Math  201819
4.12  Quadrilaterals
The student will
 classify quadrilaterals as parallelograms, rectangles, squares, rhombi, and/or trapezoids.
Adopted: 2016
BIG IDEAS
So that I can identify the relationship that polygons have in my everyday life
So that I can use polygons to complete tangrams and puzzles
So that I can see how polygons are used in architectural design, building blueprints, and so much more
So that I can describe shapes, using their proper name, after recognizing its characteristics
UNDERSTANDING THE STANDARD
 A quadrilateral is a polygon with four sides.
 A
parallelogram is a quadrilateral with both pairs of opposite sides parallel and
congruent.
 Congruent
figures have the same size and shape.
Congruent sides are the same length.
 A rectangle
is a quadrilateral with four right angles, and, opposite sides that are
parallel and congruent.
 The
geometric markings shown on the rectangle below indicate parallel sides with an
equal number of arrows and congruent sides indicated with an equal number of
hatch (hash) marks.
 A square is
a rectangle with four congruent sides and four right angles.

A trapezoid is a quadrilateral with exactly one pair of parallel sides.
A rhombus is a quadrilateral with 4 congruent sides. Properties of a rhombus include the following:
 opposite sides are congruent
 opposite sides are parallel
 opposite angles are congruent
ESSENTIALS
The student will use problem solving, mathematical communication, mathematical reasoning, connections and representation to
 Develop
definitions for parallelograms, rectangles, squares, rhombi, and trapezoids.
 Identify
properties of quadrilaterals including parallel, perpendicular, and congruent
sides.
 Classify
quadrilaterals as parallelograms, rectangles, squares, rhombi, and/or
trapezoids.
 Compare and
contrast the properties of quadrilaterals.
 Identify
parallel sides, congruent sides, and right angles using geometric markings to
denote properties of quadrilaterals.
KEY VOCABULARY
Updated: Aug 22, 2018