Theorem
Sum of the angles of a triangle is equal to two right angles. ABC is a triangle A + B + ACB = 180 o Produce BC to D. Through C draw CE || B..
Sum of the angles of a triangle is equal to two right angles. ABC is a triangle A + B + ACB = 180 o Produce BC to D. Through C draw CE || B..Theorem2 (Converseof Theorem 1)
If two adjacent angles are supplementary, then their exterior arms lie in a straight lin..
Converse of Theorem 4
Now consider the converse of this theorem..
Converse of Theorem5
If the diagonals of a parallelogram are perpendicular then it is a rhombu..
Parallelograms Converse of Theorem 6
Statement - If in a parallelogram, the diagonals are equal and perpendicular, then it is a squar..
Statement - If in a parallelogram, the diagonals are equal and perpendicular, then it is a squar..Theorem1
The locus of a point equidistant from two fixed points is the perpendicular bisector of the segment joining the two point..
Theorem 1
Statement - If two lines intersect, then the vertically opposite angles are congruen..
Statement - If two lines intersect, then the vertically opposite angles are congruen..Theorem 1
Parallelograms on the same base and between the same parallels are equal in area. ABCD and ABEF are two parallelograms on the same base AB and between the same parallels AB, DE area (ABCD) = area (ABEF) An alternate way of proving this theorem is as follows: Since both parallelo..
Parallelograms on the same base and between the same parallels are equal in area. ABCD and ABEF are two parallelograms on the same base AB and between the same parallels AB, DE area (ABCD) = area (ABEF) An alternate way of proving this theorem is as follows: Since both parallelo..Theorem 1
If two sides of a triangle are equal, the angles opposite to them are equal. In AB = AC Draw AD, the bisector of to meet BC at ..
If two sides of a triangle are equal, the angles opposite to them are equal. In AB = AC Draw AD, the bisector of to meet BC at ..Theorem 1
Theorem 1 - In a polygon of 'n' sides, the sum of the interior angles is equal to (2n - 4) right angles. ABCDE is an n sided polygon. The sum of the interior angles = (2n - 4) right angles Take any point O inside the polygon. Join OA, OB, O..
Theorem 1 - In a polygon of 'n' sides, the sum of the interior angles is equal to (2n - 4) right angles. ABCDE is an n sided polygon. The sum of the interior angles = (2n - 4) right angles Take any point O inside the polygon. Join OA, OB, O.. Result
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