ICSE Board Practice

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ICSE Grade IX - Triangles

Question 1

1.	In the given figure, which of the following is true?
	△DEF ≅ △TSR △DEF ≅ △TRS △DEF ≅ △STR △DEF ≅ △RST △EFD ≅ △RST

Question 2

2.	Which of the following are measures of an acute angled triangle ?
	∠H = 134.62° , ∠I = 20.85° , ∠J = 24.53° ∠H = 51.34° , ∠I = 90° , ∠J = 38.66° ∠H = 143.62° , ∠I = 18.19° , ∠J = 18.19° ∠H = 45° , ∠I = 90° , ∠J = 45° ∠H = 65.6° , ∠I = 57.2° , ∠J = 57.2°

Question 3

3.	In the given figure, find ∠HFG
	109° 112° 111° 108° 110°

Question 4

4.	With the data in the figure, △GKJ ≅ △HKI by which property?
	SAS Congruency ASA Congruency RHS Congruency SSS Congruency not congruent

Question 5

5.	Which of the following are measures of an obtuse angled triangle ?
	∠P = 45° , ∠Q = 90° , ∠R = 45° ∠P = 75.31° , ∠Q = 40.16° , ∠R = 64.53° ∠P = 133.5° , ∠Q = 20.3° , ∠R = 26.2° ∠P = 59.49° , ∠Q = 67.38° , ∠R = 53.13° ∠P = 49.76° , ∠Q = 90° , ∠R = 40.24°

Question 6

6.	Which of the following are measures of a scalene triangle ?
	GH = 10 cm , HI = 10 cm , IG = 14.14 cm GH = 12 cm , HI = 14 cm , IG = 12 cm GH = 12 cm , HI = 12 cm , IG = 12 cm GH = 13 cm , HI = 10 cm , IG = 13 cm GH = 11 cm , HI = 15 cm , IG = 12 cm

Question 7

7.	In the given figure, FG ∥ HI and FH = HJ. Find the values of x,y and z.
	x = 37° , y = 72° , z = 36° x = 37° , y = 70° , z = 38° x = 35° , y = 72° , z = 38° x = 39° , y = 72° , z = 34° x = 35° , y = 74° , z = 36°

Question 8

8.	With the data in the figure, △CFD ≅ △CFE by which property?
	ASA Congruency SAS Congruency RHS Congruency not congruent SSS Congruency

Question 9

9.	With the data in the given figure, △PQS ≅ △RSQ by which property?
	RHS Congruency SSS Congruency ASA Congruency SAS Congruency not congruent

Question 10

10.	In the given figure, which pair of triangles are not congruent ?
	fig 3 fig 1 fig 4 fig 2

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