CRITERIA FOR SIMILARITY OF TRIANGLES TRIANGLE 06 Class 10th Mathematics (Practice Sheet) 1 If in two triangles, ∠A = ∠D, ∠B = ∠E, and ∠C = ∠F, what is the most appropriate similarity criterion to conclude that the triangles are similar? A. AAA similarity criterion B. SSS similarity criterion C. AA similarity criterion D. SAS similarity criterion 2 In triangle ABC and triangle DEF, if AB DE = BC EF = AC DF , what is the similarity criterion that can be used to conclude that the triangles are similar? A. AAA similarity criterion B. SSS similarity criterion C. AA similarity criterion D. SAS similarity criterion 3 Which of the following is not a similarity criterion for two triangles? A. AAA B. SAS C. SSS D. ASA 4 In triangle ABC, ∠BAC = 90° and AD ⊥ BC. Then A. BD × CD = BC2 B. BD × CD = BC2 C. BD × CD = BC2 D. AB × AC = AD2 5 If one angle of a triangle is equal to one angle of another triangle, and the sides including these angles are proportional, what is the appropriate similarity criterion to conclude that the triangles are similar? A. AAA similarity criterion B. SSS similarity criterion C. AA similarity criterion D. SAS similarity criterion 6 In ΔABC and ΔAPQ, the length of the sides are given as AP = 4cm , PB = 8cm and BC = 6cm. Determine the ratio of the areas of triangle ABC and triangle APQ. 7 CE and DE are equal chords of a circle with centre O. If ∠AOB = 90°, then find ar(∆CED): ar(∆AOB). 8 In the figure given below, XY is parallel to BC, AX = 2cm, XB = 3cm, and the base of the triangle BC = 5cm, Then find the value of XY using Thales Theorem. Page 1 Email: Phone No: Website:
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