Point Math Example 2

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Example 2

medium
Points A(1,1)(1,1), B(4,1)(4,1), and C(4,5)(4,5) are three corners of a rectangle. What are the coordinates of the fourth corner D?

Solution

  1. 1
    Step 1: A rectangle has opposite sides that are equal and parallel.
  2. 2
    Step 2: AB is horizontal (same y=1), BC is vertical (same x=4).
  3. 3
    Step 3: D must complete the rectangle: same x as A (x=1) and same y as C (y=5).
  4. 4
    Step 4: Therefore D=(1,5)D = (1, 5).

Answer

D=(1,5)D = (1, 5)
Points define the corners (vertices) of geometric figures. By using the properties of a rectangle — right angles and equal opposite sides — we can determine any missing vertex from the other three.

About Point

An exact location in space with no size, length, or width—zero dimensions; named with a capital letter.

Learn more about Point →

More Point Examples

Example 1 easy

Plot the point [formula] on a coordinate grid and describe its location.

Example 3 easy

What are the coordinates of the origin on a standard coordinate grid?

Example 4 hard

In 3D space, describe the point [formula]. How does adding a third coordinate change what a point re

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Related Concepts

LineCoordinate Plane