Grade 10 Exam > Grade 10 Tests > RS Aggarwal Test: Triangles - Grade 10 MCQ

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RS Aggarwal Test: Triangles - Question 1

Triangle ABC is such that AB = 3 cm, BC = 2 cm and CA = 2.5 cm. Triangle DEF is similar to ΔABC. If EF = 4 cm, then the perimeter of ΔDEF is :

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RS Aggarwal Test: Triangles - Question 2

In ΔABC, AB = 3 cm, AC = 4 cm and AD is the bisector of ∠A. Then, BD : DC is :

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RS Aggarwal Test: Triangles - Question 4

ABC is a triangle and DE is drawn parallel to BC cutting the other sides at D and E. If AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm, then AE is equal to :

RS Aggarwal Test: Triangles - Question 5

The line segments joining the mid points of the sides of a triangle form four triangles each of which is :

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RS Aggarwal Test: Triangles - Question 6

In ΔABC and ΔDEF, ∠A = 50°, ∠B = 70°, ∠C = 60°, ∠D = 60°, ∠E = 70°, ∠F = 50°, then ΔABC is similar to:

RS Aggarwal Test: Triangles - Question 7

D, E, F are the mid points of the sides BC, CA and AB respectively of ΔABC. Then ΔDEF is congruent to triangle

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RS Aggarwal Test: Triangles - Question 8

If in the triangles ABC and DEF, angle A is equal to angle E, both are equal to 40°, AB : ED = AC : EF and angle F is 65°, then angle B is :-

RS Aggarwal Test: Triangles - Question 9

In a right angled ΔABC, right angled at A, if AD ⊥ BC such that AD = p, If BC = a, CA = b and AB = c, then:

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RS Aggarwal Test: Triangles - Question 10

In the adjoining figure, XY is parallel to AC. If XY divides the triangle into equal parts, then the value of AX/AB =

RS Aggarwal Test: Triangles - Question 11

The ratio of the corresponding sides of two similar triangles is 1 : 3. The ratio of their corresponding heights is :

RS Aggarwal Test: Triangles - Question 12

The areas of two similar triangles are 49 cm^{2} and 64 cm^{2} respectively. The ratio of their corresponding sides is:

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RS Aggarwal Test: Triangles - Question 13

The areas of two similar triangles are 12 cm2 and 48 cm^{2}. If the height of the smaller one is 2.1 cm, then the corresponding height of the bigger one is:

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RS Aggarwal Test: Triangles - Question 14

In a triangle ABC, if AB, BC and AC are the three sides of the triangle, then which of the statements is necessarily true?

RS Aggarwal Test: Triangles - Question 15

The sides of a triangle are 12 cm, 8 cm and 6 cm respectively, the triangle is :

RS Aggarwal Test: Triangles - Question 16

In an equilateral triangle, the incentre, circumcentre, orthocentre and centroid are:

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RS Aggarwal Test: Triangles - Question 17

In the adjoining figure D is the midpoint of BC of a ΔABC. DM and DN are the perpendiculars on AB and AC respectively and DM = DN, then the ΔABC is :

RS Aggarwal Test: Triangles - Question 18

Triangle ABC is such that AB = 9 cm, BC = 6 cm, AC = 7.5 cm. Triangle ΔDEF is similar to ABC, If EF = 12 cm then DE is :

RS Aggarwal Test: Triangles - Question 19

In ΔABC, AB = 5 cm, AC = 7 cm. If AD is the angle bisector of ∠A. Then BD : CD is:

RS Aggarwal Test: Triangles - Question 20

In a ΔABC, D is the mid-point of BC and E is mid-point of AD, BF passes through E. What is the ratio of AF : FC?

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RS Aggarwal Test: Triangles - Question 22

The difference between altitude and base of a right angled triangle is 17 cm and its hypotenuse is 25 cm. What is the sum of the base and altitude of the triangle is ?

RS Aggarwal Test: Triangles - Question 23

If AB, BC and AC be the three sides of a triangle ABC, which one of the following is true?

RS Aggarwal Test: Triangles - Question 24

In the adjoining figure D, E and F are the mid-points of the sides BC, AC and AB respectively. ΔDEF is congruent to triangle :

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RS Aggarwal Test: Triangles - Question 25

In the adjoining figure ∠BAC = 60° and BC = a, AC = b and AB = c, then :

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