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3 years ago

14

If i know opposite sides of a quadrilateral , is it a parallelogram

1 answer:

kumpel [21]3 years ago

4 0

Answer:

Yes and no

Step-by-step explanation:

If the opposite sides of the quadrilateral are the same length yes but if they aren't then its not true

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4 years ago

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natali 33 [55]

The complete flow proof is:

<em /> $\angle 5 = 40^o$ <em> ---- Given</em>
<em> </em> $\angle 2 = 140^o$ <em> ---- Given</em>
<em /> $\angle 5 + \angle 2 = 180^o$ <em> ----- </em> $\angle 5$ <em> and </em> $\angle 2$ <em> are supplementary angles</em>
<em /> $\angle 5 + \angle 2 = 180^o$ <em> ----- </em> $\angle 5$ <em> and </em> $\angle 2$ <em> are same-side interior angles</em>
<em /> $a ||b$ <em> ----- Proved</em>

We have:

$\angle 5 = 40^o$

$\angle 2 = 140^o$

<u>The proof of </u> $a ||b$ <u> is as follows:</u>

The first statement is:

$\angle 5 = 40^o$ ---- Given

The next statement is:

$\angle 2 = 140^o$ ---- Given

Supplementary angles add up to $180^o$ .

So, the third statement is:

$\angle 5 + \angle 2 = 180^o$ ----- $\angle 5$ and $\angle 2$ are supplementary angles

Same side of interior angles add up to $180^o$ .

So, the fourth statement is:

$\angle 5 + \angle 2 = 180^o$ ----- $\angle 5$ and $\angle 2$ are same-side interior angles

Because the angles are supplementary angles and also same-side interior angles, then it means that <em>line a is parallel to line b</em>

So, the last statement is:

$a ||b$ ----- Proved

Read more about proofs of parallel lines at:

brainly.com/question/18396272

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3 years ago