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(21) ABC is a triangle right angled at C. A line through the midpoint M of hypotenuse AB and parallel to BC intersects AC at D. Show that 1 D is the midpoint of AC. (ii) MD 1 AC. (iii) CM = MA Section: D Solve the following sums :(4 marks each) [12] (22) Prove: Angles opposite to equal sides of an isosceles triangle are equal (OR) 122 Prove: A diagonal of a parallelogram divides it into two congruent triangles. (23. Construct a triangle XYZ in which ZY = 30°, Z = 90° and XY+Y2+ZX – 0241 Radha made a picture of an aeroplane with coloured paper as shown in fia Find the

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