Section 1
Defining a Quadrilateral
Property
A quadrilateral is a polygon with exactly four sides and four vertices.
The sum of all interior angles in any quadrilateral equals :
In Section 12.4 of Big Ideas Math Advanced 2, Grade 7 students learn to classify quadrilaterals — including trapezoids, parallelograms, kites, rectangles, rhombuses, and squares — by analyzing properties of their sides and angles. Students explore the hierarchy of quadrilateral types and apply the rule that the sum of interior angle measures of any quadrilateral is 360 degrees. The lesson also covers constructing quadrilaterals using geoboards and geometry software.
Section 1
Defining a Quadrilateral
A quadrilateral is a polygon with exactly four sides and four vertices.
The sum of all interior angles in any quadrilateral equals :
Section 2
Classifying Quadrilaterals Using Most Specific Names
When classifying quadrilaterals, always use the most specific name that applies.
Follow the hierarchy: square rectangle/rhombus parallelogram quadrilateral, and kite or trapezoid as separate branches.
Section 3
Properties of Parallelograms, Rhombuses, Squares, and Kites
A parallelogram has opposite sides parallel and congruent, and opposite angles congruent.
A rhombus is a parallelogram with four congruent sides.
A square is a parallelogram with four congruent sides and four right angles ().
A kite has two pairs of congruent adjacent sides with diagonals perpendicular to each other.
Section 4
Properties of Rectangles
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Section 1
Defining a Quadrilateral
A quadrilateral is a polygon with exactly four sides and four vertices.
The sum of all interior angles in any quadrilateral equals :
Section 2
Classifying Quadrilaterals Using Most Specific Names
When classifying quadrilaterals, always use the most specific name that applies.
Follow the hierarchy: square rectangle/rhombus parallelogram quadrilateral, and kite or trapezoid as separate branches.
Section 3
Properties of Parallelograms, Rhombuses, Squares, and Kites
A parallelogram has opposite sides parallel and congruent, and opposite angles congruent.
A rhombus is a parallelogram with four congruent sides.
A square is a parallelogram with four congruent sides and four right angles ().
A kite has two pairs of congruent adjacent sides with diagonals perpendicular to each other.
Section 4
Properties of Rectangles
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter