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ICSE Grade VI - Triangles

Question 1

1.	Consider the following figure. State which of the following statements are true
	a)   DB     ≠   BC     b)   CD     ≠   DB     c)   BC     ≠   CD     d)   DB     =   BC     e)   CD     =   DB     f)   BC     =   CD
	{e,b,c} {b,c,d} {e,c} {a,b} {f,a,d}

Question 2

2.	Which of the following are measures of an isosceles triangle ?
	∠K = 43.28° , ∠L = 73.69° , ∠M = 63.03° ∠K = 49.09° , ∠L = 90° , ∠M = 40.91° ∠K = 65.6° , ∠L = 57.2° , ∠M = 57.2° ∠K = 60° , ∠L = 60° , ∠M = 60° ∠K = 69.98° , ∠L = 61.28° , ∠M = 48.74°

Question 3

3.	Which of the following are measures of an equilateral triangle ?
	∠B = 60° , ∠C = 60° , ∠D = 60° ∠B = 45° , ∠C = 90° , ∠D = 45° ∠B = 47.91° , ∠C = 70.81° , ∠D = 61.28° ∠B = 47.29° , ∠C = 90° , ∠D = 42.71° ∠B = 81.08° , ∠C = 49.46° , ∠D = 49.46°

Question 4

4.	Find the angles of the triangle
	E = 60° , F = 43° , G = 77° E = 58° , F = 47° , G = 75° E = 58° , F = 45° , G = 77° E = 62° , F = 45° , G = 73° E = 60° , F = 45° , G = 75°

Question 5

5.	Which of the following are measures of a scalene triangle ?
	IJ = 11 cm , JK = 11 cm , KI = 11 cm IJ = 11 cm , JK = 15 cm , KI = 13 cm IJ = 12 cm , JK = 12 cm , KI = 16.97 cm IJ = 15 cm , JK = 12 cm , KI = 15 cm IJ = 11 cm , JK = 13 cm , KI = 11 cm

Question 6

6.	Which of the following are measures of an isosceles triangle ?
	PQ = 15 cm , QR = 12 cm , RP = 19.21 cm PQ = 11 cm , QR = 15 cm , RP = 11 cm PQ = 11 cm , QR = 12 cm , RP = 10 cm PQ = 15 cm , QR = 15 cm , RP = 15 cm PQ = 10 cm , QR = 14 cm , RP = 13 cm

Question 7

7.	The side opposite to the vertex B
	BC       DB       CD       EC       BF

Question 8

8.	Which of the following are measures of an isosceles triangle ?
	∠G = 56.25° , ∠H = 73.62° , ∠I = 50.13° ∠G = 66.12° , ∠H = 56.94° , ∠I = 56.94° ∠G = 38.16° , ∠H = 90° , ∠I = 51.84° ∠G = 76.87° , ∠H = 45.57° , ∠I = 57.56° ∠G = 60° , ∠H = 60° , ∠I = 60°

Question 9

9.	Calculate the value of x in the following figure
	x = 62.13° x = 60.13° x = 59.13° x = 61.13° x = 58.13°

Question 10

10.	Which of the following are measures of an acute angled triangle ?
	PQ = 12 cm , QR = 13 cm , RP = 17.69 cm PQ = 14 cm , QR = 13 cm , RP = 12 cm PQ = 10 cm , QR = 21 cm , RP = 14 cm PQ = 14 cm , QR = 14 cm , RP = 19.8 cm PQ = 11 cm , QR = 20 cm , RP = 14 cm

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