5th Grade Math 11.3, Classify Quadrilaterals

We can classify and compare quadrilaterals by the number of sides, types of angles, and the relationship shared by opposite sides and opposite angles. All quadrilaterals have 4 sides and 4 angles. Remember, congruent means having the same size and shape. Parallel lines are lines in the same plane that never intersect, they never cross each other, and are always the same distance apart. Perpendicular lines intersect and form four right angles. There are five special types of quadrilaterals. We can classify quadrilaterals by their properties such as parallel sides and perpendicular sides.
A general quadrilateral has four sides and four angles.
A parallelogram is a special trapezoid whose opposite sides are parallel and the opposite sides are congruent. Sometimes a parallelogram is a rectangle when it has four right angles.
A trapezoid is a quadrilateral with at least one pair of parallel sides. Sometimes a trapezoid is a parallelogram when it's opposite sides are parallel and the opposite sides are the same length. But, a parallelogram is always a trapezoid because trapezoids have at least one pair of parallel sides.
A rectangle has 2 pairs of opposite sides that are parallel and 2 pairs of congruent sides. They have four right angles and four pairs of perpendicular sides. Rectangles are special parallelograms because they fulfill the requirements to be a parallelogram, but they go beyond that by having four right angles.
A rhombus has 2 pairs of opposite sides that are parallel and 4 equal side lengths, so it's always a parallelogram. A rhombus is a special parallelogram because it fulfills the requirements to be a parallelogram, but it goes beyond that by having 4 congruent sides. Sometimes a rhombus is a square when it has 4 right angles.
A square has 2 pairs of opposite sides that are parallel, 4 congruent sides, and 4 right angles. A square is a rectangle, rhombus, and trapezoid because it fits each requirement for those quadrilaterals. A square is a special parallelogram because it fulfills the requirements for a parallelogram, but it goes beyond that by having 4 congruent sides and 4 right angles. We discuss how to use a Venn diagram to classify quadrilaterals.
5th Grade Math 11.1, Polygons, Sides, Angles, Vertices, Congruence
• 5th Grade Math 11.1, P...
5th Grade Math 11.2, Classify Triangles
• 5th Grade Math 11.2, C...
5th Grade Math Playlist
• 5th Grade Math Course
I'm using the Houghton Mifflin Go Math!
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