Complete the proof to show that ABCD is a parallelogram.

Mathematics

1 answer:

LuckyWell [14K]2 years ago

6 0

In the proof given, BC║AD and CD║BA because: B. slopes of opposite sides are equal.

<h3>What is the Slope of Parallel Lines?</h3>

If two lines are parallel, they will have the same slope value,.

Slope = rise/run.

Slope of BC = rise/run = -2/5

Slope of AD = -2/5

Slope of BA = rise/run = -6/1 = -6

Therefore, we can conclude that BC║AD and CD║BA because: B. slopes of opposite sides are equal.

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2 years ago

Assessment items What is the quotient? 1 5/8 ÷(−1 3/5 )

Solnce55 [7]

We need convert the mixed numbers to improper fractions.

$1\dfrac{5}{8}=\dfrac{1\cdot8+5}{8}=\dfrac{8+5}{8}=\dfrac{13}{8}\\\\1\dfrac{3}{5}=\dfrac{1\cdot5+3}{5}=\dfrac{5+3}{5}=\dfrac{8}{5}$

Divide the number by a fraction, this is the same as multiply this number by the reciprocal of the fraction:

$1\dfrac{5}{8}\div\left(-1\dfrac{3}{5}\right)=-\dfrac{13}{8}\div\dfrac{8}{5}=-\dfrac{13}{8}\cdot\dfrac{5}{8}=-\dfrac{(13)(5)}{(8)(8)}=-\dfrac{65}{64}\\\\\boxed{1\dfrac{5}{8}\div\left(-1\dfrac{3}{5}\right)=-1\dfrac{1}{64}}$