Maths Mid-Point Theorem Chapter Test

Midpoint Theorem Chapter Test

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Q1 ABCD is a rhombus with P, Q and R as midpoints of AB, BC and CD respect/JPEGively. Prove that PQ ⊥ QR.

Q2 The diagonals of a quadrilateral ABCD are perpendicular. Show that the quadrilateral formed by joining the mid-points of its adjacent sides is a rect/JPEGangle.

Q3 If D, E, F are mid-points of the sides BC, CA and AB respectively of a ABC, Prove that AD and FE bisect/JPEG each other

Q4 In ABC, D and E are mid-points of the sides AB and AC respectively. Through E, a straight line is drawn parallel to AB to meet BC at F. Prove that BDEF is a parallelogram. If AB = 8 cm and BC = 9 cm, find the perimeter of the parallelogram BDEF.

Q5 In the given figure, ABCD is a parallelogram and E is mid-point of AD. DL EB meets AB produced at F. Prove that B is mid-point of AF and EB = LF.

Q6 In the given figure, ABCD is a parallelogram. If P and Q are mid-points of sides CD and BC respect/JPEGively. Show that CR = 1/2 AC.

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