1 / 14

Chapter 6: Quadrilaterals

Chapter 6: Quadrilaterals. 6.4 Special Parallelograms. Review. Theorem 6-9. Each diagonal of a rhombus bisects two angles of the rhombus. Theorem 6-10. The diagonals of a rhombus are perpendicular. Example 1. MNPQ is a rhombus. Find the measures of the numbered angles. Example 1a.

willis
Download Presentation

Chapter 6: Quadrilaterals

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. Chapter 6: Quadrilaterals 6.4 Special Parallelograms

  2. Review

  3. Theorem 6-9 • Each diagonal of a rhombus bisects two angles of the rhombus.

  4. Theorem 6-10 • The diagonals of a rhombus are perpendicular.

  5. Example 1 • MNPQ is a rhombus. Find the measures of the numbered angles.

  6. Example 1a • Find the measures of the numbered angles in the rhombus.

  7. Theorem 6-11 • The diagonals of a rectangle are congruent.

  8. Example 2 • Find the length of FD in the rectangle if • FD = 2y + 4 and GE = 6y – 5.

  9. Theorem 6-12 • If one diagonal of a parallelogram bisects two angles of the parallelogram, then the parallelogram is a rhombus. • (converse of Th. 6-9)

  10. Theorem 6-13 • If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus. • (converse of 6-10)

  11. Theorem 6-14 • If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle. • (converse of Th. 6-11)

  12. Example 3 • Is the parallelogram a rhombus or a rectangle or neither?

  13. Example 3 • Is the parallelogram a rhombus or a rectangle or neither?

  14. Homework • P. 332 • 2-18 even, 22, 40, 44, 46, 50, 52

More Related