1. Rhombi And Squares Chapter 6 Section 5

2. Rhombus A rhombus is a parallelogram with four congruent sides

3. Properties of a Rhombus Opposite sides are congruent Opposite angles are congruent Consecutive angles are supplementary Diagonals bisect each other Plus, Diagonals are Perpendicular And, Diagonals bisect each pair of opposite angles

4. Square A square is a parallelogram with four congruent sides and four right angles. Since a square is a parallelogram with four congruent sides, a square is also a Rhombus Since a square is a parallelogram with four right angles, a square is also a rectangle.

5. Properties of a Square Opposite sides are congruent (duh) Opposite angles are congruent (duh) Consecutive angles are supplementary Diagonals bisect each other Plus, diagonals are congruent (since a square is a rectangle) Plus, diagonals are perpendicular (since a square is a rhombus) And, diagonals bisect each pair of opposite angles (rhombus)

6. Diagonals of a Rhombus

7. Example We know that the diagonals of a rhombus bisects the two angles of the rhombus and that the diagonals are perpendicular, so find the measures of the numbered angles in each of the following:

8. Something to think about.... SO, A SQUARE HAS ALL THE PROPERTIES OF A RECTANGLE AND A RHOMBUS

9. IN ORDER TO BE A RECTANGLE, THE ONLY STIPULATION IS A PARALLELOGRAM WITH 4 RIGHT ANGLES. DO YOU THINK A SQUARE IS ALWAYS A RECTANGLE? IS A RECTANGLE ALWAYS A SQUARE? IN ORDER TO BE A SQUARE IT MUST HAVE FOUR RIGHT ANGLES AND FOUR CONGRUENT SIDES!!

10. IN ORDER TO BE A RHOMBUS, THE ONLY STIPULATION IS A PARALLELOGRAM WITH FOUR CONGRUENT SIDES. DO YOU THINK A SQUARE IS ALWAYS A RHOMBUS? IN ORDER TO BE A SQUARE, THE FIGURE MUST HAVE 4 CONGRUENT SIDES AND FOUR RIGHT ANGLES! IS A RHOMBUS ALWAYS A SQUARE?

11. What’s the most precise name? (parallelogram, rhombus, square, rectangle)

12. Find the value of the variables...

13. Try this one…(from your worksheet…)

14. Cute!

15. Have a great day!!!

16. Chemistry Comic

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