Quadrilaterals Worksheet With Answers Page 32
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50We now have the following properties of a rectangle:
Properties of a Rectangle
1. Opposite sides of a rectangle are parallel.
2. Opposite sides of a rectangle are congruent.
3. Opposite angles of a rectangle are congruent.
4. Consecutive angles of a rectangle are supplementary.
5. The diagonals of a rectangle bisect each other.
6. The diagonals of a rectangle are congruent.
These properties will be applied in the following examples.
Examples
1. Given: Rectangle PORT with diagonals OT and PR
Find:
x and the indicated measures
T
R
P
O
a) OT = (7x – 13) in
PR = (4x + 11) in
x = _________
OT = _________
b) m ∠ TPR = 6x + 15
m ∠ RPO = 5x + 9
x = _______
m ∠ TPO = _______
2. Given:
ANGL with vertices A(-5,1), N(3,-7), G(7,-3), and L(-1,5)
Show
ANGL is a rectangle
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