Translation and Reflection

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the line of reflection for a reflection across the y-axis?

Back

The line of reflection is the y-axis itself, where each point (x, y) is transformed to (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point when it is reflected over the x-axis?

Back

The y-coordinate changes sign, so (x, y) becomes (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the difference between translation and reflection?

Back

Translation moves a figure without changing its orientation, while reflection flips it over a line.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you reflect a point (3, 4) over the y-axis?

Back

The reflected point is (-3, 4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting the point (-2, 5) over the x-axis?

Back

The reflected point is (-2, -5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a triangle is reflected over the x-axis, what happens to its vertices?

Back

The y-coordinates of all vertices change sign.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the transformation that moves a shape without changing its size or orientation?

Back

Translation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you identify the line of reflection in a given figure?

Back

The line of reflection is the line that is equidistant from corresponding points of the original and reflected figures.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of reflecting a shape over the line y = 1?

Back

Each point (x, y) is transformed to (x, 2 - y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5