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Procedure - To verify the mid-point theorem for a triangle, Math, Class 9 | Extra Documents & Tests for Class 9 PDF Download

Pre-requisite knowledge:

Two lines are parallel if for a transversal cutting them, the corresponding angles are equal.

Procedure - To verify the mid-point theorem for a triangle, Math, Class 9 | Extra Documents & Tests for Class 9

Procedure:

As performed in the real lab:

Materials Required:

Colored papers, sketch pens, geometry box, a pair of scissors, fevicol and eraser.

Procedure:

  1. Form a sheet of paper.

  2. Cut a ▲ABC.

  3. Find Mid-points P and Q of AB and AC respectively by paper folding.

  4. Join P and Q by folding and making a crease PQ.

  5. Cut ▲APQ.

  6. Superimpose AQ over QC so that QP falls along CB.

 

As performed in the simulator:

Procedure:

  1. Create ▲ABC by providing length of each side AB,BC and AC in dimension box.

  2. Mark mid-point of each line AB,BC,AC as P,Q,R respectively.

  3. Now join PQ and QR.

  4. Click on cut triangle button to get replicate triangle of APQ.

  5. Drag this replica and place it at ▲ QRC.

  Procedure - To verify the mid-point theorem for a triangle, Math, Class 9 | Extra Documents & Tests for Class 9

Procedure - To verify the mid-point theorem for a triangle, Math, Class 9 | Extra Documents & Tests for Class 9

Observation:

  1. Line PQ || Line BC 

  2. PQ=RC

  3. Procedure - To verify the mid-point theorem for a triangle, Math, Class 9 | Extra Documents & Tests for Class 9


Result:

“The line segment connecting the midpoints of  two sides of a triangle is parallel to the third side and is congruent to one half of the third side. ”

The document Procedure - To verify the mid-point theorem for a triangle, Math, Class 9 | Extra Documents & Tests for Class 9 is a part of the Class 9 Course Extra Documents & Tests for Class 9.
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FAQs on Procedure - To verify the mid-point theorem for a triangle, Math, Class 9 - Extra Documents & Tests for Class 9

1. What is the mid-point theorem for a triangle?
Ans. The mid-point theorem states that the line segment joining the midpoints of two sides of a triangle is parallel to the third side and is half its length.
2. How can we verify the mid-point theorem for a triangle?
Ans. To verify the mid-point theorem for a triangle, we can find the midpoints of two sides of the triangle, draw a line segment connecting them, and then measure its length. We can also measure the length of the third side of the triangle and check if it is twice the length of the line segment connecting the midpoints.
3. What is the significance of the mid-point theorem in triangle geometry?
Ans. The mid-point theorem is significant in triangle geometry as it helps us understand the relationship between the sides of a triangle. It provides a useful tool to determine parallel lines and their lengths within a triangle.
4. Can the mid-point theorem be applied to any type of triangle?
Ans. Yes, the mid-point theorem can be applied to any type of triangle, including scalene, isosceles, and equilateral triangles. The theorem holds true for all triangles.
5. Are there any real-life applications of the mid-point theorem for a triangle?
Ans. Yes, the mid-point theorem has several real-life applications. One example is in construction, where it can be used to ensure the accuracy of measurements and the alignment of structures. Another example is in navigation, where it can be used to determine the distance and direction between two points.
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