Polygons on the Coordinate Plane

Front

What is a polygon?

Back

A polygon is a closed figure formed by a finite number of straight line segments connected end to end.

Front

What are the characteristics of a rectangle?

Back

A rectangle is a polygon with four sides, where opposite sides are equal in length and all angles are right angles (90 degrees).

Front

How do you find the distance between two points on a coordinate plane?

Back

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

Front

What is the perimeter of a polygon?

Back

The perimeter is the total distance around the polygon, calculated by adding the lengths of all its sides.

Front

What is the formula for the perimeter of a rectangle?

Back

Perimeter = 2(length + width).

Front

How do you identify the vertices of a rectangle on a coordinate plane?

Back

Vertices are the points where the sides of the rectangle meet, typically represented as (x, y) coordinates.

Front

What is the length of a side of a rectangle if the coordinates of two opposite vertices are (x1, y1) and (x2, y2)?

Back

Length = |x2 - x1| or |y2 - y1|, depending on which side is being measured.

Front

What is the significance of the coordinate plane in geometry?

Back

The coordinate plane allows for the representation of geometric shapes using pairs of numbers (coordinates) to define their positions.

Front

How do you determine the fourth vertex of a rectangle given three vertices?

Back

Use the properties of rectangles: the fourth vertex can be found by ensuring opposite sides are equal and parallel.

Front

What is the distance between the points (0, 6) and (0, -4)?

Back

Distance = |6 - (-4)| = 10.