3 years ago

Can someone please help me with this

1 answer:

exis [7]3 years ago

3 0

Its 44* as well because of opp angles theorem.

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Answer:

The parallelogram is a rhombus.

Step-by-step explanation:

Length of diagonal JL is = $\sqrt{(- 8 - 4)^{2} + (- 2 - ( - 6))^{2} } = \sqrt{160}$ units.

And the length of diagonal KM is = $\sqrt{(- 1 - (- 3))^{2} + (- 7 - ( - 1))^{2} } = \sqrt{40}$ units.

So, JL ≠ KM so, the parallelogram is neither rectangle nor a square.

Now, Slope of line JL = $\frac{-2 - ( - 6)}{4 - (- 8)} = \frac{1}{3}$

Again, slope of KM = $\frac{-7 - ( - 1)}{- 1 - ( - 3)} = - 3$

Therefore, the product of slope of JL and KM is - 1 and hence, JL ⊥ KM

And therefore, the parallelogram is a rhombus. (Answer)

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