Verify the algebraic identity a²-b²=(a+b) (a-b)
Answers
Answer:
Step-by-step explanation:
awing sheet
Pencil
Colored papers
Scissors
Sketch pen
Ruler
Adhesive
Prerequisite Knowledge
Square and its area.
Rectangle and its area.
Trapezium.
Theory
For square and its area refer to Activity 3.
For rectangle and its area refer to Activity 3.
Trapezium is a quadrilateral whose two sides are parallel and two sides are non-parallel. In the trapezium ABCD, sides AB and CD are parallel while sides AD and BC are non-parallel.
ncert-class-9-maths-lab-manual-verify-algebraic-identity-a²-b²-ab-b-11
Area of trapezium =½ (Sum of parallel sides x Distance between parallel sides)
= ½ (AB + CD) x DE
Procedure
Cut out a square WQRS of side a units from a coloured paper, (see Fig. 5.2)
ncert-class-9-maths-lab-manual-verify-algebraic-identity-a²-b²-ab-b-12
Cut out a square WXYZ of side b units (b < a) from another coloured paper, (see Fig. 5.3)
ncert-class-9-maths-lab-manual-verify-algebraic-identity-a²-b²-ab-b-13
Paste the smaller square WXYZ on the bigger square WQRS as shown in Fig. 5.4.
ncert-class-9-maths-lab-manual-verify-algebraic-identity-a²-b²-ab-b-14
Join the points Y and R using sketch pen. (see Fig. 5.4)
Cut out the trapeziums XQRY and ZYRS from WQRS
ncert-class-9-maths-lab-manual-verify-algebraic-identity-a²-b²-ab-b-15
ncert-class-9-maths-lab-manual-verify-algebraic-identity-a²-b²-ab-b-16
Paste both trapeziums obtained in step 5th on the drawing sheet as shown in