Reflections and Distance in the Coordinate Plane

Front

What is a reflection in the coordinate plane?

Back

A reflection in the coordinate plane 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

What happens to the coordinates of a point when it is reflected across the x-axis?

Back

When a point (x, y) is reflected across the x-axis, its coordinates change to (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 across the y-axis?

Back

When a point (x, y) is reflected across the y-axis, its coordinates change to (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you calculate the distance between two points (x1, y1) and (x2, y2)?

Back

The distance is calculated using the formula: Distance = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

What is the distance between the points (3, 4) and (7, 1)?

Back

The distance is 5 units.

Tags

CCSS.HSG.GPE.B.7

Front

What does a reflection over the x-axis look like on a graph?

Back

A reflection over the x-axis flips the figure vertically, keeping the x-coordinates the same and changing the sign of the y-coordinates.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does a reflection over the y-axis look like on a graph?

Back

A reflection over the y-axis flips the figure horizontally, keeping the y-coordinates the same and changing the sign of the x-coordinates.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If the point (2, 3) is reflected over the y-axis, what are the new coordinates?

Back

The new coordinates are (-2, 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If the point (-4, 5) is reflected over the x-axis, what are the new coordinates?

Back

The new coordinates are (-4, -5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting the point (0, 0) across any axis?

Back

The result is still (0, 0) because it is the origin.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5