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#### Geometry Book Back Questions

8th Standard EM

Reg.No. :
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Maths

Time : 00:45:00 Hrs
Total Marks : 30
5 x 1 = 5
1. Two similar triangles will always have ________angles

(a)

acute

(b)

obtuse

(c)

right

(d)

matching

2. If in triangles PQR and XYZ, $\frac{PQ}{XY}=\frac{QR}{ZX}$ then they will be similar if

(a)

∠Q=∠Y

(b)

∠P=∠X

(c)

∠Q=∠X

(d)

∠P≡∠Z

3. A flag pole 15 m high casts a shadow of 3 m at 10 a.m. The shadow cast by a building at the same time is 18.6 m. The height of the building is

(a)

90 m

(b)

91 m

(c)

92 m

(d)

93 m

4. If ΔABC～ΔPQR in which ∠A = 53o and ∠Q = 77o, then R is

(a)

50°

(b)

50°

(c)

70°

(d)

80°

5. In the figure, which of the following statements is true?

(a)

AB = BD

(b)

BD < CD

(c)

AC = CD

(d)

BC = CD

6. 3 x 2 = 6
7. In the given fi gure, if ΔEAT～ΔBUN, find the measure of all angles.

8. In the given fi gure, ∠CIP≡∠COP and ∠HIP≡∠HOP . Prove that IP ≡ OP.

9. Construct the following quadrilaterals with the given measurements and also find their area.
YOGA, YO = 6 cm, OG = 6 cm, ∠O = 55°, ∠G = 35° and ∠A = 100°.

10. 3 x 3 = 9
11. Find the unknowns in the following figures

12. (Illustrating SSS similarity)
Prove that ΔPQR ～ ΔPRS in the given Fig

13. (Illustrating RHS Congruence)
If TAP is an isosceles triangle with TA = TP and ∠TSA = 90°
Is ∠P = ∠A? Why?

14. 2 x 5 = 10
15. 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.

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