Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show that quadrilateral ABCD is a parallelo
gram by finding the lengths of the opposite side pairs. What is the length of BC?
2 answers:
BC is the length of AD because they are parallel. Have a nice day
Answer:
BC is 8 units length
Step-by-step explanation:
The following information is missing in the question:
AB= 4x
CD= 2y
AD= y + 4
BC= 2y
Given that ABCD is a parallelogram, then the opposite sides are congruent. That means:
AB = CD -> 4x = 2y (eq. 1)
BC = AD -> 2y = y + 4 (eq. 2)
Solving equation 2:
2y = y + 4
2y - y = 4
y = 4
Solving equation 1:
4x = 2*4
x = 8/4
x = 2
This means that
BC = 2*4 = 8 units length
CD = 2*4 = 8 units length
AB= 4*2 = 8 units length
AD= 4 + 4 = 8 units length
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If each is similar, then 6 times (5) = 30
therefore 8 times (5) = 6X - 8
40 = 6X - 8
add 8 to both sides 48 = 6X
divide by 6 8 = X
