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Methodical recommendation:

Theory

Number Name Description
1. Distance formula Recall the concept of distance formula.
2. Mid-point of a line segment Let us learn the mid-point formula through its derivation.
3. Mid-point formula using similarity theorem Let us learn the mid-point formula through graphical representation.
4. Problems using mid-point formula Let us look at a few example problems using the mid-point formula.
5. Points of trisection of a line segment Let us learn the formulae to find the points of trisection.

Textbook Questions

Number Name Type Difficulty Marks Description
1. Multiple choice question I Other easy 2 m. Choose the correct answer using midpoint and trisection formula.
2. Two marks example problems I Other medium 4 m. In this exercise, apply the mid-point formula to find the answer.
3. Two marks exercise problems I Other medium 4 m. In this exercise, apply the mid-point formula to find the midpoint of the line segment.
4. Two marks exercise problems II Other medium 4 m. In this exercise, apply the mid-point formula to find the midpoint of the line segment.
5. Two marks exercise problems III Other medium 4 m. In this exercise, apply the mid-point formula to find the answers.
6. Five marks example problems II Other hard 5 m. In this exercise, apply the mid-point formula to find the answers.
7. Five marks example problems III Other hard 5 m. In this exercise, apply the mid-point formula to find the answers.
8. Five marks example problems IV Other hard 5 m. In this exercise, apply the trisection formula to find the answers.
9. Five marks exercise problems III Other hard 5 m. In this exercise, apply the mid-point formula to find the answers.
10. Five marks exercise problems IV Other hard 10 m. In this exercise, apply the mid-point formula to find the answers.
11. Five marks exercise problems V Other hard 5 m. In this exercise, apply the mid-point formula to find the answers.
12. Five marks exercise problems VI Other hard 5 m. In this exercise, apply the mid-point formula to find the answers.
13. Five marks exercise problems VII Other hard 5 m. In this exercise, apply the trisection formula to find the answers.

Practice Questions

Number Name Type Difficulty Marks Description
1. The quadrant is... Other easy 1 m. Choose the quadrant based on the points given.
2. Distance between two points Other easy 2 m. Find the distance between the end points of a line segment parallel to either of the axes.
3. Find the distance Other easy 1 m. Find the distance between two end points of a line segment not parallel to any of the axes.
4. Calculate the mid-point Other medium 1 m. Find the mid-point of the points given.
5. Find 'a' and 'b' Other medium 3 m. Find the values of the unknown using the mid-point formula.
6. Find the component of a circle Other medium 3 m. Find the unknown component of the circle.
7. Find the value of the variable Other medium 4 m. Find the co-ordinate of a point passing through the line segment of the given equation.
8. Check whether the points forms a parallelogram Other medium 5 m. Prove that the given vertices form a parallelogram.
9. Find the values of 'r' and 's' Other medium 2 m. Find the unknown vertices of a parallelogram.
10. Find the meeting point Other medium 3 m. Find the meeting point of the perpendicular from the centre to the chord.
11. 4 equal parts of a line segment Other medium 3 m. Divide the line segment given into 4 equal line segments.
12. Find the unknown Other medium 3 m. Find the unknown point of a line segment.
13. Find the points of trisection Other medium 4 m. Find the points that trisect the liine segment given.
14. Find the vertices of the triangle Other hard 6 m. Find the vertices of a triangle using the mid-points given.
15. Find the answer to the situation Other hard 6 m. Read the situations given and find the appropriate answer.

Key Questions for School Exam Preparation

Number Name Type Difficulty Marks Description
1. Obtain the points of trisection Other medium 5 m. In this exercise, apply the trisection formula to find the answers.
2. Show that the quadrilateral is a parallelogram. Other hard 5 m. In this exercise, using the mid-point formula to show that the quadrilateral is a parallelogram.
3. Find the vertices of a triangle Other hard 5 m. In this exercise, using mid-point formula find the vertices of a triangle.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
1. Say true or false Other easy 1 m. Read the statement and say whether it is true or false.
2. Predict the given forms a parallelogram or not Other medium 4 m. Use mid-point formula, prove that the vertices given form a parallelogram.
3. Compute the points of trisection Other medium 4 m. Find the points of trisection of a line segment using the end points given.
4. Test whether the quadrilateral forms a parallelogram Other hard 6 m. Using the details given, prove that the quadrilateral formed is a parallelogram.
5. Calculate the mid-point Other medium 1 m. Find the mid-point of the points given.
6. Compute the points of trisection Other medium 1 m. Find the points of trisection of a line segment using the end points given.
7. Mid-point of a line segment Other medium 1 m. In this exercise, apply the mid-point formula to find the answers.
8. Mid-point of the line segment Other easy 1 m. Choose the correct answer using midpoint and trisection formula.
9. Find the mid-point Other medium 1 m. In this exercise, apply the mid-point formula to find the midpoint of the line segment.
10. Find the co-ordinates Other medium 1 m. In this exercise, apply the mid-point formula to find the answer.
11. Mid point of the line Other medium 1 m. In this exercise, apply the mid-point formula to find the answers.
12. Vertices of a parallelogram Other medium 1 m. In this exercise, apply the mid-point formula to find the answer.

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
1. Homework I 00:20:00 medium 12 m.
2. Homework II 00:20:00 medium 10 m.
3. Homework III 00:20:00 medium 9 m.
4. Homework IV 00:20:00 medium 12 m.
5. Homework V 00:20:00 hard 12 m.
6. Homework VI 00:20:00 medium 9 m.
7. Revision test I 00:20:00 medium 15 m.
8. Revision test II 00:20:00 medium 13 m.
9. Revision test III 00:20:00 medium 13 m.
10. Revision test IV 00:20:00 medium 14 m.
11. Revision test V 00:20:00 medium 11 m.
12. Revision test VI 00:20:00 medium 14 m.
13. Periodic Assessment -1 00:10:00 medium 3 m. PA 1
14. Periodic Assessment -2 00:10:00 medium 2 m. PA 2
15. Bridge Course Demo 2 00:10:00 medium 2 m.
16. Periodic Assessment - Extended version 00:10:00 medium 6 m. PA 2