What are the properties of parallelogram for Class 9?

What are the properties of parallelogram for Class 9?

The properties of a parallelogram are as follows:

• The opposite sides are parallel and congruent.
• The opposite angles are congruent.
• The consecutive angles are supplementary.
• If any one of the angles is a right angle, then all the other angles will be at right angle.
• The two diagonals bisect each other.

What are the 10 properties of a rhombus?

Properties of Rhombus

• All sides of the rhombus are equal.
• The opposite sides of a rhombus are parallel.
• Opposite angles of a rhombus are equal.
• In a rhombus, diagonals bisect each other at right angles.
• Diagonals bisect the angles of a rhombus.
• The sum of two adjacent angles is equal to 180 degrees.

How to discover the properties of a parallelogram?

: Students will engage in discovering properties of parallelograms by plotting points on a coordinate plane, calculating slopes, measuring angles and calculating distances of side lengths. Additionally, students will make conjectures about the relationship between diagonals in a parallelogram and how they bisect one another. Key Words

When does a quadrilateral become a parallelogram?

Theorem If one pair Of opposite sides Of a quadrilateral are parallel and congruent, then the quadrilateral is a p Example 1 Prove that a quadrilateral is a parallelogram if its opposite angles are congruent.

How are opposite sides of a parallelogram congruent?

Parallelogram Opposite sides are congruent AB DC AD BC pposite angles are congruent ZA ZC The diagonals bisect each other If E is the point where diagonals AC and BD intersect, then AE CE and BE-X-DE Explain 4 Using Properties of Parallelograms You can use the properties of parallelograms to find unknown lengths or angle measures in a 17)0 figure.

How to find the point of intersection in a parallelogram?

Students will plot given points for a parallelogram on a coordinate plane, then use the midpoint formula and the distance formula to determine the point of intersection. They should then conclude that the diagonals bisect each other.