Properties of a rhombus:
1. Opposite sides parallel.
2. Opposite sides congruent.
3. Opposite angles congruent.
4. Consecutive angles supplementary.
5. Diagonals bisect each other.
6. Four congruent sides.
7. Diagonals are perpendicular.
8. Diagonals bisect opposite angles.
EXAMPLE 6
S
T
Given Rhombus RSTV, if m ∠ RST = 67 ° , find m ∠ RSW.
W
R
V
EXAMPLE 7
Given Rhombus RSTV, find m ∠ SVT if m ∠ STV = 135 ° .
S
T
W
R
V
EXAMPLE 8
In rhombus DLMP, DM = 24, m ∠ LDO = 43 ° , and DL = 13. Find each of the following.
L
D
a) OM = _____________
O
b) m ∠ DOL = ___________
m ∠ DLO = ___________
c)
M
P
d) m ∠ DML = ___________
e) DP = ____________