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- Angle Sum Property of a Quadrilateral
- Types of Quadrilaterals
- Another Condition for a Quadrilateral to Be a Parallelogram
- The Mid-point Theorem
- Property: The Opposite Sides of a Parallelogram Are of Equal Length.
- Theorem: A Diagonal of a Parallelogram Divides It into Two Congruent Triangles.
- Theorem : If Each Pair of Opposite Sides of a Quadrilateral is Equal, Then It is a Parallelogram.
- Property: The Opposite Angles of a Parallelogram Are of Equal Measure.
- Theorem: If in a Quadrilateral, Each Pair of Opposite Angles is Equal, Then It is a Parallelogram.
- Property: The diagonals of a parallelogram bisect each other. (at the point of their intersection)
- Theorem : If the Diagonals of a Quadrilateral Bisect Each Other, Then It is a Parallelogram
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notes
Consider the polynomial `p(x) = 5x^3 – 2x^2 + 3x – 2`.
If we replace x by 1 everywhere in p(x), we get
`p(1) = 5 × (1)^3 – 2 × (1)^2 + 3 × (1) – 2`
= 5 – 2 + 3 –2
= 4
So, we say that the value of p(x) at x = 1 is 4.
Similarly, the polynomial p(x) = x – 1.
p(1) = 1 – 1 = 0. As p(1) = 0, we say that 1 is a zero of the polynomial p(x).
A non-zero constant polynomial has no zero. Every real number is a zero of the zero polynomial.
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