DOWNLOAD MOBILE APPLICATION TO LEARN MORE: Triangles questions class 10
DOWNLOAD MOBILE APPLICATION TO LEARN MORE: Triangles questions class 10
Two figures having same shape and size are congruent figures but two figures having the same shape but not necessarily the same size are called similar figures. eg. all circles are similar. All equilateral triangles are similar.
Two polygons of the same number of sides are similar, if
(i) their corresponding angles are equal and
(ii) their corresponding sides are in the same ratio.
Two Triangles are similar, if
(i) their corresponding angles are equal and
ii) their corresponding sides are in the same ratio.
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Table of Contents
Triangles questions class 10
1. Two sides and the perimeter of one triangle are respectively three times the corresponding sides and the perimeter of the other triangle then the two triangles are similar.
(a) True (b) False
(c) Cannot say (d) Partially true/false
2. It is given that ∆ABC ~ ∆EDF such that AB = 5 cm, AC = 7 cm, DF = 15 cm and DE = 12 cm. The lengths of the remaining sides of the triangles is
(a) 16.8 cm, 6.25 cm (b) 16.8 cm, 12 cm
(c) 12 cm, 6.25 cm (d) None of these
3. In the given figure DE || BC. If AD = x, DB = x – 2, AE = x + 2 and EC = x – 1, then the value of x is
(a) 9
(b) 4
(c) 4.5
(d) 8
9. A girl of height 90 cm is walking away from the base of a lamp-post at a speed of 1.2 m/s. If the lamp is 3.6 m above the ground, then the value of length of her shadow after 4s is
(a) 3.2 m (b) 4.8 m
(c) 1.6 m (d) 3.6 m
10. Right angle triangle whose hypotenuse is of length p cm, one side of length q cm and p – q = 1, then the length of third side of the triangle is
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11. The area of a right angled triangle is 40 sq cm and its perimeter is 40 cm. The length of its hypotenuse is
(a) 16 cm (b) 18 cm
(c) 17 cm (d) data insufficient
Assertion-Reasoning MCQs Directions (Q. Nos. 12-16) Each of these questions contains two statements : Assertion (A) and Reason (R). Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.
(a) A is true, R is true; R is a correct explanation for A.
(b) A is true, R is true; R is not a correct explanation for A.
(c) A is true; R is False.
(d) A is false; R is true.
12. Assertion (A) All regular polygons of the same number of sides such as equilateral triangle, squares etc. are similar.
Reason (R) Two polygons are said to be similar, if their corresponding angles are equal and lengths of corresponding sides are proportional.
13. Assertion (A) ABCD is a trapezium with DC|| AB. E and F are points on AD and BC respectively such that EF || AB.
Reason (R) In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two.
17. Rohan wants to measure the distance of a pond during the visit to his native. He marks points A and B on the opposite edges of a pond as shown in the figure below. To find the distance between the points, he makes a right-angled triangle using rope connecting B with another point C are a distance of 12 m, connecting C to point D at a distance of 40 m from point C and the connecting D to the point A which at distance of 30 m from D such that ∠ADC = 90°
Based on the above information, answer the following questions
(i) Which property of geometry will be used to find the distance AC?
(a) Similarity of triangles
(b) Thales Theorem
(c) Pythagoras Theorem
(d) Area of similar triangles
(ii) What is the distance AC?
(a) 50 m (b) 12m
(c) 100 m (d) 70 m
(iii) Which is the following does not form a Pythagoras triplet?
(a) (7,24,25) (b) (15,8,17)
(c) (5,12,13) (d) 21,20,28)
(iv) Find the length AB?
(a) 12 m (b) 38 m
(c) 50m (d) 100 m
(v) Find the length of the rope used.
(a) 120 m (b)70 m
(c) 82 m (d)22 m
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18. Application of Pythagoras Theorem
A crow leaves a tree and flies due north at a speed of 600 km/h. At the same time, another crow leaves the same place and flies due west at the speed 800 km/h as shown below. After 3
Based on the above information, answer the following questions.
Based on the above information, answer the following questions.
(a) 1800 km (b) 1500 km
(c) 1400 km (d) 2100 km
(a) 1600 km (b) 2800 km
(c) 2250 km (d) 2625 km
(a) 1600 km (b) 2800 km
(c) 2250 km (d) 2625 km
(iii) In the given figure, ∠POQ is
(a) 70° (b) 90°
(c) 80° (d) 100°
(v) Area of ∆POQ is
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Answer key :-
| 1. A 2. A 3. B 4. A 5. D 6. C 7. A 8. C 9. C 10. A | 11. B 12. A 13. A 14.A 15. C 16. A 17. I,II,III,IV,V,C,A,D,B,C |
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