Mathittude test- Set B

Today, in our school on the occasion of Ramanujan's Day, we conducted this test for students of classes 9 and 10.


Mathittude test -Set B

Mathittude test- Set A

Today on the occasion of Ramanujan's Day, we conducted this test for students of classes 9 and 10 in our school.


Mathittude test

Special quadrilateral- Kite

Task:

1. Name this geometrical shape.
2. Explore the relation between its sides.
3. Explore the relation between its diagonals. Are the two diagonals perpendicular to each other? Do they bisect each other also?
4. Draw this shape in your notebook and write the properties.

Useful Link http://www.mathopenref.com/kite.html

Areas of parallelograms and triangles- Theorem

Theorem: Triangles having the same base and equal areas lie between the same parallels.

Given: ∆PQR and ∆SQR such that ar (∆PQR) = ar (∆SQR).

Construction: Draw PL and SM perpendicular to QR

To prove: PS//QR

(Length of perpendiculars between two parallel lines is equal)
Hence, PS// QR

Recall task- Areas of parallelograms and triangles

Triangles on the same base and between same parallels are equal in area.

Parallelograms on the same base and between same parallel are equal in area.

If a traingle and a parallelogram are on the same base and between same parallels then area of triangle is half the area of parallelogram.