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 Theorem: A Diagonal of a Parallelogram Divides It into Two Congruent Triangles.
 Another Condition for a Quadrilateral to Be a Parallelogram
 The Midpoint Theorem
 Theorem: A Diagonal of a Parallelogram Divides It into Two Congruent Triangles.
 Property: The Opposite Sides of a Parallelogram Are of Equal Length.
 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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definition
 Linear Equation in One Variable: If there is only one variable in the equation then it is called a linear equation in one variable.
notes
Linear Equation in One Variable:
If there is only one variable in the equation then it is called a linear equation in one variable. These are called linear equations in one variable because the highest degree of the variable is one.
These are linear expressions:
2x, 2x + 1, 3y – 7, 12 – 5z, `5/4(x  4) + 10`
These are not linear expressions:
x^{2} + 1, y + y^{2}, 1 + z + z^{2} + z^{3}. ....(since highest power of variable > 1)
The general form is ax + b = c, where a, b and c are real numbers and a ≠ 0.
Example:
x + 5 = 10, y – 3 = 19.
Some Important points related to Linear Equations:

There is an equality sign in the linear equation. The expression on the left of the equal sign is called the LHS (lefthand side) and the expression on the right of the equal sign is called the RHS (righthand side).

In the linear equation, the LHS is equal to RHS but this happens for some values only and these values are the solution of these linear equations.
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