Question

how to verify the BPT theorem by using parallel line boards triangle cutouts state objective ppt and pre-request acknowledge material required are white chart paper colour paper geometry box sketch pen fevicol pair of scissors single copy also prove and conclusion

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Answer 1

Answer:

Objective :

To verify the basic proportionality theorem by using parallel lines board, triangle cut outs.

Basic Proportionality Theorem:

If a line is drawn parallel to one side of a triangle, to intersect the other two sides at distinct points, the other two sides are divided in the same ratio.

Prerequisite Knowledge :

• Basic Proportionality theorem
• Drawing a line parallel to a given line which passes through a given point.

Materials Required :

White chart paper, coloured papers, geometry box, sketch pens, fevicol, a pair of scissors, ruled paper sheet (or Parallel line board).

Procedure :

• Cut an acute-angled triangle say ABC from a coloured paper.
• Paste the ΔABC on ruled sheet such that the base of the triangle coincides with ruled line.
• ncert-class-10-maths-lab-manual-basic-proportionality-theorem-triangle-1 .
• Mark two points P and Q on AB and AC such that PQ || BC.
• ncert-class-10-maths-lab-manual-basic-proportionality-theorem-triangle-2 .
• Using a ruler measure the length of AP, PB, AQ and QC.
• Repeat the same for right-angled triangle and obtuse-angled triangle.
• Now complete the following observation table.

Observation :

We will observe that in all the three triangles the Basic Proportionality theorem is verified.

Result :

In each set of triangles, we verified that \frac { AP }{ PB } =\frac { AQ }{ QC }

Hope it helps you.

Answer 2

Answer:

Materials Required

White chart paper, coloured papers, geometry box, sketch pens, fevicol, a pair of scissors, ruled paper sheet (or Parallel line board).

Procedure

1. Cut an acute-angled triangle say ABC from a coloured paper.

2. Paste the ΔABC on ruled sheet such that the base of the triangle coincides with ruled line.

3.Mark two points P and Q on AB and AC such that PQ || BC.

3.Using a ruler measure the length of AP, PB, AQ and QC.

3.Repeat the same for right-angled triangle and obtuse-angled triangle.

Now complete the following observation table.

Observation AP/PB, AQ/QC

Result

In each set of triangles, we verified that \frac { AP }{ PB } =\frac { AQ }{ QC }