Polygons on a Coordinate Plane

Front

What is a polygon?

Back

A polygon is a closed figure made up of straight line segments. Examples include triangles, squares, and pentagons.

Front

What are the coordinates of a point on a coordinate plane?

Back

Coordinates are a pair of numbers (x, y) that define the position of a point on a coordinate plane.

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).

Front

What is the distance between points (5, 5) and (1, 5)?

Back

The distance is 4 units.

Front

What is the distance between points (-7, 8) and (2, 8)?

Back

The distance is 9 units.

Front

How do you determine if four points can form a square?

Back

Check if all sides are equal and the diagonals are equal.

Front

What is the length of a line segment between points (2, 3) and (2, 7)?

Back

The length is 4 units.

Front

What is the formula for the area of a square?

Back

Area = side × side.

Front

What are the coordinates of point D if A(2,1), B(2,5), and C(6,1) form a square?

Back

Point D is at (6,5).

Front

What is the perimeter of a square with a side length of 4 units?

Back

Perimeter = 4 × side = 16 units.