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

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

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

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

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

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

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

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

Key Concept 3

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

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

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