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#### Term 1 Geometry 3 Marks and 5 Marks Questions

8th Standard EM

Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 40
5 x 3 = 15
1. If PQ || RS and ∠ONR=30o find ∠MON and hence ∠MOX .

2. In the Fig if ΔPQR ～ ΔXYZ, find a and b.

3. D is a point on the side BC. Such that $\angle$ADC = $\angle$BAC. Prove that $\frac { CA }{ CD } =\frac { CB }{ CA }$ or CA= CBXCD.

4. In the figure with respect to $\triangle$BEP and $\triangle$CPD prove that BP x PD = EP x PC.

5. Two triangles BAC and BDC right angled at A and D respectively are drawn on the same base BC and on the same side of BC. If AC and DB intersect at P. Prove that AP x PC = DP x PB.

6. 5 x 5 = 25
7. Construct a quadrilateral DEAR with DE = 6 cm, EA = 5 cm, AR = 5.5cm, RD = 5.2 cm and DA = 10 cm. Also find its area.

8. Construct a quadrilateral NICE with NI=4.5 cm, IC= 4.3 cm, NE= 3.5 cm, NC= 5.5 cm and IE = 5 cm. Also fi nd its area

9. Construct a quadrilateral MATH with MA=4 cm, AT= 3.6 cm, TH = 4.5 cm, MH = 5 cm and ∠A = 85°. Also find its area.

10. Construct a quadrilateral ABCD with AB=7 cm, AD=5 cm, CD = 5 cm, ∠BAC=50° and ∠ABC=60°. Also find its area.

11. Construct a quadrilateral PQRS with PQ=QR=5 cm, ∠QPR=50o, ∠PRS = 40o and ∠RPS = 80o Also find its area.