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Identifying Congruent Figures and Solving Problems

Learn to identify congruent figures and use congruence to solve problems. Understand the properties of congruent figures and how to determine if figures are congruent or not.

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Identifying Congruent Figures and Solving Problems

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  1. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

  2. Warm Up Solve. 1. 2.

  3. Problem of the Day The sum of two decimals is 9.3; their difference is 4.3, and their product is 17.00. What are they? 2.5, 6.8

  4. Learn to identify congruent figures and to use congruence to solve problems.

  5. Vocabulary congruent figures

  6. You know that angles that have the same measure are congruent. Congruent figures have the same shape and same size. This means the corresponding sides and corresponding angles are congruent.

  7. Additional Example 1A: Identifying Congruent Figures Decide whether the figures in each pair are congruent. If not, explain. These figures do not have the same shape and they are not the same size. These figures are not congruent.

  8. Additional Example 1B: Identifying Congruent Figures Decide whether the figures in each pair are congruent. If not, explain. These figures have the same shape and size. These figures are congruent.

  9. Check It Out: Example 1A Decide whether the figures in each pair are congruent. If not, explain. Each figure is a trapezoid. The corresponding sides are 5.7 in., 7.5 in., 5 in., and 10 in. These figures are congruent.

  10. Check It Out: Example 1D Decide whether the figures in each pair are congruent. If not, explain. Each figure is a rectangle. Each short side of each rectangle measures 4 cm. Each long side of each rectangle measures 9 cm. These figures are congruent.

  11. Additional Example 2: Consumer ApplicationJodi needs a sleeping pad that is congruent to her sleeping bag. Which pad should she buy? Both sleeping pads are trapezoids. Only sleeping pad B is the same size as the sleeping bag. Sleeping pad B is congruent to the sleeping bag.

  12. Check It Out: Example 2 Tomi needs a frame that is congruent to her flag. Which frame should she buy? 11.2 in. 10 in. 11.2 in. 4 in. 7.8 in. 9.2 in. 4 in. 7.8 in. 4 in. Flag Frame A Frame B Both frames are triangles. Only Frame B is the same size as the flag. Frame B is congruent to the flag.

  13. Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

  14. Lesson Quiz True or false? 1. If two figures have sides of the same length, they are congruent. 2. Congruent figures have angle measures that are equal. 3. Decide whether the figures are congruent. If not, explain. false true No; both are quadrilaterals but they are not the same size or shape.

  15. Lesson Quiz for Student Response Systems 1. Which of the following statements is false? A. If two figures have the same shape, then they are congruent. B. Congruent figures have angle measures that are equal. C. Congruent figures have equal side lengths. D. none octagon, not regular octagon, not regular

  16. Lesson Quiz for Student Response Systems 2. Which of the following statements is true? A. If two figures have the same angle measures, then they are congruent. B. If two figures have the same side lengths, then they are congruent. C. If two figures have the same shape and size, then they are congruent. D. none

  17. Lesson Quiz for Student Response Systems 3. Decide whether the figures are congruent. If not, explain. A. No; both are trapezoids, but they are not the same size. B. No; both are trapezoids, but they are not the same shape. C. No; both are not trapezoids. D. Yes

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