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Geo 62 Lesson with notes 3rd b.notebook
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February 16, 2016
Jan 226:41 PM
62 Parallelograms
Learning Targets:I can recognize and apply properties of the sides and angles of
parallelogramsI can recognize and apply properties of the diagonals of
parallelograms
What properties make the figure formed by the arms, the post, and the goal a parallelogram?
What happens to the measure of the angles as the goal is lowered from 10 feet to 5 feet?
What conjectures can you make about the relationship among and between the four angles regardless of the height of the goal?
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Geo 62 Lesson with notes 3rd b.notebook
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February 16, 2016
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Geo 62 Lesson with notes 3rd b.notebook
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February 16, 2016
Jan 226:47 PM
Parallelogram: a quadrilateral with both pairs of opposite sides parallel. Named by the symbol and capitol letters of the vertices.
Jan 226:50 PM
Geo 62 Lesson with notes 3rd b.notebook
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Example 1:
In ABCD, suppose m<B = 32, CD = 80 inches, BC = 15 inches. Find each measure.
1. AD
2. m<C 3. m<D
Geo 62 Lesson with notes 3rd b.notebook
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February 16, 2016
Jan 226:59 PM
The wallmounted mirror shown uses parallelograms that change shape as the arm is extended. In JKLM, suppose m<J = 47. Find each measure.
4. m<L
5. m<M
6. Suppose the arm was extended further so that m<J = 90. What would be the measure of each of the other angles? Justify your answer.
Jan 227:05 PM
Geo 62 Lesson with notes 3rd b.notebook
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Example 2:
If WXYZ is a parallelogram, find the value of the indicated variable.
7. r 8. s 9. t
Geo 62 Lesson with notes 3rd b.notebook
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February 16, 2016
Jan 227:14 PM
Find the value of each variable in the given parallelogram.
10. 11.
Jan 227:16 PM
Geo 62 Lesson with notes 3rd b.notebook
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Example 3:
12. What are the coordinates of the intersection of the diagonals of parallelogram MNPR, with vertices M(3, 0), N(1, 3), P(5, 4), and R(3, 1)?
Jan 227:21 PM
13. Determine the coordinates of the intersection of the diagonals of RSTU with vertices R(8, 2), S(6, 7), T(6, 7), and U(4, 2).
Geo 62 Lesson with notes 3rd b.notebook
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February 16, 2016
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Example 4:
14. Write a two column proof. Given: ABCD, AC and BD are diagonals, and point P is the intersection of AC and BD.
Prove: AC and BD bisect each other.