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

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, the new coordinates become (-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

When a point (x, y) is reflected over the x-axis, the new coordinates become (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the algebraic representation of translating a figure 2 units up?

Back

The algebraic representation is (x, y+2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a triangle has vertices A(1, 2), B(3, 4), and C(5, 6), what are the new coordinates after a translation of 3 units left and 2 units down?

Back

The new coordinates will be A(-2, 0), B(0, 2), and C(2, 4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting the point (3, -5) over the y-axis?

Back

The result is (-3, -5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Describe the transformation that moves a figure 4 units to the right and 3 units down.

Back

This transformation is a translation represented algebraically as (x+4, y-3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of reflecting a figure over the x-axis followed by a reflection over the y-axis?

Back

The effect is equivalent to a rotation of 180 degrees around the origin.

Tags

CCSS.8.G.A.3

Front

If a point (x, y) is translated 5 units left and 2 units up, what are the new coordinates?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the definition of reflection in geometry?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5