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Class 9 Maths Practice Test: Quadrilaterals - Mid-Point Theorem
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Avg score: 50% • Most missed: “From the diagram below, if D and E are mid points of the lines AB and AC respect…”

The midpoint theorem or midline theorem states that if the midpoints of two sides of a triangle are connected, then the resulting line segment will be parallel to the third side and have half of its length.

Class 9 Maths Practice Test: Quadrilaterals - Mid-Point Theorem
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10 Questions

1. Find the perimeter of ΔABC, if perimeter of ΔPQR is 36cm and A, B and C are midpoints.
2. From the diagram given below, if P, Q and R are mid points of sides AB, BC and AC respectively, then ΔRQP is congruent to ΔBDE, ΔDAF and ΔEFC.
3. From the diagram below, if D and E are mid points of the lines AB and AC respectively and if DE ║ BC, then what is the relation between DE and BC?
4. Which of the following relation is correct if S is midpoint of PR?
5. Which of the following relation is correct if S is midpoint of PR?
6. Identify the correct relation from the given options if PQRS is a parallelogram and V is midpoint of PQ.
7. What is the length of DE if DE || BC and D and E are midpoints of AB and AC?
8. Find the perimeter of ΔABC, if perimeter of ΔPQR is 36cm and A, B and C are midpoints.
9. Find the ration of (AB + CD)/EG if EG || AB and AB || DC and E and G are the midpoints.
10. Find the ratio of the angles D : E : F of ΔDEF formed by joining the midpoints of the sides of ΔABC.

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