Understanding the Basic Proportionality Theorem through an Activity

The video explains the basic proportionality theorem, also known as Thales Theorem, which states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally. The video includes an activity to demonstrate this theorem using a sheet of paper and a triangle. The activity involves folding the paper to create parallel lines, placing a triangle on it, and measuring segments to verify the theorem. The video concludes with a summary of the findings and verification of the theorem.

What is another name for the Basic Proportionality Theorem?

• Euclidean Theorem

• Archimedes Theorem

• Thales Theorem

• Pythagorean Theorem

According to the Basic Proportionality Theorem, if a line is drawn parallel to one side of a triangle, what happens to the other two sides?

• They become equal in length

• They are divided in the same ratio

• They form a right angle

• They become parallel

In the example with Triangle PQR, which line is drawn parallel to side QR?

• Line ST

• Line PQ

• Line PR

• Line PS

What materials are needed for the activity to visualize the theorem?

• A calculator and graph paper

• A protractor and a pencil

• A rectangular sheet of paper and a colored triangle

• A ruler and a compass

What is the purpose of folding the sheet of paper in the activity?

• To draw a circle

• To obtain parallel lines

• To make a square

• To create a triangle

After measuring the segments in the activity, what conclusion is drawn about the ratios?

• They are only equal for right triangles

• They are different for each segment

• They are equal, verifying the theorem

• They are not related to the theorem

What is the final step in verifying the Basic Proportionality Theorem in the activity?

• Highlighting the parallel lines

• Measuring and calculating segment ratios

• Drawing a new triangle

• Folding the paper again