Polygons in 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 determine if three points can form a triangle?

Back

Three points can form a triangle if they are not collinear (not on the same straight line).

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is the definition 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.

Front

How do you find the coordinates of a missing vertex in a rectangle?

Back

Use the coordinates of the other three vertices to determine the fourth vertex by ensuring opposite sides are equal.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

What is a coordinate plane?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis).

Front

What are the coordinates of a point?

Back

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

Front

What is the significance of the origin in a coordinate plane?

Back

The origin is the point (0, 0) where the x-axis and y-axis intersect.