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: 50°70°60°80°Question 1 of 202. In the following figure which of the following statements is true? AB = BDAC = CDBC + CDAD < CdQuestion 2 of 203. 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 :6 cm8 cm7 cm10 cmQuestion 3 of 204. 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 -8 cm6 cm5 cm4.8 cmQuestion 4 of 205. 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 ? 7 : 98 : 96 :95 : 9Question 5 of 206. In the given figure DE∥BC, if AD = 5.9cm, DB = 4cm and AE = 7cm then, what will be the value of AC? 2.3 cm5.1 cm11.74 cm10.9 cmQuestion 6 of 207. What is the value of x? 0123Question 7 of 208. In the given figure, LM∥PQ, what will be the relation between x, a, b and c? a = \( \frac{C}{D} \)ab = cxbx = accb = axQuestion 8 of 209. If DE∥BC, AD = 4cm, BD = 7.5cm, AE = 6.4 cm & DE = 5cm then what will be the lengths of AC and BC? 11.23 cm15.24 cm14.37 cm14.25 cmQuestion 9 of 2010. If ∠A = ∠P, ∠B = ∠Q, ∠C = ∠R then, ∆ABC & ∆PQR are similar according to which test? AAA testAA testSAS testSSS testQuestion 10 of 2011. The sides of two similar triangles are in the ratio 9 ∶ 4. Areas of these triangles are in the ratio16 ∶ 8181 ∶ 169 ∶ 4None of the aboveQuestion 11 of 2012. 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:4\( \sqrt{5} \)cm4 cm3\( \sqrt{5} \)cmNone of the aboveQuestion 12 of 2013. 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:66 cm²78 cm²96 cm²None of the aboveQuestion 13 of 2014. 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?150 cm²90 cm²108 cm²120 cm²Question 14 of 2015. Here is a pair of congruent triangles. Which congruence condition is satisfied? ASASASSSSRHSQuestion 15 of 2016. Triangles LMN and XYZ are similar triangles. Where LN =12, XZ =30, & MN =8 What is the length of YZ =? 10122025Question 16 of 2017. Here are two similar shapes. The volume of shape B is 35840cm³. Find the volume of shape A 4480cm³560cm³8960cm³2240cm³Question 17 of 2018. In a right angled ΔMLK, ∠MLK = 90°, ML = 3, LK = 4, KM = 5; LN is perpendicular to KM, MN : NK is 3 : 49:163:161:4Question 18 of 2019. In a triangle ABC, incentre is O and ∠BOC = 110°, then the measure of ∠BAC is: 20°40°55°110° Question 19 of 2020. Triangle ABC is similar to triangle DEF. If AB = 12 cm, DE = 18 cm, and BC = 8 cm, what is the length of CF?4 cm6 cm9 cm12 cmQuestion 20 of 20 Loading...
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