6.4 Special Parallelograms
Kill Again
Sigh Land
Gilligan’s Island
Meat Are
Sin Hue
Chain
Me Tarzan, You Jane
Theorem
Theorem 6.9: Each diagonal of a rhombus bisects two angles of
the rhombus.
Theorem
Theorem 6.10: The diagonals of a rhombus are perpendicular.
AC  BD
Applications
Find the measures of the numbered angles of the rhombuses.
Theorem
Theorem 6.11: The diagonals of a rectangle are congruent.
Statements
Reasons
1.
2. ABCD is a parallelogram
1.
2.
3. AB  DC
4. BC  BC
5. ABC and DCB are rt. s
6. ABC  DCB
3.
4.
5.
7. ABC  DCB
8. AC  BD
6.
7.
8.
Applications
Find the length of segment FD in
rectangle GFED if FD = 3y + 4 and
GE = 6y – 5.
CONVERSES…
Theorem 6.12: If one diagonal of a parallelogram bisects two
angles of the parallelogram, the parallelogram is a rhombus.
Theorem 6.13: If the diagonals of a parallelogram are
perpendicular, the parallelogram is a rhombus.
Theorem 6.14: If the diagonals of a parallelogram are congruent,
then the parallelogram is a rectangle.
Applications
Can you conclude that the parallelogram is a rhombus or a
rectangle? Explain.
6.4 Special Parallelograms
Thick How
Worldly
Line
THT: Can do
Quiz 6.1-6.3
everythingThe
BUT
Cowardly Lion
TOMORROW!
8, 12, 13, 25
Well Comb
Tooth He
Junk Kill
HW 6.4:1-15
odd,
16-18,
21,
25-34
Welcome to the Jungle