1 / 17

Warm Up

Find the measures of each exterior angle and interior angle for each regular polygon:. 1. decagon. Warm Up. Section 8.4a Properties of Rhombuses, Rectangle, and Squares. Parallelogram. Rectangle. Rhombus. Both pairs of opposite sides are parallel. Square. Quadrilateral.

sydnee-barron
Download Presentation

Warm Up

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. Find the measures of each exterior angle and interior angle for each regular polygon: 1. decagon Warm Up

  2. Section 8.4a Properties of Rhombuses, Rectangle, and Squares

  3. Parallelogram Rectangle Rhombus Both pairs of opposite sides are parallel. Square Quadrilateral A quadrilateral is a four-sided figure.

  4. Rhombus • Four congruent sides • Diagonals bisect a pair of opposite angles • Diagonals are perpendicular

  5. Rectangle • Four right angles B A • Diagonals are congruent D C Square • Four right angles and four congruent sides (it’s a rhombus and a rectangle)

  6. It’s Parallelogram v.s Rhombus

  7. Parallelogram Rhombus • Opposite sides are parallel • Four congruent sides • Opposite sides are congruent • Diagonals are perpendicular • Opposite angles are congruent • Diagonals bisect a pair of opposite angles • Diagonals bisect each other • Consecutive angles are supplementary

  8. Theorem 8.12: A parallelogram is a rhombus if and only if eachdiagonal bisects a pair of opposite angles. A B D C Theorem 8.11: A parallelogram is a rhombus if and only if its diagonals are perpendicular.

  9. It’s Parallelogram v.s Rectangle

  10. Parallelogram Rectangle A B • Opposite sides are parallel • Four right angles • Opposite sides are congruent D C • Diagonals are congruent • Opposite angles are congruent • Diagonals bisect each other • Consecutive angles are supplementary

  11. Theorem 8.13: A parallelogram is a rectangle if and only if eachdiagonal are congruent. A B D C

  12. Quadrilateral Parallelogram Rhombus Rectangle Square

  13. Examples For any rhombus QRST, decide whether the statement is always or sometimes true. Draw a sketch and explain your reasoning. Q R • Q  S • Q  R T S

  14. For any rectangle ABCD, decide whether the statement is always or sometimes true. Draw a sketch and explain your reasoning. A B • AB  CD • AB  BC D C

  15. Quadrilateral Name each quadrilateral – PARALLELOGRAM, RECTANGLE, RHOMBUS, and SQUARE – for which the statement is true. Parallelogram 1. Its equiangular and equilateral 2. Opposite sides are congruent 3. The diagonals bisect opposite angles Rhombus Rectangle 4. Four right angles 5. All consecutive angles are supplementary Square

  16. Quadrilateral Parallelogram Rhombus Rectangle Square

  17. Homeworktextbook p5373-23 odd

More Related