Reflections and Translations

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.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

To reflect a point (x, y) over the x-axis, the new point will be (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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 specified direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you translate a point (x, y) by (a, b)?

Back

To translate a point (x, y) by (a, b), the new point will be (x + a, y + b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean to translate a shape five units right and three units up?

Back

It means to move every point of the shape 5 units to the right on the x-axis and 3 units up on the y-axis.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

To reflect a point (x, y) over the y-axis, the new point will be (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point A(3, -8) is translated to A'(-4, -5), what is the translation vector?

Back

The translation vector is (-7, 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the difference between reflection and translation?

Back

Reflection creates a mirror image of a shape, while translation moves the shape without changing its orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How can you identify a translation on a grid?

Back

A translation can be identified by observing that the shape has moved to a new location without rotation or flipping.

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, while the x-coordinate remains the same.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5