1 / 16

Exploring Special Quadrilaterals: Rectangles, Rhombuses, and Squares

Dive into the properties of rectangles, rhombuses, and squares in quadrilaterals, including angles, sides, and diagonals. Understand the theorems related to these special shapes and how they contribute to the classification of parallelograms. Solve angle measurements in various quadrilaterals and practice with classwork and homework exercises.

noaks
Download Presentation

Exploring Special Quadrilaterals: Rectangles, Rhombuses, and Squares

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 5: QUADRILATERALS 5-4: Special Quadrilaterals

  2. RECTANGLES A rectangle is a quadrilateral that has four right angles. Because both pairs of opposite angles of a rectangle are congruent, a rectangle is a parallelogram.

  3. RHOMBUS A rhombus is a quadrilateral that has four congruent sides. Because both pairs of opposite sides of a rhombus are congruent, every rhombus is a parallelogram.

  4. SQUARE A square is a quadrilateral with four right angles and four congruent sides. Because both pairs of opposite angles and sides are congruent, all squares are parallelograms.

  5. THEOREM 5-12 THEOREM 5-12 The diagonals of a rectangle are congruent.

  6. THEOREM 5-13 THEOREM 5-13 The diagonals of a rhombus are perpendicular.

  7. THEOREM 5-14 THEOREM 5-14 Each diagonal of a rhombus bisects two angles of the rhombus.

  8. THEOREM 5-15 THEOREM 5-15 The midpoint of the hypotenuse of a right triangle is equidistant from the three vertices.

  9. THEOREM 5-16 THEOREM 5-16 If an angle of a parallelogram is a right angle, then the parallelogram is a rectangle.

  10. THEOREM 5-17 THEOREM 5-17 If two consecutive sides of a parallelogram are congruent, then the parallelogram is a rhombus.

  11. A square is ______ a rhombus. The diagonals of a parallelogram ______ bisect the angles of the parallelogram. A quadrilateral with one pair of sides congruent and one pair parallel is ______ a parallelogram. The diagonals of a rhombus are ______ congruent. Always Sometimes Sometimes Sometimes ALWAYS, SOMETIMES, NEVER

  12. A rectangle ______ has consecutive sides congruent. A rectangle ______ has perpendicular diagonals. The diagonals of a rhombus ______ bisect each other. The diagonals of a parallelogram are ______ perpendicular bisectors of each other. Sometimes Sometimes Always sometimes ALWAYS, SOMETIMES, NEVER

  13. ACD DEC EDC ABC 62 90 28 56 A B Quadrilateral ABCD is a Rhombus.Find the measure of each angle. E 62 D C

  14. m PON = m PMO = PL = MO = 90 61 12 24 M N Quadrilateral MNOP is a rectangle.Complete: 29 12 L P O

  15. If AM = 7, then MB = _____, AB = _____, and CM = _____. If AB = x, then AM = _____, MB = _____, and MC = _____. 7, 14, 7 x/2, x/2, x/2 ∆ABC is a right ∆; M is the midpoint of AB. A M C B

  16. CLASSWORK/HOMEWORK • Pg. 186, Classroom Exercises 1-11 • Pg. 187, Written Exercises 2-18 even.

More Related