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. ALWAYS, SOMETIMES, NEVER
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.

12. ALWAYS, SOMETIMES, NEVER
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
Always
sometimes

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

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

15. ∆ABC is a right ∆; M is the midpoint of AB.
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

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