Classifying quadrilaterals
To classify quadrilaterals, you need to understand the defining characteristics of different types of quadrilaterals. The classification of quadrilaterals is based on their sides and angles.
Here are the main types of quadrilaterals and their defining features:
1. Trapezoid: In a trapezoid, at least one pair of opposite sides are parallel. The other two sides are not parallel.
2. Parallelogram: A parallelogram has two pairs of opposite sides that are parallel. Additionally, the opposite sides of a parallelogram are equal in length, and the opposite angles are congruent.
3. Rectangle: A rectangle is a parallelogram with four right angles. All four angles in a rectangle are congruent (equal) and its opposite sides are equal in length.
4. Rhombus: A rhombus is a parallelogram in which all four sides are equal in length. The opposite angles in a rhombus are congruent.
5. Square: A square is a special type of rectangle and rhombus. It has four right angles and all four sides are equal in length.
To classify a given quadrilateral, determine the properties of its sides and angles by measuring them or using the given information. Based on these properties, you can identify which type of quadrilateral it is.
Remember, in some cases, a quadrilateral may fit into multiple categories. In such cases, use all the applicable criteria to classify the quadrilateral.