#### Term 1 Geometry 5 Marks Questions

9th Standard

Reg.No. :
•
•
•
•
•
•

Maths

Time : 01:00:00 Hrs
Total Marks : 50
10 x 5 = 50
1. ΔABC and ΔDEF are two triangles in which AB=DF, ∠ACB=70°, ∠ABC=60°; ∠DEF=70° and ∠EDF=60°. Prove that the triangles are congruent.

2. ABCD is a parallelogram Fig such that ∠BAD = 120o and AC bisects ∠BAD show that ABCD is a rhombus.

3. In a quadrilateral ABCD, ∠A = 72° and ∠C is the supplementary of ∠A. The other two angles are 2x–10 and x + 4. Find the value of x and the measure of all the angles.

4. Show that the bisectors of angles of a parallelogram form a rectangle.

5. Diagonal AC of a parallelogram ABCD bisects ㄥA. Show that
(i) it bisects ㄥC also (ii) ABCD is a rhombus.

6. Find the angle of the given cyclic quadrilateral ABCD in the figure.

7. Draw an equilateral triangle of side 8 cm and locate its incentre .Also   draw the incircle

8. Construct  $\triangle$ABC in which AB = BC = 8cm and $\angle$B =70o. Locate its in centre and draw the incircle

9. Construct the centroid of $\triangle$PQR such that PQ = 9 cm, PQ = 7cm, RP = 8 cm.

10. Draw and locate the centroid of the triangle ABC where right angle at A, AB = 8 cm and AC = 6 cm.