Transformational Geometry-Reflections and Translation

Front

What is transformational geometry?

Back

Transformational geometry is a branch of geometry that studies the properties of figures that are invariant under certain transformations, such as translations, rotations, reflections, and dilations.

Tags

CCSS.HSG.CO.A.2

Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a figure a constant distance in a specified direction.

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

To translate a figure 8 units down, subtract 8 from the y-coordinates of each point. To translate 5 units to the right, add 5 to the x-coordinates of each point.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

To reflect a point (x, y) across the y-axis, change the sign of the x-coordinate, resulting in the point (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting the point (2, -4) over the y-axis?

Back

The result is the point (-2, -4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

To reflect a point (x, y) across the x-axis, change the sign of the y-coordinate, resulting in the point (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting the point (1, 4) over the x-axis?

Back

The result is the point (1, -4).

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 y-axis?

Back

The x-coordinate changes sign, while the y-coordinate remains the same.

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