Download CP Geometry Mr. Gallo

CP Geometry
Mr. Gallo
Types of Special Parallelograms
 Rhombus
 A parallelogram with 4 congruent sides
 Rectangle
 Parallelogram with 4 right angles
 Square
 A parallelogram with 4 congruent sides and 4
congruent angles
Theorem 6-13
If a parallelogram is a rhombus, ________________
then its diagonals
__________________.
are perpendicular
B
A
D
C
So, AC  ____
DB
Remember all the properties of parallelograms are also
true for the special parallelograms
Theorem 6-14
If a parallelogram is a rhombus, __________________
then each diagonal
_____________________________.
bisects a pair of opposite angles
B
A
1
3
2
4
7
8
D
6
5
C
Then the following angles are congruent:
1  ____
3  ____
2
4
6
5  ____
8
7  ____
Properties of Rhombi
QS
PR and _______
Name the diagonals: _______
Q
If mP  140, then:
5 in
P
R
a). mS  _____
40
b). mQ  _____
40
70
c). mR  _____
140 d). mSPR  _____
S
e). mQPR  _____
20
70 f). mQSR  _____
g). SR  _____
5 in.
h). PS  _____
5 in.
Theorem 6-15
If a parallelogram is a rectangle, _________________
then its diagonals
______________.
are congruent
A
B
D
C
AC & ____
BD
The diagonals of rectangle ABCD are: ____
Complete Got It? #3 p. 378
a. 43
So, ____
AC  _____
BD
b. Isosceles; diagonals of a rectangle are ≅ and bisect each other.
Homework: p.379 #10-38 even, 50-54 even, 55-58