1. Module 9, Lessons 9.3 and 9.4 – Rectangles, Rhombuses, Squares
Today you will need:
Your notes
Your textbook
Rhombus
Start a fresh page in your notebook.
Split the page into three even sections.
Label the sections:
-Rectangle
-Rhombus
-Square
Square

2. Module 9, Lessons 9.3 and 9.4 – Rectangles, Squares, and Rhombuses
Rectangle – a parallelogram with four right angles

3. Module 9, Lessons 9.3 and 9.4 – Rectangles, Squares, and Rhombuses
Rhombus – a parallelogram with four congruent sides

4. Module 9, Lessons 9.3 and 9.4 – Rectangles, Squares, and Rhombuses
Square – a parallelogram with four right angles and four congruent sides

5. Module 9, Lessons 9.3 and 9.4 – Rectangles, Squares, and Rhombuses
Facts about Rectangles, Squares, and Rhombuses
All angles are right angles
All sides are congruent
All angles are right angles
&
All sides are congruent

6. Module 9, Lessons 9.3 and 9.4 – Rectangles, Squares, and Rhombuses
Facts about Rectangles, Squares, and Rhombuses

7. Module 9, Lessons 9.3 and 9.4 – Rectangles, Squares, and Rhombuses
Facts about Rectangles – a rectangle IS a parallelogram so….
Opposite sides of a rectangle are both parallel and congruent.

8. Module 9, Lessons 9.3 and 9.4 – Rectangles, Squares, and Rhombuses
Facts about Rectangles

9. Module 9, Lessons 9.3 and 9.4 – Rectangles, Squares, and Rhombuses
Facts about Rectangles

10. Module 9, Lessons 9.3 and 9.4 – Rectangles, Squares, and Rhombuses
Facts about Rectangles

11. Module 9, Lessons 9.3 and 9.4 – Rectangles, Squares, and Rhombuses
Facts about Rectangles
The two triangles are congruent by SAS, therefore their hypotenuses are congruent.

12. Module 9, Lessons 9.3 and 9.4 – Rectangles, Squares, and Rhombuses
Facts about Rectangles
The two triangles are congruent by SAS, therefore their hypotenuses are congruent.

13. Module 9, Lessons 9.3 and 9.4 – Rectangles, Squares, and Rhombuses
Facts about Rectangles
Therefore the diagonals of a rectangle are always…
CONGRUENT

14. Module 9, Lessons 9.3 and 9.4 – Rectangles, Squares, and Rhombuses
Facts about Rhombuses (Rhombi) – a rhombus IS a parallelogram so….
The diagonals of a rhombus bisect each other.

15. Module 9, Lessons 9.3 and 9.4 – Rectangles, Squares, and Rhombuses
Facts about Rhombuses (Rhombi) – a rhombus IS a parallelogram so….
Notice that the blue triangle and the purple triangle are congruent.

16. Module 9, Lessons 9.3 and 9.4 – Rectangles, Squares, and Rhombuses
Facts about Rhombuses (Rhombi) – a rhombus IS a parallelogram so….
Therefore angles 1 and 2 must be congruent.
Angles 1 and 2 are also a linear pair. 1 2
For angles to be congruent and form a linear pair, they must each be…

17. Module 9, Lessons 9.3 and 9.4 – Rectangles, Squares, and Rhombuses
Facts about Rhombuses (Rhombi) – a rhombus IS a parallelogram so….
RIGHT ANGLES

18. Module 9, Lessons 9.3 and 9.4 – Rectangles, Squares, and Rhombuses
Facts about Rhombuses (Rhombi) – a rhombus IS a parallelogram so….
The diagonals of a rhombus are perpendicular bisectors of each other.
The angles created by their intersection are always right angles.

19. Module 9, Lessons 9.3 and 9.4 – Rectangles, Squares, and Rhombuses
Facts about Rhombuses (Rhombi) – a rhombus IS a parallelogram so….
Since the four triangles created by the diagonals of a rhombus are congruent right triangles, the diagonals also BISECT each vertex angle!

20. Module 9, Lessons 9.3 and 9.4 – Rectangles, Squares, and Rhombuses
Facts about Squares – a square IS a parallelogram, a rectangle, and a rhombus
The diagonals of a square are:
-Congruent
-Bisect Each other
-Form right angles

21. Module 9, Lessons 9.3 and 9.4 – Rectangles, Squares, and Rhombuses

22. Module 9, Lessons 9.3 and 9.4 – Rectangles, Squares, and Rhombuses

23. Module 9, Lessons 9.3 and 9.4 – Rectangles, Squares, and Rhombuses

24. Module 9, Lessons 9.3 and 9.4 – Rectangles, Squares, and Rhombuses
If ABCD is a square, and BC = 10 cm, what is the length of AC? B C