Write all theorems that are mentioned in Class 9 Chapter 8 Quadrilaterals.
Answers
Answer:
Theorems for Class 9 Maths Chapter 8 Quadrilateral
1st Theorem- The diagonal divides the parallelogram into two congruent triangles.
2nd Theorem- The opposite side of a parallelogram are equal.
3rd Theorem- The quadrilaterals in which each pair of opposite sides are equal are called parallelogram.
4th Theorem- The opposite angles of a parallelogram are equal.
5th Theorem- If each pair of opposite angles are equal then it is a parallelogram.
6th Theorem- The diagonals bisect each other in a parallelogram.
7th Theorem- If the diagonals bisect each other in a quadrilateral, then it’s a parallelogram.
8th Theorem- The opposite sides of a parallelogram are parallel and equal.
9th Theorem- The line that joins mid-points of a triangle’s two side is parallel to the third side.
I hope this may help you
Answer:
Theorems for Class 9 Maths Chapter 8 Quadrilateral
1st Theorem- The diagonal divides the parallelogram into two congruent triangles.
2nd Theorem- The opposite side of a parallelogram are equal.
3rd Theorem- The quadrilaterals in which each pair of opposite sides are equal are called parallelogram.
4th Theorem- The opposite angles of a parallelogram are equal.
5th Theorem- If each pair of opposite angles are equal then it is a parallelogram.
6th Theorem- The diagonals bisect each other in a parallelogram.
7th Theorem- If the diagonals bisect each other in a quadrilateral, then it’s a parallelogram.
8th Theorem- The opposite sides of a parallelogram are parallel and equal.
9th Theorem- The line that joins mid-points of a triangle’s two side is parallel to the third side.
10th Theorem- The converse of the midpoint theorem states that ” if a line is drawn through the midpoint of one side of a triangle, and parallel to the other side, it bisects the third side.
These are all the Theorems, Including 8.10 which is converse midpoint theorem.