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 a given direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the x-coordinate when a figure is translated up or down?

Back

The x-coordinate remains unchanged.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the algebraic representation for translating a point (x, y) up by 3 units?

Back

(x, y) --> (x, y + 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the algebraic representation for reflecting a figure over the y-axis?

Back

(x, y) --> (-x, y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

When reflecting a figure over the x-axis, which coordinate changes?

Back

The y-coordinate changes.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of reflecting a figure over the y-axis?

Back

The x-coordinates of the points are negated.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you translate a point (3, 4) to the left by 2 units?

Back

(3, 4) --> (1, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

(5, 2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If triangle A'B'C' is translated to triangle ABC by (x+2, y-5), what is the new position of point A' at (1, 2)?

Back

(3, -3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the transformation that changes the position of a figure without altering its shape or size?

Back

A rigid transformation.

Tags

CCSS.HSG.CO.B.6