1 / 16

5-1 & 5-2

5-1 & 5-2. Parallelogram. Parallelogram. A ______________________ with both pairs of opposite sides __________________ is a parallelogram. A. B. D. C. Properties of Parallelograms. Opposite sides of a parallelogram are ____________________.

jesus
Download Presentation

5-1 & 5-2

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 5-1 & 5-2 Parallelogram

  2. Parallelogram • A ______________________ with both pairs of opposite sides __________________ is a parallelogram. A B D C

  3. Properties of Parallelograms • Opposite sides of a parallelogram are ____________________. • Opposite angles of a parallelogram are _____________________. • Diagonals of a parallelogram ____________________ each other.

  4. PQRS is a parallelogram. Complete. • If , then . • If , then , and . Q 2 1 R X P 3 S

  5. Answer questions 1 & 2 using the diagram below • PQRS is a parallelogram. Q 2 1 R X P 3 S

  6. The quadrilateral is a parallelogram. Find the values of a, b, x, and y. a x˚ 7 b y˚ 112˚ 12 b x˚ y˚ 6 a 74˚ 60˚ 5

  7. Given: TRAC is a parallelogram. Complete. • If and , then . • If and , then . T R 3 4 K 1 2 C A

  8. Answer questions 5-7 using the diagram below • Given: TRAC is a parallelogram. Complete. T R 3 4 K 1 2 C A

  9. Complete the proof. B Y C Given: ABCD is a parallelogram; Prove: 1 2 A X D

  10. Ways to Prove that Quadrilaterals are Parallelograms • Definition of a Parallelogram • If both pairs of opposite sides of a quadrilateral are ___________________, then the quadrilateral is a _____________________. • If one pair of opposite sides of a quadrilateral are both ________________ and ________________, then the quadrilateral is a ____________________. • If both pairs of opposite angles of a quadrilateral are __________________, then the quadrilateral is a _____________________. • If the diagonals of a quadrilateral ___________________ each other, then the quadrilateral is a _____________________.

  11. Decide if each quadrilateral must be a parallelogram. If the answer is yes, state the definition or theorem that applies. • 2. 12 100˚ 6 6 100˚ 75˚ 105˚ 12

  12. Answer questions 9-12

  13. What theorem or definition enables you to deduce that AEIO is a parallelogram? • ; O • ; A E U O I

  14. Answer questions 13 & 14 using the diagram below A E U O I

  15. What values must x and y have to make the quadrilateral a parallelogram? • 2. 3y˚ y + 12 2x 3y – 8 x + 9 (2x-5)˚ 123˚ Now answer question 13!

  16. The statements for the following proof have been provided. Number them in an appropriate order, and supply the reasons. (There may be more than one correct order) Given: WXYZ is a parallelogram; ; Prove: MNYZ is a parallelogram Statements (___) (___) (___) WXYZ is a parallelogram (___) MNYZ is a parallelogram (___) ; X W M N Z Y

More Related