Download 6.4 special paralellogram

Week
14 day 1
A ceramic tile is in the shape of a 30°-60°-90° triangle. The
side across from the 30° angle is 6.25 cm long. How long
is the hypotenuse of the tile?
A
B
C
D
3.125 cm
6.25
3
12.5 cm
15 cm
cm
6
6.4 Special
Parallelograms
Pardekooper
What makes a rhombus
special?
• All sides are congruent
Pardekooper
What makes a rectangle
special?
• Four right angles
Pardekooper
Put them together and what
do you have?
• A square
Pardekooper
Now, we look at some theorems
• Each diagonal of a rhombus
bisects two angles of the
rhombus.
Pardekooper
Now, we look at some theorems
• The diagonals of a rhombus
are perpendicular.
Pardekooper
Now, we look at some theorems
• The diagonals of a rectangle
are congruent.
Pardekooper
Now, we look at some theorems
• If one diagonal of a
parallelogram bisects two
angles of the parallelogram,
then the parallelogram is a
rhombus.
Pardekooper
Now, we look at some theorems
• If the diagonal of a
parallelogram are
perpendicular, then the
parallelogram is a rhombus.
Pardekooper
Now, we look at some theorems
• If the diagonal of a
parallelogram are congruent,
then the parallelogram is a
rectangle.
Pardekooper
OK, here comes a problem.
ABCD is a rhombus. Solve for X, Y, & Z.
A
Z = 260
X
D
B
Y
Y+260+260 = 1800
Y+520 = 1800
-520 -520
Y = 1280
Z
C
X = 1280
Pardekooper
And now the assignment.
Pardekooper
Assignment
Workbook
Page 363 all
Pardekooper
Pardekooper
Pardekooper
Pardekooper
Pardekooper