2. Main Idea and New Vocabulary
Example 1: Draw and Classify Quadrilaterals
Example 2: Draw and Classify Quadrilaterals
Key Concept: Angles of a Quadrilateral
Example 3: Find a Missing Measure
Lesson Menu

3. Identify and classify quadrilaterals.
parallelogram
trapezoid
rhombus
Main Idea/Vocabulary

4. Draw and Classify Quadrilaterals
Draw a quadrilateral that is a parallelogram with four right angles and two sets of congruent sides. Then classify the quadrilateral with the name that best describes it.
Draw one right angle. The two segments should be different lengths.
Draw a second right angle that shares one of the segments. The third segment drawn should be congruent to the opposite segment.
Example 1

5. Draw and Classify Quadrilaterals
Connect the fourth side of the quadrilateral. All four angles should be right angles, and opposite sides should be congruent.
Answer: The figure is a rectangle.
Example 1

6. Draw a quadrilateral that is a parallelogram with four congruent sides
Draw a quadrilateral that is a parallelogram with four congruent sides. Then classify the quadrilateral with the name that best describes it.
A. parallelogram
B. rhombus
C. rectangle
D. trapezoid
Example 1 CYP

7. Draw and Classify Quadrilaterals
Draw a quadrilateral with exactly one set of parallel sides. Then classify the quadrilateral with the name that best describes it.
Draw two parallel sides. Connect the endpoints of these two sides so that two new sides are drawn that are not parallel.
Example 2

8. Draw and Classify Quadrilaterals
Answer: The figure is a trapezoid.
Example 2

9. Draw a quadrilateral with both pairs of opposite sides congruent
Draw a quadrilateral with both pairs of opposite sides congruent. Then classify the quadrilateral with the name that best describes it.
A. quadrilateral
B. triangle
C. parallelogram
D. trapezoid
Example 2 CYP

10. Key Concept 3

11. ALGEBRA Find the value of x in the quadrilateral shown.
Find a Missing Measure
ALGEBRA Find the value of x in the quadrilateral shown.
Write and solve an equation.
Example 3

12. 60 + 120 + 60 + x = 360 Write the equation. 240 + x = 360 Simplify.
Find a Missing Measure
x = Write the equation.
240 + x = Simplify.
– = – 240 Subtraction Property of Equality
x =
Answer: The value of x is 120.
Example 3

13. ALGEBRA Find the value of x in the quadrilateral shown.
C. 85
D. 245
Example 3 CYP