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 properties of a rectangle?

Back

A rectangle has four sides, opposite sides are equal in length, and all angles are right angles (90 degrees).

Front

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

Back

To find the fourth vertex, use the properties of rectangles: the x-coordinates and y-coordinates of opposite vertices are equal.

Front

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

Back

The distance formula is: d = √((x2 - x1)² + (y2 - y1)²).

Front

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

Back

The distance is 4 units.

Front

How do you determine the length of a side of a rectangle on a coordinate plane?

Back

The length of a side can be found by calculating the distance between the coordinates of its endpoints.

Front

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

Back

The longest side is 5 units.

Front

What is the significance of coordinates in the coordinate plane?

Back

Coordinates represent the position of points in a two-dimensional space, defined by an x (horizontal) and y (vertical) value.

Front

How do you identify if a set of points can form a rectangle?

Back

Check if opposite sides are equal and if all angles are right angles.

Front

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

Back

The distance is 10 units.