Chapter 8: Similar Triangles

Exercise - 12

1. In the given figure, PQ || BC, AP = 2.4cm, AQ = 2cm, QC = 3cm and BC = 6cm. Find AB and PQ.

2. The diagonals AC and BD of a quadrilatereal ABCD intersect each other at O such that

prove that the quadrilateral ABCD is traperzium.

3. In and if AC = 4.8cm, find AE

4. In the given figurer, PQ || BC and PR || CD,

prove that

5. In is parallel to base BC, with D on AB and E on AC. If find

6. In the given figure, PQ || AB and PR || AC. prove that QR || BC.

7. If three or more parallel lines, are intersected by two transversals, prove that the intercepts made by them on the trans versals are proportional.

8. In the given figure, DE || AC and DC || AP, prove that

9. In the given figure, and DE || AB prove that AD = BE.

10. In the given figure AB || CD. If OA = 3x - 19, OB = x - 4, OC = x - 3 and OD = 4cm, determine x.

 

Answers
(10). (x = 11 cm or 8 cm)