Q 1 – The length of each side of a rhombus whose diagonals are of lengths 10 cm and 24 cm is
(a) 25 cm
(b) 13 cm
(c) 26 cm
(d) 34 cm
(b) 13 cm
Q 2 – In the given figure, ∠T and ∠B are right angles. If the length of AT, BC and AS (in centimeters) are 15, 16, and 17 respectively, then the length of TC (in centimeters) is:
(a) 18
(b) 16
(c) 19
(d) 12
(c) 19
Q 3 –In triangle MNS, A and B are points on the sides MN, NS respectively. AN = 
MN, BS= MS. Then AB is …………………. to NS :
(a) Not Perpendicular
(b) Parallel
(c) Perpendicular
(d) Not Parallel
(b) Parallel
Q 4 – In the given figure, value of x(in cm) is
(a) 4
(b) 5
(c) 6
(d) 8
(b) 5
Q 5 – 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
(c) 10 cm
Q 6 – In triangle DEF, GH is a line parallel to EF cutting DE in G and and DF in H. If DE = 16.5, DH = 5, HF = 6 GE = ?
(a) 9
(b) 10
(c) 7.5
(d) 8
(a) 9
Q 7 – In the given figure ΔABC ~ ΔPQR. The value of x is
(a) 2.5 cm
(b) 3.5 cm
(c) 2.75 cm
(d) 3 cm
(d) 3 cm
Q 8 – ΔABC ~ ΔPQR, ∠B = 50° and ∠C = 70° then ∠P is equal to
(a) 50°
(b) 60°
(c) 40°
(d) 70°
(b) 60°
Q 9 – The perimeters of two similar triangles ABC and PQR are 60 cm and 36 cm respectively. If PQ = 9 cm, then AB equals
(a) 6 cm
(b) 10 cm
(c) 15 cm
(d) 24 cm
(c) 15 cm
Q 10 – Which geometric figures are always similar?
(a) Circles
(b) Circles and all regular polygons
(c) Circles and triangles
(d) Regular
(b) Circles and all regular polygons
Q 11 – If ΔABC is similar to ΔDEF such that 2 AB = DE and BC = 8 cm then EF is equal to.
(a) 12 cm
(b) 4 cm
(c) 16 cm
(d) 8 cm
(c) 16 cm
Q 12 – The ratio of the areas of two similar triangles is equal to the:
(a) square of the ratio of their corresponding sides.
(b) the ratio of their corresponding sides
(c) square of the ratio of their corresponding angles
(d) None of the above
(a) square of the ratio of their corresponding sides.
Q 13 – ΔABC ~ ΔDEF. If AB = 4 cm, BC = 3.5 cm, CA = 2.5 cm and DF = 7.5 cm, then the perimeter of ΔDEF is
(a) 10 cm
(b) 14 cm
(c) 30 cm
(d) 25 cm
(c) 30 cm
Q 14 – If ΔABC ∼ ΔDEF and EF = 
BC, then ar(ΔABC):(ΔDEF) is
(a) 3 : 1.
(b) 1 : 3.
(c) 1 : 9.
(d) 9 : 1.
(c) 1: 9
Q 15 – If in triangles ABC and DEF, 
, then they will be similar when
(a) ∠A = ∠D
(b) ∠A = ∠E
(c) ∠B = ∠E
(d) ∠C = ∠F
(b) ∠A = ∠E
Q 16 – In the given figure, ΔACB ~ ΔAPQ. If AB = 6 cm, BC = 8 cm, and PQ = 4 cm then AQ is equal to
(a) 2 cm
(b) 2.5 cm
(c) 3 cm
(d) 3.5 cm
(c) 3 cm
Q 17 – Two poles stand on the ground at a distance of 20m and 50 m respectively from a point A on the ground, the taller pole at 30 m from the smaller pole. A cable originates from the top of the taller pole, passing on the other pole ends on a hook at point A. If the length of the cable is 100 m , how much of it lies between the the two poles?
(a) 50 m
(b) 40 m
(c) 60 m
(d) 80 m
(c) 60 m
Q 18 – ΔABC and ΔBDE are two equilateral triangles such that D is the midpoint of BC. The ratio of the areas of triangle ΔABC and ΔBDE is.
(a) 2 : 1
(b) 1 : 2
(c) 4 : 1
(d) 1 : 4
(c) 4 : 1
Q 19 – How many elements are there in a triangle?
(a) 3
(b) 4
(c) 6
(d) 8
(a) 3
Q 20 – In the given figure ΔABC ~ ΔPQR, PM is median of ΔPQR. If ar ΔABC = 289 cm², BC = 17 cm, MR = 6.5 cm then the area of ΔPQM is
(a) 169 cm²
(b) 13 cm²
(c) 84.5 cm²
(d) 144.5 cm²
(c) 84.5 cm²
Q 21 – If two sides of a triangle are not equal the triangle is called
(a) scalene
(b) isosceles
(c) equilateral
(d) right-angled
(a) scalene
Q 22 – In the given figure, PQ = 24 cm, QR = 26 cm ∠PAR = 90°, PA = 6 cm, and AR = 8 cm, the degree measure of ∠QPR is
(a) 90°
(b) 100°
(c) 50°
(d) 45°
(a) 90°
Q 23 – If one angle of a triangle is obtuse, the triangle is called
(a) acute-angled
(b) right-angled
(c) scalene
(d) obtuse-angled
(d) obtuse-angled
Q 24 – In the given figure the value of x is
(a) 4 cm
(b) 5 cm
(c) 8 cm
(d) 3 cm
(c) 8 cm
Q 25 – In a right triangle, if hypotenuse is H, perpendicular is P and base is B then
(a) B² = H² + P²
(b) H² = P² + B²
(c) H² = P² – B²
(d) P² = B² + H²
(b) H² = P² + B²
Q 26 – Find the angle x in the given figure.
(a) 40°
(b) 45°
(c) 50°
(d) 60°
(c) 50°
Q 27 – In ΔLMN, ∠L = 50° and ∠N = 60°, If ΔLMN ~ ΔPQR, then find ∠Q
(a) 50°
(b) 70°
(c) 60°
(d) 40°
(b) 70°
Q 28 – In the given figure, find ‘x’
(a) 60°
(b) 70°
(c) 80°
(d) 75°
(b) 70°
Q 29 – Least number of possible acute angles in a triangle is:
(a) 0
(b) 1
(c) 2
(d) 3
(c) 2
Q 30 – O is a point on side PQ of a APQR such that PO = QO = RO, then
(a) RS² = PR × QR
(b) PR² + QR² = PQ²
(c) QR² = QO² + RO²
(d) PO² + RO² = PR²
(b) PR² + QR² = PQ²