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 the coordinates of a point?

Back

Coordinates of a point are a pair of numbers (x, y) that define its position on the coordinate plane, where 'x' represents the horizontal position and 'y' represents the vertical position.

Front

What is a vertex in geometry?

Back

A vertex is a point where two or more lines or edges meet. In the context of polygons, it is a corner point.

Front

How do you find the missing vertex of a rectangle?

Back

To find the missing vertex of a rectangle, use the coordinates of the known vertices. The x-coordinates of opposite vertices are the same, and the y-coordinates of opposite vertices are the same.

Front

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

Back

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

Front

If a rectangle has vertices at (1, -7), (1, -2), and (6, -2), what is the fourth vertex?

Back

The fourth vertex is (6, -7).

Front

What is the significance of ordered pairs in geometry?

Back

Ordered pairs are used to specify the location of points in a coordinate system, allowing for precise geometric representations.

Front

How can you determine if four points form a rectangle?

Back

Four points form a rectangle if the opposite sides are equal in length and the angles between adjacent sides are right angles (90 degrees).

Front

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

Back

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

Front

What is the missing ordered pair if three vertices of a square are (2, 2), (2, -2), and (-2, 2)?

Back

The missing ordered pair is (-2, -2).