Coordinate Plane, Distance & Reflections

Front

What is the coordinate plane?

Back

A two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis), used to locate points using ordered pairs (x, y).

Tags

CCSS.5.G.A.1

Front

What does the x-axis represent in a coordinate plane?

Back

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

Tags

CCSS.5.G.A.1

Front

What does the y-axis represent in a coordinate plane?

Back

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

Tags

CCSS.5.G.A.1

Front

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

Back

Change the sign of the y-coordinate of the point. For example, A(3, 5) becomes A'(3, -5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

Use the distance formula: Distance = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

What is the distance between the points (1, 2) and (4, 6)?

Back

Distance = √((4 - 1)² + (6 - 2)²) = √(3² + 4²) = √(9 + 16) = √25 = 5.

Tags

CCSS.HSG.GPE.B.7

Front

What is a reflection in geometry?

Back

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 are ordered pairs?

Back

A pair of numbers (x, y) that represent a point's position on the coordinate plane.

Tags

CCSS.5.G.A.1

Front

What is the longest side of a rectangle with vertices at (3, 2), (-2, 2), (-2, -1), and (3, -1)?

Back

The longest side is 5 units.

Tags

CCSS.6.G.A.3

Front

How do you determine the coordinates of a point to form a square?

Back

Identify the existing points and use the properties of a square (equal sides and right angles) to find the missing point.

Tags

CCSS.6.G.A.3