Distance + Reflections on Coordinate Planes

Front

What is a reflection in geometry?

Back

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

Front

What is the x-axis?

Back

The x-axis is the horizontal line in a coordinate plane where the y-coordinate is zero.

Front

What is the y-axis?

Back

The y-axis is the vertical line in a coordinate plane where the x-coordinate is zero.

Front

What are the coordinates of Point A if it is located at (-1, 2)?

Back

Point A is located at (-1, 2) in the coordinate plane.

Front

What does it mean to reflect a point over the x-axis?

Back

To reflect a point over the x-axis, you change the sign of the y-coordinate.

Front

What is the distance formula for two points (x1, y1) and (x2, y2)?

Back

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

Front

What are the coordinates of the reflection of point C (0, -4) over the x-axis?

Back

The reflection of C (0, -4) over the x-axis is C' (0, 4).

Front

What is Quadrant I in the coordinate plane?

Back

Quadrant I is the section of the coordinate plane where both x and y coordinates are positive.

Front

What is Quadrant II in the coordinate plane?

Back

Quadrant II is the section of the coordinate plane where x coordinates are negative and y coordinates are positive.

Front

What is Quadrant III in the coordinate plane?

Back

Quadrant III is the section of the coordinate plane where both x and y coordinates are negative.