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Get 9 2 Conditions For Parallelograms Answer Key

Name Date Class LESSON 9-2 Conditions for Parallelograms Practice and Problem Solving A/B Determine whether the figure is a parallelogram for the given values of the variables. Explain your answers. 1. x 9 and y 11 2. a 4. 3 and b 13 A quadrilateral has vertices E 1 1 F 4 5 G 6 6 and H 3 2. Complete Problems 3 6 to tell whether EFGH is a parallelogram* 3. Plot the vertices and draw EFGH. 4. Use the Pythagorean theorem to find the lengths of sides EF and HG* EF HG 5. Use the Slope Formula to find the slopes of sides EF and GH. slope of EF slope of HG 6. The answers to Problems 4 and 5 reveal something about figure EFGH. State the theorem that uses these facts to prove that EFGH is a parallelogram* Use the given method to determine whether the quadrilateral with the given vertices is a parallelogram* 7. Find the slopes of all four sides J 4 1 K 7 4 L 2 10 M 5 7. 8. Find the lengths of all four sides P 2 2 Q 1 3 R 4 2 S 3 7. Original content Copyright by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. Explain your answers. 1. x 9 and y 11 2. a 4. 3 and b 13 A quadrilateral has vertices E 1 1 F 4 5 G 6 6 and H 3 2. Complete Problems 3 6 to tell whether EFGH is a parallelogram* 3. Plot the vertices and draw EFGH. 4. Complete Problems 3 6 to tell whether EFGH is a parallelogram* 3. Plot the vertices and draw EFGH. 4. Use the Pythagorean theorem to find the lengths of sides EF and HG* EF HG 5. Use the Slope Formula to find the slopes of sides EF and GH. Use the Pythagorean theorem to find the lengths of sides EF and HG* EF HG 5. Use the Slope Formula to find the slopes of sides EF and GH. slope of EF slope of HG 6. The answers to Problems 4 and 5 reveal something about figure EFGH. State the theorem that uses these facts to prove that EFGH is a parallelogram* Use the given method to determine whether the quadrilateral with the given vertices is a parallelogram* 7. slope of EF slope of HG 6. The answers to Problems 4 and 5 reveal something about figure EFGH. State the theorem that uses these facts to prove that EFGH is a parallelogram* Use the given method to determine whether the quadrilateral with the given vertices is a parallelogram* 7. Find the slopes of all four sides J 4 1 K 7 4 L 2 10 M 5 7. 8. Find the lengths of all four sides P 2 2 Q 1 3 R 4 2 S 3 7. Find the slopes of all four sides J 4 1 K 7 4 L 2 10 M 5 7. 8. Find the lengths of all four sides P 2 2 Q 1 3 R 4 2 S 3 7. Original content Copyright by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. Explain your answers. 1. x 9 and y 11 2. a 4. 3 and b 13 A quadrilateral has vertices E 1 1 F 4 5 G 6 6 and H 3 2. Complete Problems 3 6 to tell whether EFGH is a parallelogram* 3. Plot the vertices and draw EFGH. 4. Use the Pythagorean theorem to find the lengths of sides EF and HG* EF HG 5. Use the Slope Formula to find the slopes of sides EF and GH. Complete Problems 3 6 to tell whether EFGH is a parallelogram* 3. Plot the vertices and draw EFGH. 4. Use the Pythagorean theorem to find the lengths of sides EF and HG* EF HG 5. Use the Slope Formula to find the slopes of sides EF and GH. slope of EF slope of HG 6. The answers to Problems 4 and 5 reveal something about figure EFGH. State the theorem that uses these facts to prove that EFGH is a parallelogram* Use the given method to determine whether the quadrilateral with the given vertices is a parallelogram* 7.

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