)

• (1, -2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5