The coordinates of the vertices of quadrilateral JKLM are J(3,2), K(4,1), L(2,5) and M(5,2). Find the slope of each side of the quadrilateral and determine if the quadrilateral is a parallelogram?
JKLM is a parallelogram
So the slopes of the sides of our quadrilateral are:
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The slopes of the sides of the quadrilateral JKLM can be calculated using the formula:
$\text{Slope} = \frac{y_2  y_1}{x_2  x_1}$
Using the given coordinates:

Slope of side JK: $\text{Slope}_{JK} = \frac{1  2}{4  (3)} = \frac{3}{7}$

Slope of side KL: $\text{Slope}_{KL} = \frac{5  (1)}{2  4} = \frac{4}{2} = 2$

Slope of side LM: $\text{Slope}_{LM} = \frac{2  (5)}{5  2} = \frac{3}{7} = \frac{3}{7}$

Slope of side MJ (which is the same as the slope of side KL): $\text{Slope}_{MJ} = 2$
A quadrilateral is a parallelogram if opposite sides are parallel. For a quadrilateral to be a parallelogram, the slopes of opposite sides must be equal.
Here, the slopes are:
 Side JK and side LM: $\frac{3}{7} \neq \frac{3}{7}$
 Side KL and side MJ: $2 = 2$
Since only one pair of opposite sides have equal slopes, the quadrilateral JKLM is not a parallelogram.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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