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Quadrilaterals Classification Lesson: Shapes and Angles

Learn to identify and classify quadrilaterals, including parallelograms, trapezoids, rectangles, and rhombuses in this interactive lesson. Practice finding missing angle measures to enhance your geometry skills.

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Quadrilaterals Classification Lesson: Shapes and Angles

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  1. Transparency 5 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 5-3b Objective Identify and classify quadrilaterals

  4. Example 5-3b Vocabulary Quadrilateral A closed figure having four sides and four angles

  5. Example 5-3b Vocabulary Parallelogram A quadrilateral with opposite sides parallel and opposite sides congruent

  6. Example 5-3b Vocabulary Trapezoid A quadrilateral with one pair of parallel sides

  7. Example 5-3b Vocabulary Rhombus A parallelogram having four congruent sides

  8. Example 5-3b Vocabulary Parallel Lines that do not intersect Always the same distance between the two lines

  9. Lesson 5 Contents Example 1Classify Quadrilaterals Example 2Classify Quadrilaterals Example 3Find a Missing Measure

  10. Example 5-1a Classify the quadrilateral using the name that best describes it. The quadrilateral has 4 right angles Answer: Opposite sides are congruent Rectangle Meets the definition of a rectangle 1/3

  11. Example 5-1b Classify the quadrilateral using the name that best describes it. Answer: parallelogram 1/3

  12. Example 5-2a Classify the quadrilateral using the name that best describes it. The quadrilateral has one pair of parallel sides No congruency symbols No right angles Meets the definition of a trapezoid Answer: Trapezoid 2/3

  13. Example 5-2b Classify the quadrilateral using the name that best describes it. Answer: Square 2/3

  14. Example 5-3a Find the missing angle measure in the quadrilateral. = 3600 x + 1200 + 600 + 600 Add the 4 angles together Sum of the angles in a quadrilateral is 3600 3/3

  15. Example 5-3a Bring down x Find the missing angle measure in the quadrilateral. Combine “like” terms Bring down = 3600 x + 1200 + 600 = 3600 + 600 Ask “what is being done to the variable?” x + 2400 = 3600 x + 2400 - 2400 The variable is being added by 2400 Do the inverse on both sides of the equal sign Bring down x + 2400 Subtract 2400 3/3

  16. Example 5-3a Bring down = 3600 Find the missing angle measure in the quadrilateral. Subtract 2400 Bring down x x + 1200 + 600 = 3600 + 600 Combine “like” terms x + 2400 = 3600 Bring down = x + 2400 = 3600 - 2400 - 2400 Combine “like” terms = 1200 x + 00 Use the Identify Property to add x + 00 Answer: x = 1200 3/3

  17. Example 5-3b * Find the missing angle measure in the quadrilateral. Answer: x = 134 3/3

  18. End of Lesson 5 Assignment

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