Defining a Quadrilateral
Grade 7 students in Big Ideas Math Advanced 2 (Chapter 12: Constructions and Scale Drawings) learn that a quadrilateral is a polygon with exactly four sides and four vertices, and that all interior angles always sum to 360 degrees. This includes squares, rectangles, parallelograms, trapezoids, and rhombuses.
Key Concepts
A quadrilateral is a polygon with exactly four sides and four vertices. The sum of all interior angles in any quadrilateral equals $360°$: $$\angle A + \angle B + \angle C + \angle D = 360°$$.
Common Questions
What is a quadrilateral in 7th grade geometry?
A quadrilateral is a polygon with exactly four sides, four vertices, and four interior angles. The angles always sum to 360 degrees regardless of shape.
What is the sum of interior angles in a quadrilateral?
The interior angles of any quadrilateral always sum to exactly 360 degrees.
What are examples of quadrilaterals?
Squares, rectangles, parallelograms, trapezoids, rhombuses, and kites are all quadrilaterals. They all have four sides and four vertices.
What chapter in Big Ideas Math Advanced 2 covers quadrilaterals?
Chapter 12: Constructions and Scale Drawings in Big Ideas Math Advanced 2 (Grade 7) covers defining and working with quadrilaterals.
How do you find a missing angle in a quadrilateral?
Add the three known angles and subtract from 360 degrees. Missing angle = 360 - (sum of known angles).