Question

state and prove thales theorem by paper cutting​

Answer 1

Step-by-step explanation:

OBJECTIVE

To verify the basic proportionality theorem, or Thales theorem

Materials Required

A sheet of whitepaper

A sheet of colored paper

A piece of cardboard

A tube of glue

A ruler

A geometry box

Theory

Basic proportionality theorem (or Thales theorem): If a line is drawn parallel to one side of a triangle intersecting the other two sides then the line divides these sides in the same ratio.

Procedure

Step 1: Paste the sheet of white paper on the cardboard.

Step 2: Draw a straight line PQ = 10 cm on this paper. At P draw a line MP perpendicular to PQ and at Q draw a line NQ perpendicular to PQ. Graduate the two lines MP and NQ as shown in Figure 6.1.

Step 3: Draw a line XY parallel to PQ by taking points X and Y at an equal distance from P and Q respectively, and then joining them.

Step 4: Cut a triangle ABC from the colored paper and paste it on the white paper so that its side BC coincides with the line XY as shown in Figure 6.1.

Step 5: Draw two straight lines X1Y1 and X2Y2 both parallel to the line PQ (by the procedure discussed in Step 3), such that the line X1Y1 cuts the sides AB and AC at points D1 and E1 respectively, and the line X2Y2 cuts the sides AB and AC at points D2 and E2 respectively.

Step 6: Measure the lengths of the line segments AD1, D1B, AE1, E1C, AD2, D2B, AE2 and E2C, and record them in the observation table.

Result

We find that

math-labs-activity-proportionality-theorem-thales-theorem-3Hence, the basic proportionality theorem, or Thales theorem, is verified.

Hope this helps you!!

Answer 2

Answer:

Here is your answer mate hope it helps you please mark me as brainliest

Step-by-step explanation:

Materials Required

• A sheet of whitepaper
• A sheet of colored paper
• A piece of cardboard
• A tube of glue
• A ruler
• A geometry box

Theory

Basic proportionality theorem (or Thales theorem): If a line is drawn parallel to one side of a triangle intersecting the other two sides then the line divides these sides in the same ratio.

Procedure

Step 1: Paste the sheet of white paper on the cardboard.

Step 2: Draw a straight line PQ = 10 cm on this paper. At P draw a line MP perpendicular to PQ and at Q draw a line NQ perpendicular to PQ. Graduate the two lines MP and NQ as shown in Figure 6.1.

Step 3: Draw a line XY parallel to PQ by taking points X and Y at an equal distance from P and Q respectively, and then joining them.

Step 4: Cut a triangle ABC from the colored paper and paste it on the white paper so that its side BC coincides with the line XY as shown in Figure 6.1.

Step 5: Draw two straight lines X1Y1 and X2Y2 both parallel to the line PQ (by the procedure discussed in Step 3), such that the line X1Y1 cuts the sides AB and AC at points D1 and E1 respectively, and the line X2Y2 cuts the sides AB and AC at points D2 and E2 respectively.

Step 6: Measure the lengths of the line segments AD1, D1B, AE1, E1C, AD2, D2B, AE2 and E2C, and record them in the observation table.

Hence proved