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186/Chapter 5 Classroom Exercises 1. Name each figure shown that appears to be: a. a parallelogram b. a rectangle c. a rhombus d. a square 2. Name each figure that is both a rectangle and a rhombus. 3. Name each figure that is a rec- tangle but not a square. 4. Name each figure that is a rhombus but not a square. 2 6 7 8 10 11 5. When you know that one angle of a parallelogram is a right angle, you can prove that the parallelogram is a rectangle. Draw a diagram and explain. 6. When you know that two consecutive sides of a parallelogram are congruent, you can prove that the parallelogram is a rhombus. Draw a diagram and explain. 7. Given: Rhombus EFGH a. F, being equidistant from E and G, must lie on the 2 of EG. b. H, being equidistant from E and G, must lie on the _ of EG. E of EG. c. From (a) and (b) you can deduce that FH is the 12 F + d. State the theorem of this section that you have just proved. LKAP is a right angle, and AM is a median. Complete. 8. If MP = 6, then MA 9. If MA = 1, then KP = 1. 10. If m LK = 40, then mZ KAM = 2. mL P M H 11. In the diagrams below, the red figures are formed by joining the midpoints of the sides of the quadrilaterals. a. What seems to be the common property of the red figures? b. Describe how you would prove your answer to part (a).

186/Chapter 5 Classroom Exercises 1. Name each figure shown that appears to be: a. a parallelogram b. a rectangle c. a rhombus d. a square 2. Name each figure that is both a rectangle and a rhombus. 3. Name each figure that is a rec- tangle but not a square. 4. Name each figure that is a rhombus but not a square. 2 6 7 8 10 11 5. When you know that one angle of a parallelogram is a right angle, you can prove that the parallelogram is a rectangle. Draw a diagram and explain. 6. When you know that two consecutive sides of a parallelogram are congruent, you can prove that the parallelogram is a rhombus. Draw a diagram and explain. 7. Given: Rhombus EFGH a. F, being equidistant from E and G, must lie on the 2 of EG. b. H, being equidistant from E and G, must lie on the _ of EG. E of EG. c. From (a) and (b) you can deduce that FH is the 12 F + d. State the theorem of this section that you have just proved. LKAP is a right angle, and AM is a median. Complete. 8. If MP = 6, then MA 9. If MA = 1, then KP = 1. 10. If m LK = 40, then mZ KAM = 2. mL P M H 11. In the diagrams below, the red figures are formed by joining the midpoints of the sides of the quadrilaterals. a. What seems to be the common property of the red figures? b. Describe how you would prove your answer to part (a).

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.2: Points, Lines, And Their Graphs
Problem 47WE
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186/Chapter 5 Classroom Exercises 1. Name each figure shown that appears to be: a. a parallelogram b. a rectangle c. a rhombus d. a square 2. Name each figure that is both a rectangle and a rhombus. 3. Name each figure that is a rec- tangle but not a square. 4. Name each figure that is a rhombus but not a square. 2 6 7 8 10 11 5. When you know that one angle of a parallelogram is a right angle, you can prove that the parallelogram is a rectangle. Draw a diagram and explain. 6. When you know that two consecutive sides of a parallelogram are congruent, you can prove that the parallelogram is a rhombus. Draw a diagram and explain. 7. Given: Rhombus EFGH a. F, being equidistant from E and G, must lie on the 2 of EG. b. H, being equidistant from E and G, must lie on the _ of EG. E of EG. c. From (a) and (b) you can deduce that FH is the 12 F + d. State the theorem of this section that you have just proved. LKAP is a right angle, and AM is a median. Complete. 8. If MP = 6, then MA 9. If MA = 1, then KP = 1. 10. If m LK = 40, then mZ KAM = 2. mL P M H 11. In the diagrams below, the red figures are formed by joining the midpoints of the sides of the quadrilaterals. a. What seems to be the common property of the red figures? b. Describe how you would prove your answer to part (a).
Transcribed Image Text:186/Chapter 5 Classroom Exercises 1. Name each figure shown that appears to be: a. a parallelogram b. a rectangle c. a rhombus d. a square 2. Name each figure that is both a rectangle and a rhombus. 3. Name each figure that is a rec- tangle but not a square. 4. Name each figure that is a rhombus but not a square. 2 6 7 8 10 11 5. When you know that one angle of a parallelogram is a right angle, you can prove that the parallelogram is a rectangle. Draw a diagram and explain. 6. When you know that two consecutive sides of a parallelogram are congruent, you can prove that the parallelogram is a rhombus. Draw a diagram and explain. 7. Given: Rhombus EFGH a. F, being equidistant from E and G, must lie on the 2 of EG. b. H, being equidistant from E and G, must lie on the _ of EG. E of EG. c. From (a) and (b) you can deduce that FH is the 12 F + d. State the theorem of this section that you have just proved. LKAP is a right angle, and AM is a median. Complete. 8. If MP = 6, then MA 9. If MA = 1, then KP = 1. 10. If m LK = 40, then mZ KAM = 2. mL P M H 11. In the diagrams below, the red figures are formed by joining the midpoints of the sides of the quadrilaterals. a. What seems to be the common property of the red figures? b. Describe how you would prove your answer to part (a).
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