How do you prove that quadrilateral ABCD is a parallelogram with A(2,1) B(1,2) C(5,2) D (2,1) using slope?
Please see below.
As slopes of alternate sides of quadrilateral are equal, alternate sides are parallel to each other
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To prove that quadrilateral ABCD is a parallelogram using slopes, we need to show that the slopes of opposite sides are equal.

Find the slopes of the line segments AB, BC, CD, and DA using the formula: [ \text{Slope} = \frac{{\text{change in }} y}{{\text{change in }} x} ]

Calculate the slopes for segments AB, BC, CD, and DA.

Show that the slopes of opposite sides are equal: [ \text{Slope of AB} = \text{Slope of CD} ] [ \text{Slope of BC} = \text{Slope of DA} ]
If the slopes of opposite sides are equal, then the quadrilateral ABCD is a parallelogram.
Performing these steps will demonstrate that ABCD is a parallelogram based on the equality of slopes of opposite sides.
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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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