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 right triangle?

Back

A right triangle has one angle that measures 90 degrees.

Front

How do you calculate the distance between two points (x1, y1) and (x2, y2) 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 coordinates would create a right triangle with points (3,2) and (3,7)?

Back

Any point with the same x-coordinate as (3,2) or (3,7) will create a right triangle.

Front

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

Back

The distance is 10 units.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

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

Back

Vertices are the points where the sides of the polygon meet, represented by their coordinates.

Front

What is the difference between a square and a rectangle?

Back

A square has all sides equal, while a rectangle has opposite sides equal.

Front

What is the significance of the coordinate plane in geometry?

Back

The coordinate plane allows for the precise location of points using ordered pairs (x, y).