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- 1. Multiple Choice
Which of the following is the statement of the Mid-point Theorem ?
The line segment joining the mid-points of any two sides of a triangle is equal to the third side.
The line segment joining the mid-points of any two sides of a triangle is parallel to the third side and is equal to it.
The line segment joining the mid-points of any two sides of a triangle is parallel to the third side and is equal to half of it.
The line segment joining the mid-points of any two sides of a triangle is twice the third side.
- 2. Multiple Choice
In ABC, M is mid-point of AB and a straight line through M and parallel to BC cuts AC at N. If AC = 6 cm, then the length of AN is
3 cm
6 cm
12 cm
Can not be determined
- 3. Multiple Choice
In a trapezium ABCD, M and N are the mid-points of the non-parallel sides AD and BC respectively. If AB = 11 cm and DC = 8 cm, the length of MN is:
cm
4 cm
9 cm
- 4. Multiple Choice
ABC, X and Y are mid-points of the sides AB and AC respectively. If BC = 5 cm, AB = 7 cm and AC = 6 cm, the perimeter of trapezium XBCY is:
14 cm
18 cm
9 cm
16 cm
- 5. Multiple Choice
ABC, D, E and F are the mid-points of the sides BC, CA and AB respectively. If AB = 5 cm, BC = 5.2 cm and CA = 6.4 cm, the perimeter of triangle DEF is:
- 6. Multiple Choice
In the given figure, AE ll BF ll CG and D is the mid-point of CE . If AB = 4.2 cm, the length of BC is:
4 cm
- 7. Multiple Choice
In the given figure, AE ll BF ll CG and D is the mid-point of CE. Find the length of DF if CG = 7.8 cm
6 cm
- 8. Multiple Choice
The adjoining figure shows a trapezium ABCD in which
AB II DC. P is the mid-point of AD and PR II AB. Then, the relation between PR , AB and CD is:
- 9. Multiple Choice
In the given figure of triangle ABC , AM = BM , AN = 5 cm and BC = 7 cm. If MN II BC , find the length of AC and its correct reason :
5 cm; Mid-point Theorem
10 cm; Converse of Mid-point Theorem
7 cm; Equal Intercept Theorem
10 cm; Mid-point Theorem
- 10. Multiple Choice
In the given triangle ABC , AP = BP = 8 cm, AQ = CQ = 9 cm, BC = 6 cm and PQ = x cm. Then the value of x along with its correct reason is:
6 cm;Equal Intercept Theorem
3 cm; Mid-point Theorem
4 cm; Converse of Mid-point Theorem
4.5 cm; Mid-point Theorem
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