Constructing Quadrilaterals with Given Constraints
Grade 7 students in Big Ideas Math Advanced 2 (Chapter 12: Constructions and Scale Drawings) learn to construct quadrilaterals using protractors and rulers, ensuring the completed shape satisfies all given constraints such as parallel sides, congruent sides, or specific angle measures.
Key Concepts
To construct a quadrilateral with given constraints: (1) Start with a base side; (2) Use protractors and rulers to create angles and side lengths that satisfy the given properties; (3) Ensure the final shape meets all specified requirements (parallel sides, congruent sides, or specific angle measures).
Common Questions
How do you construct a quadrilateral with given constraints in 7th grade?
Start with a base side, use a protractor to create the required angles, draw sides of specified lengths, and ensure parallel or congruent sides as required. Verify all constraints are met.
How do you construct a rectangle with given dimensions?
Draw the base to the given length, use a protractor to create 90-degree angles at both ends, draw perpendicular sides of the given width, then complete the top parallel side.
How do you construct a parallelogram with a given angle?
Draw a base, create the given angle at one end, draw the second side, then create the congruent angle at the other end and draw the remaining side parallel to the base.
What chapter in Big Ideas Math Advanced 2 covers constructing quadrilaterals?
Chapter 12: Constructions and Scale Drawings in Big Ideas Math Advanced 2 (Grade 7) covers constructing quadrilaterals with given constraints.
What tools do you need to construct quadrilaterals?
You need a ruler (for measuring side lengths) and a protractor (for measuring and constructing angles). A compass may also be helpful for marking equal lengths.