Transformational Geometry-Reflections and Translation

Front

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

Back

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

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

How do you translate a figure 8 units down and 5 units to the right?

Back

(x, y) --> (x + 5, y - 8)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the transformation that moves a figure 1 unit left and 4 units up?

Back

(x, y) --> (x - 1, y + 4)

Tags

CCSS.HSG.CO.A.2

Front

What is the definition of a reflection in geometry?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the definition of a translation in geometry?

Back

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 is the effect of reflecting a point (3, 4) over the x-axis?

Back

(3, -4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of reflecting a point (-2, 5) over the y-axis?

Back

(2, 5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a figure is translated 3 units left and 2 units down, what is the algebraic representation?

Back

(x, y) --> (x - 3, y - 2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the relationship between the original figure and its reflection over the x-axis?

Back

They are symmetrical with respect to the x-axis.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5