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MCQ Questions for Class 10 Maths Triangles with Answers

Free PDF Download of CBSE Class 10 Maths Chapter 6 Triangles Multiple Choice Questions with Answers. MCQ Questions for Class 10 Maths with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 10 Maths Triangles MCQs with Answers to know their preparation level.

Class 10 Maths MCQs Chapter 6 Triangles

1. O is a point on side PQ of a APQR such that PO = QO = RO, then
(a) RSÂ² = PR Ã— QR
(b) PRÂ² + QRÂ² = PQÂ²
(c) QRÂ² = QOÂ² + ROÂ²
(d) POÂ² + ROÂ² = PRÂ²

Answer

Answer: b

2. In ABC, DE || AB. If CD = 3 cm, EC = 4 cm, BE = 6 cm, then DA is equal to
(a) 7.5 cm
(b) 3 cm
(c) 4.5 cm
(d) 6 cm

Answer

Answer: c

3. AABC is an equilateral A of side a. Its area will beâ€¦

Answer

Answer: a

4. In a square of side 10 cm, its diagonal = â€¦
(a) 15 cm
(b) 10âˆš2 cm
(c) 20 cm
(d) 12 cm

Answer

Answer: b

5. In a rectangle Length = 8 cm, Breadth = 6 cm. Then its diagonal = â€¦
(a) 9 cm
(b) 14 cm
(c) 10 cm
(d) 12 cm

Answer

Answer: c

6. In a rhombus if d₁ = 16 cm, d₂ = 12 cm, its area will beâ€¦
(a) 16 Ã— 12 cmÂ²
(b) 96 cmÂ²
(c) 8 Ã— 6 cmÂ²
(d) 144 cmÂ²

Answer

Answer: b

7. In a rhombus if d₁ = 16 cm, d₂ = 12 cm, then the length of the side of the rhombus is
(a) 8 cm
(b) 9 cm
(c) 10 cm
(d) 12 cm

Answer

Answer: c

8. If in two As ABC and DEF, $\frac{\mathrm{AB}}{\mathrm{DF}}=\frac{\mathrm{BC}}{\mathrm{FE}}=\frac{\mathrm{CA}}{\mathrm{ED}}$ , then
(a) âˆ†ABC ~ âˆ†DEF
(b) âˆ†ABC ~ âˆ†EDF
(c) âˆ†ABC ~ âˆ†EFD
(d) âˆ†ABC ~ âˆ†DFE

Answer

Answer: d

9. It is given that âˆ†ABC ~ âˆ†DEF and $\frac{\mathrm{BC}}{\mathrm{EF}}=\frac{1}{5}$ . Then $\frac{\operatorname{ar}(D E F)}{\operatorname{ar}(A B C)}$ is equal to
(Ð°) 5
(b) 25
(c) $\frac{1}{25}$
(d) $\frac{1}{5}$

Answer

Answer: b

11. D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2 cm, BD = 3 cm, BC = 7.5 cm and DE || BC. Then, length of DE (in cm) is
(a) 2.5
(b) 3
(c) 5
(d) 6

Answer

Answer: b

12. If Î”ABC ~ Î”DEF and Î”ABC is not similar to Î”DEF then which of the following is not true?
(a) BC.EF = AC.FD
(b) AB.ED = AC.DE
(c) BC.DE = AB.EE
(d) BC.DE = AB.FD

Answer

Answer: c

13. If in two triangles DEF and PQR, ZD = ZQ and ZR = ZE, then which of the following is not true?

Answer

Answer: b

14. If Î”ABC ~ Î”PQR, $\frac{\mathrm{BC}}{\mathrm{QR}}=\frac{1}{3}$ then $\frac{\operatorname{ar}(PQR)}{\operatorname{ar}(BCA)}$ is
(a) 9
(b) 3
(c) 1/3
(d) 1/9

Answer

Answer: a

15. If Î”ABC ~ Î”QRP, $\frac{\operatorname{ar}(\mathrm{ABC})}{\operatorname{ar}(\mathrm{PQR})}=\frac{9}{4}$ , AB = 18 cm and BC = 15 cm, then PR is equal to
(a) 10 cm
(b) 12 cm
(c) $\frac{20}{3}$ cm
(d) 8 cm

Answer

Answer: a

16. If in triangles ABC and DEF, $\frac{\mathrm{AB}}{\mathrm{DE}}=\frac{\mathrm{BC}}{\mathrm{FD}}$ , then they will be similar, if
(a) âˆ B = âˆ E
(b) âˆ A = âˆ D
(c) âˆ B = âˆ D
(d) âˆ A = âˆ F

Answer

Answer: c

17. In the given figure, $\frac{\mathrm{AD}}{\mathrm{BD}}=\frac{\mathrm{AE}}{\mathrm{EC}}$ and âˆ ADC = 70Â° âˆ BAC =

(a) 70Â°
(b) 50Â°
(c) 80Â°
(d) 60Â°

Answer/Explanation

Answer: d
Explaination:
âˆµ DE || BC
âˆ´ âˆ ABC = 70Â°.
(Corresponding angles) Using angle sum property of triangle âˆ ABC + âˆ BCA + âˆ BAC = 180Â° âˆ BCA = 60Â°.

18. In given figure, AD = 3 cm, AE = 5 cm, BD = 4 cm, CE = 4 cm, CF = 2 cm, BF = 2.5 cm, then

(a) DE || BC
(b) DF || AC
(c) EF || AB
(d) none of these

Answer/Explanation

Answer: c
Explaination:

19. If Î”ABC ~ Î”EDF and Î”ABC is not similar to Î”DEF, then which of the following is not true? [NCERT Exemplar Problems]
(a) BC . EF = AC . FD
(b) AB . EF = AC . DE
(c) BC . DE = AB . EF
(d) BC . DE = AB . FD

Answer/Explanation

Answer: c
Explaination:

20. If in two triangles ABC and PQR, $\frac{\mathrm{AB}}{\mathrm{QR}}=\frac{\mathrm{BC}}{\mathrm{PR}}=\frac{\mathrm{CA}}{\mathrm{PQ}}$ , then [NCERT Exemplar Problems]
(a) Î”PQR ~ Î”CAB
(b) Î”PQR ~ Î”ABC
(c) Î”CBA ~ Î”PQR
(d) Î”BCA ~ Î”PQR

Answer/Explanation

Answer: a
Explaination:

21. Match the column:

(a) 1 â†’ A, 2 â†’ B, 3 â†’ C, 4â†’ D
(b) 1 â†’ D, 2 â†’ A, 3 â†’ C, 4 â†’ B
(c) 1 â†’ B, 2 â†’ A, 3 â†’ C, 4 â†’ D
(d) 1 â†’ C, 2 â†’ B, 3 â†’ D, 4 â†’ A.

Answer/Explanation

Answer: c
Explaination:
(c) Properties of triangles

22. In triangles ABC and DEF, âˆ B = âˆ E, âˆ F = âˆ C and AB = 3DE. Then, the two triangles are [NCERT Exemplar Problems]
(a) congruent but not similar
(b) similar but not congruent
(c) neither congruent nor similar
(d) congruent as well as similar

Answer/Explanation

Answer: b
Explaination: (b) Similar but not congruent

28. "If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio." This theorem is known as _____ .

Answer/Explanation

Answer:
Explaination:
Thales Theorem or Basic Proportionality Theorem

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MCQ Questions for Class 10 Maths Triangles with Answers