Polygons on 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 square?

Back

A square is a polygon with four equal sides and four right angles.

Front

How do you determine the coordinates of a point to form a square given three points?

Back

To find the fourth point of a square, use the properties of equal distances and right angles from the given points.

Front

What is the formula for calculating the distance between two points in a coordinate plane?

Back

The distance d between two points (x1, y1) and (x2, y2) is given by d = √((x2 - x1)² + (y2 - y1)²).

Front

What is a rectangle and how is it defined in a coordinate plane?

Back

A rectangle is a polygon with opposite sides equal and four right angles, defined by its vertices' coordinates.

Front

How do you find the length of the longest side of a rectangle given its vertices?

Back

Calculate the distances between all pairs of adjacent vertices and identify the maximum distance.

Front

What are the characteristics of a right triangle?

Back

A right triangle has one angle that measures 90 degrees and follows the Pythagorean theorem.

Front

How can you determine if three points can form a triangle?

Back

Three points can form a triangle if they are not collinear, meaning they do not lie on the same straight line.

Front

What is a parallelogram and how can it be identified using coordinates?

Back

A parallelogram is a quadrilateral with opposite sides parallel and equal in length, which can be identified by checking the slopes of opposite sides.

Front

What is the significance of the coordinates (x, y) in the coordinate plane?

Back

Coordinates (x, y) represent the position of a point in a two-dimensional space, where x is the horizontal distance from the origin and y is the vertical distance.