Similar Triangle
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1) PQ is the bisector of LPRS. l(PR) = 4, l(RQ) = 2, l(QS) = 5. \ l(PS) = ----
1.6 2.5 10
2) Find the value of x in + D XYZ if OP || YZ.l(XO) = 8 cm, l(XY) = 12 cm, l(XP) = 3x cm. l(PZ) = x + 2 . \ x = ----
2 4 6
3) In DMNO, PQ || NO.MP/PN = 4/3. MQ =8 cm. \l(QO) = ----
6 1.5 5
4) In DPQR, PS is the internal bisector of LQPR if l(PQ) = 3, l(QS) = 2, l(SR) = 4, \l(PR) = ----
4 5 6
5) Which of three are right angled triangles ----
11,12,13 6,8,10 9,10,11
6) Select right angled triangle ----
12,13,15 7,8,6 7,24,25
7) If the areas of two triangles DABC and DDEF are 64 cm2 and 121 cm2. If EF =13.2 cm. Find BC ----
9.6 8.6 7.6
8) The perimeterof two similar triangles DXYZ and D PQR are 39 cm and 26 cm.l(PQ) = 16cm. \l(XY) = ----
28 cm 20 cm 24 cm
9) In DPQR, AB || QR, AP = 8 cm,, AQ = 4 cm,l(BR) = 3 cm. \l(AE) = ----
4 6 8
10) The two triangles are similar if they are ----
Equal ) Equiangular Congruent
11) If three sides of one triangle is equal to the corresponding three sides of another then two triangles are congruent by ----
ASA test SAS test SSS test
12) In DXYZ,Ais the bisector of LXZY.l(XY) = 2.6, l(XZ) = 5.2, l(YA) = 1.8. \l(AZ) = ----
3.2 cm 3.6 cm 3.5 cm
13) Triangles PQR and DEF are similar. The area of triangle PQR is 9 sq.cm and DDEF is 16 sq.cm.If l(EF) = 4.2 cm. \l(QR) = ----
14) Triangles ABC and PQR are similar.l(BC) =3 cm, l(QR) = 4 cm and area of ABC = 54 sq.cm. \A( PQR) = ----
80 sq cm 96 sq cm 78 sq cm
15) Areas of two similar triangles are 49 cm2 and 64 cm2 respectively. \Ratio of the corresponding sides is ----
7:8 8:7 7:9
16) The ratio of the lengths of sides of two similar triangles is 5/9. \Ratio of their areas = ----
45/81 35/64 25/81
17) If two sides and the included angle of one triangle is congruent to corresponding triangles then triangles are congruent by ----
SSS SAS ASA
18) If DABC and DDEF are similar then DABC/ DDEF = ----
(BC)2/(EF)2 BC/EF EF/BC
19) In DPQR, AB || QR, l(AB) = 6 cm, l(QR) = 4 cm.A(D PAB) = 64 cm2. \A(D PQR) = ----
180 cm2 144 cm2 168 cm2
20) If two angles and the included side of one triangle is congruent to corresponding triangle then the two triangles are congruent by ----
SSS ASA SAS
21) In a trapezium AB || CD and it's diagonals AB and BD intersect at O.If AB = 2CD. \Area( DAOB)/area( DCOD) = ----
8 cm2 6 cm2 4 cm2
22) In a trapezium PQRS. PQ || SR and it's diagonals PR and SQ intersect at O.If PQ is 2(SR) and DPOQ = 64cm2. A( DSOR) = ----
19 cm2 16 cm2 24 cm2
23) Equal and similar triangles are ----
Equiangular Equiareal Congruent
24) In a right angled triangle,the square of the hypotenuse is equal to the sum of ---- of other two side.
cube square fourth power
25) In a triangle if the square of one side is equal to the sum of square of other two sides then the angle opposite to the first side is a ---- angle.
acute obtuse right
26) If ABCD is a parallelogram and AC and BD be diagonals then AB2 + BC2 + CD2 + DA2 = ----
AB2+DC2 AC2+BD2 AD2+CB2
27) In DABC, AD ^ BC, AD = BD = 5 cm,, BC = 17 cm. \Value of AC = ---
12 cm 13 cm 18 cm
28) Length of hypotenuse in a right angled triangle is (p) cm and one side is (q) cm.If p-q = 1. \Other side = ----
p+q Öp+q (p+q)2
29) If the three angles of one triangle is congruent to corresponding three angles of another then two triangles are congruent by ---
- ASA AAA SAS
30) A man goes 15 m due west and then 8 m due north. Find his distance from starting point ----
18 m 17 m 21 m
31) The perimeterof two similar triangles ABC and PQR are 36 cm and 24 cm.l(PQ) = 10cm. \AB = ----
18 cm 15 cm 17 cm
32) Two poles having heights 6m and 11m vertical on plane ground.If the distance between the feet is 12m. \Distance between their tops = ----
13m 15m 12m
33) If AB = 5 cm and AC = 12 cm of DABC . \A( DABC) = ----
60 cm2 30 cm2 40 cm2
34) By using a ladder 25m long a person reaches a window of a building 20m above the ground. \Distance of the foot of ladder from the building ----
16m 15m 12m
35) In a right angled triangle, at B, ifAB=BC=x, then AC = ----
2x xÖ2 x
36) The ratio of any two corresponding sides of two similar triangles is 3:2, the ratio of the areas is ----
9/4 6/2 8/2
37) Areas of two similar triangles PQR and XYZ are 64 cm2 and 121 cm2 respectively.If l(YZ) = 13.2 cm. \ l(QR) = ----
9.6 5.6 8.6
38) In DABC, DE || BC and AD/DB = 2/3 and AE = 3.7 cm. \EC = ----
0.55 55.5 5.55
39) In DABC,AD is the bisector of LBAC. AB = 6 cm,AC = 5 cm, BD = 3 cm. \DC = ----
2.5 cm 3.6 cm 10 cm
40) Triangles ABC and PQR are similar. The area of DABC = 16 sqcm and DPQR is 25 sqcm.If BC = 2.3 cm. \QR = ----
4.82 2.87 3.76