MCQ Class 10 Triangles Set I

1. There will be total 30 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. "A line from midpoint of one side of a triangle, parallel to second side bisects the third side." is the statement of:

basic proportionality theorem

converse of basic proportionality theorem

mid point theorem

converse of mid point theorem

Your comments:

Question 1 of 30

2. If a line divides any two sides of a triangle in the same ratio, then ______________

It is not possible

It divides the third side in the same ratio

It is parallel to the third side

Your comments:

Question 2 of 30

3. In the adjoiningfigure,

.What is the value of x

8 cm

16 cm

4 cm

2 cm

Your comments:

Question 3 of 30

4. In similar triangles ABC and MNP, AG and MH are the angle bisectors. What is the value of given that

AG=4, MH=7.

16/49

25/21

1/7

2/9

Your comments:

Question 4 of 30

35°

30°

10°

20°

Your comments:

Question 5 of 30

6. In ΔABC, if DE || BC, and AC = 15cm, then AE is equal to

Your comments:

Question 6 of 30

7. In the given triangle,

Pythagoras theorem can be applied and h = 12.2

Pythagoras theorem can not be applied but h= 12.8

Pythagoras theorem can be applied and h = 12

Pythagoras theorem can not be applied

Your comments:

Question 7 of 30

8. Two similar triangles ABC and DEF are such that ,AB=5cm, DE=12cm.

25/144

625/24

25/24

625/144

Your comments:

Question 8 of 30

9. The length of an altitude of an equilateral triangle of side a is:

Your comments:

Question 9 of 30

10. Given that

Your comments:

Question 10 of 30

11. In triangle ABC, points D,E,F are the mid points of the sides AB,BC and CA respectively which of the following is true?

Your comments:

Question 11 of 30

12. ABC PQR. If ar (ABC) = 2.25 m², ar (ΔPQR) = 6.25 m², PQ = 0.5 m, then length of AB is:

0.5 m

0.3 m

50 m

3 m

Your comments:

Question 12 of 30

13. If the ratios of areas of two similar triangles are 81: 49 the ratios of their corresponding angle-bisector segments is:

5:4

9: 7

625: 256

4: 5

Your comments:

Question 13 of 30

14. Look at the following figure. Start by finding the value for x₁, then for x₂, then x₃, and so on..Then the value for x₆ is

Your comments:

Question 14 of 30

15.

∠P = ∠Q + ∠R

∠S > ∠Q

∠S = ∠T

∠S = ∠Q

Your comments:

Question 15 of 30

16.

Perimeter

= 15 cm, Perimeter

=25 cm.If AB= 6 cm, then find DE.

Your comments:

Question 16 of 30

17. Anuj swims across a pool diagonally every day. The pool is 4 m wide, and it is 16 m diagonally across. What is the length of the pool?

15.49

14.14 m

12.14 m

16.49

Your comments:

Question 17 of 30

18. Which of the following cannot be the lengths of the sides a right triangle?

2 cm, 1 cm, √5 cm

9 cm, 15 cm, 12 cm

9 cm, 5 cm, 7cm

400 mm, 300 mm, 500 mm

Your comments:

Question 18 of 30

19. In adjoining fig. PQ || MN if

and KN = 20.4 Then KQ

4.9

2.4

4.8

4.6

Your comments:

Question 19 of 30

20. A line PQ divides the sides XY and XZ of a triangle XYZ in two parts such that XP = 1.8 cm, PY = 3.6 cm, XQ = 0.8 cm and QZ = 1.6 cm. By applying ………… theorem, it can be said that PQ||YZ.

Converse of Pythagoras

Phthagoras

Basic Proportionality

Converse of Basic Proportionality

Your comments:

Question 20 of 30

21. Two similar right triangles ABC and PQR are as shown in the figure.If AB=,√3 PQ

, BC=1.Find PR=?

2 √3

Your comments:

Question 21 of 30

22. Out of the following which one is an application of the Pythagoras theorem?

Area of a triangle formula

Mid-point formula

Section formula

Distance formula

Your comments:

Question 22 of 30

23. What is the diagonal length of a TV screen whose dimensions are 80 cm x 60 cm?

20 cm

10 cm

1000 cm

100 cm

Your comments:

Question 23 of 30

24. Given that DE ll BC,

, AE=x-4, EC= x-2What is the value of x?

Your comments:

Question 24 of 30

25. A Pythagorean triplet is 7, 24, X. What is the value of X?

Your comments:

Question 25 of 30

26. If ΔDEF

ΔABC and DE=AB, what is the relation between the two triangles?

Your comments:

Question 26 of 30

27. Which geometric figures are always similar?

Circles

Regular polygons

Circles and triangles

Circles and all regular polygons

Your comments:

Question 27 of 30

28. What is the diagonal length of a TV screen whose dimensions are 80 x 60 cm?

1000

100

Your comments:

Question 28 of 30

29. If the height of a right triangle is five inches less than the length of its base, and if the area of the triangle is 52 square inches. Find the hypotenuse of the triangle.

233 inches

109 inches

√233 inches

√ 109 inches

Your comments:

Question 29 of 30

30. Two friends A and B start from the same point in the Eastern and Northern directions at the same time. How far are they from each other when A has travelled 5 km and B has travelled 12 km. distance?

10 km

13 km

8 km

17 km

Your comments:

Question 30 of 30

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