SOLUTION: PQRS is a parallelogram . PQ = 2x+6, QR = 8 and RS = x+8 PQ and RS are opposite sides. What are the correct answers? Explain your work.
a) The Parallelogram PQRS is a rhombus
b
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Question 1075526: PQRS is a parallelogram . PQ = 2x+6, QR = 8 and RS = x+8 PQ and RS are opposite sides. What are the correct answers? Explain your work.
a) The Parallelogram PQRS is a rhombus
b) The diagonals are congruent
c) The length of PS is 8
d) The opposite angles are congruent
e)x = 2
f) The perimeter is 18
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
is a if two pairs of parallel sides, and the opposite or facing sides of a parallelogram are of equal length
a square, rhombus (all sides have equal length) and rectangle are also parallelograms
given:
,
and
since and are opposite sides => length
....substitute
..........solve for
so,
=>=>
too
since => forth side is
so, you have a rectangle and the correct answers are:
b) The diagonals are congruent
c) The length of is
d) The opposite angles are congruent
e)
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