1) Two figures are said to be similar if: a) a) Their areas are equal b) b) Their shapes are same but sizes may differ c) c) Their perimeters are equal d) d) Their sizes are same but shapes may differ 2) In ∆ABC and ∆DEF, if ∠A = ∠D, ∠B = ∠E, then the two triangles are similar by: a) a) AAA criterion b) b) AA similarity criterion c) c) SSS similarity criterion d) d) SAS similarity criterion 3) The Basic Proportionality Theorem (Thales theorem) states: a) a) A line parallel to one side of a triangle divides the other two sides in equal parts b) b) A line parallel to one side of a triangle divides the other two sides in the same ratio c) c) All sides of a triangle are in proportion d) d) None of these 4) In ∆PQR, if a line parallel to QR intersects PQ and PR at points M and N respectively, then: a) a) PM/PQ = PN/PR b) b) QM/PQ = RN/PR c) c) PM/PQ = PN/PR = MN/QR d) d) PM/MQ = PN/NR 5) If in two triangles, corresponding sides are proportional, then triangles are similar by: a) a) SSS similarity criterion b) b) SAS similarity criterion c) c) RHS similarity criterion d) d) AAA similarity criterion 6) The Pythagoras theorem is applicable in: a) a) Any triangle b) b) Isosceles triangles only c) c) Right-angled triangles only d) d) Equilateral triangles 7) If ∆ABC ~ ∆PQR and AB/BC = PQ/QR = 1/2, then the ratio of their areas is: a) a) 1 : 2 b) b) 1 : 4 c) c) 2 : 3 d) d) 2 : 1 8) If the sides of two similar triangles are in the ratio 3:4, then the ratio of their areas is: a) a) 3:4 b) b) 9:16 c) c) 4:9 d) d) 16:9 9) In a right triangle, if one side is 5 cm, the other side is 12 cm, then the hypotenuse is: a) a) 11 cm b) b) 12 cm c) c) 13 cm d) d) 14 cm 10) In ∆XYZ, a line divides ∆XYZ into two parts of equal area. This line is: a) a) Median b) b) Altitude c) c) Angle bisector d) d) Perpendicular bisector

TRIANGLES CLASS X

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