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).
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section: Chapter Questions
Problem 11PTTS
Related questions
Question
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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