Reflection Over an Axis

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.

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.

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.

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.

What is a reflection?

• When you turn an object around a point.

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

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

• When you resize an object.

Answer explanation

A reflection is when a figure is flipped or mirrored across a particular line.

A type of transformation where a figure is “flipped” over a line of symmetry. A reflection produces a mirror image of a figure.

• rotation

• translation

• dilation

• reflection

Describe the transformation in the image

• Translation

• Reflection

• Rotation

Name the transformation.

• Translation

• Reflection

• Rotation

Is this rotation or reflection symmetry?

• Rotation

• Reflection

• Translation

Reflect Point C over the y-axis:

• (-3, 2)

• (3,2)

• (-2,3)

• (3,0)