Coordinates Maps

Which answer shows a reflection across the x-axis?

• a

• b

• c

• d

Answer explanation

Figure A shows a reflection across the line y=x.

Figure B shows a rotation.

Figure C shows a reflection across the x-axis.

Figure D Shows a reflection across the y-axis.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Identify the transformation from ABC to A'B'C'.

• 90^o clockwise rotation

• 90^o counter clockwise rotation

• Reflection across the y-axis

• Reflection across the x-axis

Answer explanation

The image appears to be flipped from the preimage, which indicates a reflection.

The figure would need to be flipped/reflected across the x-axis to be oriented the way it is. Think of it like a page turned from preimage to image, with the page "attached" at the x-axis.

Tags

CCSS.8.G.A.3

Which correctly describes the two transformations that were used to create the image on the graph?

• Reflection over the y-axis and a rotation 90^o counter clockwise

• (x+10, y) and reflection over x-axis

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

• Reflection over the x-axis ad a translation (x+6,y)

Answer explanation

A reflection over the y-axis would flip the order of the labels. Then, a 90 degree counterclockwise rotation would turn the figure on it's side.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What axis is the triangle being reflected over?

• X-axis

• Y-axis

Answer explanation

Think of your axis of reflection as a book spine: If you "turn the page" to move your figure from preimage to image, where would the page have been attached?

In this case, the y-axis.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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 fully the single transformation that maps triangle ABC onto triangle A'B'C'. Find scale factor and coordinates of the center of enlargement.

• (2,3)

• (2,3)

• (3,2)

Tags

CCSS.HSG.CO.A.2

Describe fully the single transformation that maps triangle ABC onto triangle A'B'C'. Find scale factor and coordinates of the center of enlargement.

• 3 and (-3,4)

• -3 and (3,-4)

• 1/3 and (-3,4)

• -1/3 and (4,-3)

Tags

CCSS.HSG.CO.A.2

Find coordinates of the dilation center

Tags

CCSS.HSG.CO.A.2

Which is the dilation scale factor?

Tags

CCSS.HSG.CO.A.2

Describe fully the single transformation that maps triangle ABC onto triangle A'B'C'. Find scale factor and coordinates of the center of enlargement.

Tags

CCSS.HSG.CO.A.2