What corresponds to the graph below?

Mathematics

1 answer:

babymother [125]3 years ago

4 0

Answer:

Step-by-step explanation:

Can you redo the picture

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AB bisects CD at point M, CD bisects AB at point M, and AB = 4 x CM. Describe the relationship between AM and CD

padilas [110]

$\text{Given that AB bisects the line segment CD at the point M,}\\
\text{And CD bisects the line segment AB at the point M. so M is the }\\
\text{midpoint of both the line segements AB and CD.}\\
\\
\text{also we have given a relation that, }AB=4\times CM\\
\text{and we need to find a relation between AM and CD.}\\
\\
\text{observe that since M is the midpoint of CD, so we have }CD=2\times CM\\
\\
\Rightarrow CM=\frac{CD}{2}$

$\text{and M is midpoint of AB, so }AB=2\times AM\\
\\
\text{so with these substitutions, the given realtion gives}\\
\\
AB=4\times CM\\
\\
\Rightarrow 2\times AM=4\times \frac{CD}{2}\\
\\
\Rightarrow 2\times AM=2\times CD\\
\\
\Rightarrow AM=CD$

Hence the relationship between AM and CD is : AM=CD

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