Translations and Reflections

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you translate a point (x, y) right by 2 and down by 5?

Back

The new coordinates will be (x + 2, y - 5).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

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 happens to the coordinates of a point (x, y) when it is reflected across the x-axis?

Back

The new coordinates will be (x, -y).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What happens to the coordinates of a point (x, y) when it is reflected across the y-axis?

Back

The new coordinates will be (-x, y).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected to create a mirror image.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

If a point K(1, 4) is reflected across the x-axis, what are the new coordinates?

Back

The new coordinates will be (1, -4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a point C(3, 2) is reflected over the y-axis, what are the new coordinates?

Back

The new coordinates will be (-3, 2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of reflecting a figure across the line y = 1?

Back

The figure will be flipped over the line y = 1, maintaining its distance from the line.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you determine the direction of a translation?

Back

The direction of a translation is determined by the vector that indicates how far and in which direction to move the figure.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5