Reflection and Distance on Coordinate Plane

Front

What is reflection in the context of the coordinate plane?

Back

Reflection is a transformation that flips a point or shape over a line, creating a mirror image. In the coordinate plane, reflections can occur over the x-axis, y-axis, or any line.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

When reflecting a point over the y-axis, which coordinate remains unchanged?

Back

The y-coordinate remains unchanged.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the reflection of the point (x, y) over the y-axis?

Back

The reflection is (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the reflection of the point (x, y) over the x-axis?

Back

The reflection is (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you calculate the distance between two points on a number line?

Back

Distance is calculated by taking the absolute value of the difference between the two points: |x1 - x2|.

Tags

CCSS.7.NS.A.1C

Front

What is the distance between the points -6 and 4 on a number line?

Back

The distance is 10 spaces.

Tags

CCSS.7.NS.A.1C

Front

What is the formula for calculating the distance between two points (x1, y1) and (x2, y2) in the coordinate plane?

Back

The distance formula is √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

If a point is reflected over the x-axis, how does its y-coordinate change?

Back

The y-coordinate changes sign (y becomes -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the coordinates of the point (6, -5) after reflecting it across the x-axis?

Back

The coordinates are (6, 5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point G is at (3, -2) and is reflected across the y-axis, what are the new coordinates?

Back

The new coordinates are (-3, -2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5