Quadrilaterals Worksheet With Answers Page 17

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Solutions:
1. a)
KP
PA
The diagonals of a
bisect each other.
b) KR
AM
The opposite sides of a
are parallel.
c)
AP
KP
The diagonals of a
bisect each other.
d)
KM
AR
The opposite sides of a
are parallel.
e) ∠ K + ∠ M = 180 °
Consecutive angles of a parallelogram are
supplementary; supplementary ∠ s = 180 ° .
f) KM
AR
The opposite sides of a
are parallel.
g) ∠ KMA ≅ ∠ KRA
The opposite angles of a
are congruent.
2. PT = TR
(The diagonals of a
bisect each other.)
2x + y = 7
(Substitution)
x + y = 5
(ST = TQ and substitution)
x = 2
(Subtraction property of equality)
2 + y = 5
(Substitution)
y = 3
(Subtraction property of equality)
PQ = (x + y + 1)
(Given)
PQ = (2 + 3 + 1) = 6 cm
(Substitution)

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