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MCQ Congruence and similarity of triangle for Competitive Exam – Quantitative Aptitude

1. If ABC and PQR are similar triangles in which ∠A = 47° and ∠Q = 83°, then ∠C is:

Question 1 of 20

2. In the following figure which of the following statements is true?

Question 2 of 20

3. In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. The length of the smallest side of the triangle PQR is :

Question 3 of 20

4. If the length of the three sides of a triangle are 6 cm, 8 cm and 10 cm, then the length of the median to its greatest side is -

Question 4 of 20

5. Consider the triangle shown in the figure where BC = 12 cm, DB = 9 cm, CD = 6 cm and ∠BCD = ∠BAC.
What is the ratio of the perimeter of the triangle ADC to that of the triangle BDC ?

Question 5 of 20

6. In the given figure DE∥BC, if AD = 5.9cm, DB = 4cm and AE = 7cm then, what will be the value of AC?

Question 6 of 20

7. What is the value of x?

Question 7 of 20

8. In the given figure, LM∥PQ, what will be the relation between x, a, b and c?

Question 8 of 20

9. If DE∥BC, AD = 4cm, BD = 7.5cm, AE = 6.4 cm & DE = 5cm then what will be the lengths of AC and BC?

Question 9 of 20

10. If ∠A = ∠P, ∠B = ∠Q, ∠C = ∠R then, ∆ABC & ∆PQR are similar according to which test?

Question 10 of 20

11. The sides of two similar triangles are in the ratio 9 ∶ 4. Areas of these triangles are in the ratio

Question 11 of 20

12. ABC is a triangle and D is a point on the side BC. If BC = 16 cm, BD = 11 cm and ∠ADC = ∠BAC, then the length of AC is equal to:

Question 12 of 20

13. If ΔABC is similar to ΔDEF such that BC = 3 cm, EF = 4 cm and area of ΔABC = 54 cm², then the area of ΔDEF is:

Question 13 of 20

14. The sides of similar triangles ΔPQR and ΔDEF are in the ratio 5 ∶ 6. If area of ΔPQR is equal to 75 cm2, what is the area of ΔDEF?

Question 14 of 20

15. Here is a pair of congruent triangles. Which congruence condition is satisfied?

Question 15 of 20

16. Triangles LMN and XYZ are similar triangles. Where LN =12, XZ =30, & MN =8  What is the length of YZ =?

Question 16 of 20

17. Here are two similar shapes. The volume of shape B is 35840cm³. Find the volume of shape A

Question 17 of 20

18. In a right angled ΔMLK, ∠MLK = 90°, ML = 3, LK = 4, KM = 5; LN is perpendicular to KM, MN : NK is

Question 18 of 20

19. In a triangle ABC, incentre is O and ∠BOC = 110°, then the measure of ∠BAC is:

Question 19 of 20

20. Triangle ABC is similar to triangle DEF. If AB = 12 cm, DE = 18 cm, and BC = 8 cm, what is the length of CF?

Question 20 of 20


 

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