Table of Contents
What is the best way to describe a rectangle?
Rectangle – Definition with Examples A rectangle is a 2D shape in geometry, having 4 sides and 4 corners. Its two sides meet at right angles. Thus, a rectangle has 4 angles, each measuring 90 ̊. The opposite sides of a rectangle have the same lengths and are parallel.
How do you prove a rectangle is a rectangle?
How to Prove that a Quadrilateral Is a Rectangle
- If all angles in a quadrilateral are right angles, then it’s a rectangle (reverse of the rectangle definition).
- If the diagonals of a parallelogram are congruent, then it’s a rectangle (neither the reverse of the definition nor the converse of a property).
What does a rectangle add up to?
The angles of a rectangle add up to 360°. By definition, a rectangle has four right angles. A right angle has a measure of 90°.
When can a parallelogram be a rectangle?
If a parallelogram is known to have one right angle, then repeated use of co-interior angles proves that all its angles are right angles. If one angle of a parallelogram is a right angle, then it is a rectangle.
When must a parallelogram be a rectangle?
four right angles
Remember, for a parallelogram to be a rectangle is must have four right angles, opposite sides congruent, opposite sides parallel, opposite angles congruent, diagonals bisect each other, and diagonals are congruent.
How do you identify a rectangle?
Rectangle Definition For a shape to be a rectangle, it must be a four-sided polygon with two pairs of parallel, congruent sides and four interior angles of 90° each. If you have a shape that matches that description, it also is all this: A plane figure. A closed shape.
How do you prove that 4 points form a rectangle?
If you already know that the shape is a parallelogram, you will only have to show that one of the angles is a right angle and then it would follow that all of the angles are right angles. Example: Prove that the following four points will form a rectangle when connected in order….Prove it is a Rectangle.
| Statements | Reasons |
|---|---|
| AC ≅ BD | CPCTC |