Procedure - To explore Similarities & Differences in properties of the Quadrilaterals, Class 9 Math

# Procedure - To explore Similarities & Differences in properties of the Quadrilaterals, Class 9 Math | Extra Documents & Tests for Class 9 PDF Download

Materials required:

Chart papers, pencil, compass, scale and a pair of scissors.

Property 1:

A diagonal of a parallelogram divides it into two congruent triangles.

As performed in real lab:

Procedure:

1. Make a parallelogram on a chart paper and cut it.

2. Draw diagonal of the parallelogram [Fig(a)].

3. Cut along the diagonal and obtain two triangles.

4. Superimpose one triangle onto the other [Fig(b)]

As performed in the simulator:

1. Select three points A, B and C anywhere on the workbench  to draw a parallelogram.

2. Now, click on any of the vertices to draw a diagonal. The diagonal divides the parallelogram into two triangles - a green colored triangle and blue colored triangle.

3. Now, rotate the green triangle appropriately and drag to overlap blue triangle. Use rotation controls (r+ and r-) in "Tools" to rotate green triangle.

4. See the observations and inference.

Observations:

Two triangles are congruent to each other.

Property 2:

Diagonals of a parallelogram bisect each other.

As performed in real lab:

Procedure:

1. Draw the parallelogram and its both diagonals.

2. Cut the four triangles formed. Name them 1, 2, 3 and 4 [Fig(c)].

3. Observe that triangle 2 is congruent to triangle 4 and triangle 1 is congruent to triangle 3 by superimposing them on each other.

As performed in the simulator:

1. Select three points A, B and C anywhere on the workbench to draw a parallelogram.

2. Now, click on any two adjacent vertices to draw two diagonals. The diagonals divide the parallelogram into 4 triangles (two sets of opposite triangles)

3. Click on "Next" to color the four triangles. One set of opposite triangle is colored blue and green, while other is colored brown and violet.

4. Now, Rotate and Drag blue triangle over green triangle and brown triangle over violet triangle. Use rotation controls (r+ and r-) in "Tools" to rotate blue and brown triangles.

5. See observations and inference.

Observations:

• Base of triangle 2 = Base of triangle 4

• Base of triangle 1 = Base of triangle 3

• Thus the diagonals bisect each other.

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## FAQs on Procedure - To explore Similarities & Differences in properties of the Quadrilaterals, Class 9 Math - Extra Documents & Tests for Class 9

 1. What are the properties of quadrilaterals?
Ans. Quadrilaterals have several properties, including: - They have four sides and four vertices. - The sum of their interior angles is always 360 degrees. - They can have parallel sides, opposite sides of equal length, or opposite angles of equal measure. - Some special types of quadrilaterals include squares, rectangles, parallelograms, rhombuses, and trapezoids.
 2. What is the difference between a square and a rectangle?
Ans. While both squares and rectangles are types of quadrilaterals with four sides, they have some differences: - A square has all sides of equal length and all angles of 90 degrees, making it a special type of rectangle. - A rectangle has opposite sides of equal length and all angles of 90 degrees, but the length and width can be different. - In a square, all sides are equal, and in a rectangle, opposite sides are equal.
 3. What is the difference between a parallelogram and a trapezoid?
Ans. Parallelograms and trapezoids are two different types of quadrilaterals with distinct characteristics: - A parallelogram has opposite sides that are parallel and equal in length and opposite angles that are equal. - A trapezoid has one pair of opposite sides that are parallel, but the other pair is not. The non-parallel sides are called legs, while the parallel sides are called bases.
 4. What is the sum of the interior angles of a quadrilateral?
Ans. The sum of the interior angles of any quadrilateral is always 360 degrees. This means that if you measure the four angles inside a quadrilateral, their sum will always be equal to 360 degrees.
 5. What are some special types of quadrilaterals?
Ans. Some special types of quadrilaterals include: - Square: A quadrilateral with all sides of equal length and all angles of 90 degrees. - Rectangle: A quadrilateral with opposite sides of equal length and all angles of 90 degrees. - Rhombus: A quadrilateral with all sides of equal length. - Parallelogram: A quadrilateral with opposite sides that are parallel and equal in length. - Trapezoid: A quadrilateral with one pair of opposite sides that are parallel.

## Extra Documents & Tests for Class 9

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