## 6. TRIANGLES

**MAX MARKS: – 15**

**TIME- 45MIN. **

1.**In the fig.6.36, QR/QS = QT/PR and ****∠****1 = ****∠****2. Show that ΔPQS ~ ΔTQR.**

## 2.Sides AB and AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR. Show that ΔABC ~ ΔPQR.

**3**.**In the figure, DE||AC and DF||AE. Prove that BF/FE = BE/EC**

**4.In the figure, A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. Show that BC || QR.**

**5.E is a point on the side AD produced of a parallelogram ABCD and BE intersects CD at F. Show that ΔABE ~ ΔCFB.**