opposite angles


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Sine Formula (Sine Rule)
Prove that in any triangle, the sides of a triangle are proportional to the sines of the opposite angles..
Summary
If two sides of a triangle are equal, the angles opposite to them are equal. If two angles of a triangle are equal, the sides opposite to these angles are equal..
For a quadrilateral to be a parallelogram, which of the following sta..
For a quadrilateral to be a parallelogram, which of the following statements cannot be true? => Opposite angles are congruent. or The diagonals bisect each other. or Sum of adjacent angles is 180°. or There should be exactly one pair of parallel sides...
Theorem 2(converse of Theorem 1)
If two angles of a triangle are equal, the sides opposite to these angles are equa..
Construction - 12
Two sides and the angle opposite to on..
Properties of quadrilaterals
In a quadrilateral, if opposite sides are equal, it is a parallelogram. In a quadrilateral, if opposite angles are equal, it is a parallelogram. In a quadrilateral, if diagonals bisect each other, it is a parallelogram..
Theorem
If two sides of a triangle are equal, the angles opposite to them are equa..
Proposition
A statement of something to be done or considered is called proposition. You are familiar with statements such as If two straight lines intersect each other then the vertically opposite angles are equal. The angles opposite to equal sides of a triangle are e..
Parallelogram
A parallelogram has its opposite pairs of sides parallel. Its other properties are: (i) The opposite sides are equal. (ii) The opposite angles are equal. (iii) The diagonals bisect each other. In the figure above, the perpendicular AL to DC has been drawn...
Statement
If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the interior opposite angles. ..
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