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And the Countdown Begins…2 more weeks until the Start of Finals!

And the Countdown Begins…2 more weeks until the Start of Finals!. Please take out the following: Notes from yesterday Homework Write down tonight’s Homework in your homework log Pg. 422: #1-4, 11-19, 24-26, 28. Whiteboards. Fill in the blank:

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And the Countdown Begins…2 more weeks until the Start of Finals!

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  1. And the Countdown Begins…2 more weeks until the Start of Finals! Please take out the following: • Notes from yesterday • Homework • Write down tonight’s Homework in your homework log • Pg. 422: #1-4, 11-19, 24-26, 28

  2. Whiteboards Fill in the blank: If a parallelogram is a rhombus, then its diagonals are ___. If a parallelogram is a rectangle, then its diagonals are ___. If a quadrilateral is a rectangle, then it is a _____________. If a parallelogram is a rhombus, then each diagonal ______ a pair of opposite angles. If a quadrilateral is a rhombus, then it is a_____________. If a quadrilateral is a square, then it has the properties of a __________ and _____________.

  3. Whiteboards A woodworker constructs a rectangular picture frame so that JK = 50 cm and JL = 86 cm. a) Find HM.

  4. Whiteboards CDFG is a rhombus. a) Find CD. b) mGCH if mGCD = (b + 3)° and mCDF = (6b – 40)°

  5. Whiteboards PQRSis a rhombus. Find each measure. • QP • mQRP

  6. Whiteboards The rectangular gate has diagonal braces. • Find HJ. • Find HK

  7. 6-4 Properties of Special Parallelograms Try Example 3. If you need help, talk to your neighbors first, then ask me. Example 3

  8. 6-4 Properties of Special Parallelograms Try Example 4. If you need help, talk to your neighbors first, then ask me. Example 4 Given: PQTS is a rhombus with diagonal Prove:

  9. 6-5 Conditions forSpecial Parallelograms Learning Objective: • SWBAT prove that a given quadrilateral is a rectangle, rhombus or square.

  10. Important To use any theorems we discuss today, it is IMPORTANT that you first prove that the quadrilateral is a parallelogram.

  11. Conditions for Rectangle

  12. Example 1: A manufacture builds a mold for a desktop so that , , and mABC = 90°. Why must ABCD be a rectangle?

  13. Conditions for Rhombuses

  14. Conditions for a Square • To prove that a quadrilateral is a square, you need to show that it is both a rectangle AND a rhombus.

  15. Example 2:Applying Conditions for Special Parallelograms Determine if the conclusion is valid. If not, tell what additional information is needed to make it valid. Given: Conclusion: EFGH is a rhombus.

  16. Example 2:Applying Conditions for Special Parallelograms Determine if the conclusion is valid. If not, tell what additional information is needed to make it valid. Given: Conclusion: EFGH is a square.

  17. Whiteboard Determine if the conclusion is valid. If not, tell what additional information is needed to make it valid. Given:ABC is a right angle. Conclusion:ABCD is a rectangle.

  18. Example 3: Identifying Special Parallelograms in the Coordinate Plane Use the diagonals to determine whether a parallelogram with the given vertices is a rectangle, rhombus, or square. Give all the names that apply. P(–1, 4), Q(2, 6), R(4, 3), S(1, 1)

  19. P(–1, 4), Q(2, 6), R(4, 3), S(1, 1)

  20. Whiteboards Given that AB = BC = CD = DA, what additional information is needed to conclude that ABCD is a square?

  21. Whiteboards Determine if the conclusion is valid. If not, tell what additional information is needed to make it valid. Given:PQRS and PQNM are parallelograms. Conclusion:MNRS is a rhombus. valid

  22. 15 Second Share Take 15 seconds to share with the person behind you something NEW you learned today. Take 15 seconds to share with the person diagonal to you something NEW you learned today. BE READY TO SHARE OUT!

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