Missing Vertex on Coordinate Plane

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). Each point on the plane is defined by an ordered pair of numbers (x, y).

Front

What are vertices in geometry?

Back

Vertices are the points where two or more lines meet. In the context of shapes like rectangles, vertices are the corners of the shape.

Front

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

Back

To find the fourth vertex, identify the x and y coordinates that are missing based on the other three vertices. The fourth vertex will share the x-coordinate with one vertex and the y-coordinate with another.

Front

What is the formula for the distance between two points (x1, y1) and (x2, y2) on a coordinate plane?

Back

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

Front

What is the significance of the x-axis and y-axis in a coordinate plane?

Back

The x-axis is the horizontal line, and the y-axis is the vertical line. They are used to define the position of points in the coordinate plane.

Front

What does it mean for points to be 'collinear'?

Back

Collinear points are points that lie on the same straight line.

Front

How can you determine if a set of points forms a rectangle?

Back

A set of points forms a rectangle if opposite sides are equal in length and all angles are right angles (90 degrees).

Front

What is the relationship between the coordinates of opposite vertices of a rectangle?

Back

The x-coordinates of opposite vertices are equal, and the y-coordinates of opposite vertices are equal.

Front

If a rectangle has vertices at (x1, y1) and (x2, y2), what are the coordinates of the other two vertices?

Back

The other two vertices will be (x1, y2) and (x2, y1).

Front

What is the definition of a rectangle?

Back

A rectangle is a quadrilateral with four right angles and opposite sides that are equal in length.