Mathematics
Directions (Q. 41 to 44): These questions are based on the following information :
In the given figure, ABC is a triangle and PQ is a straight line meeting AB in P and AC in Q. It is given that AP = 1 cm, PB = 3 cm, AQ = 1.5 cm, QC = 4.5 cm and PQ = 2 cm.
41. The perimeter of ΔABC is:
12 cm
16 cm
18 cm
24 cm
42. The ratio of the areas of ΔAPQ and ΔABC is:
1 : 3
1 : 4
1 : 9
1 : 16
43. Which of the following holds true?
ΔAPQ ∼ ΔABC
ΔAQP ∼ ΔABC
ΔAPQ ∼ ΔACB
none of these
44. Which axiom of similarity applies in the above case?
AAA
AA
SSS
SAS
Related Questions
In the given figure, D, E and F are the mid-points of the sides BC, AC and AB respectively of ΔABC. Then which of the following does not hold true?
ΔAFE ∼ ΔABC
ΔFBD ∼ ΔABC
ΔEDC ∼ ΔABC
ΔDFE ∼ ΔABC
Directions (Q. 45 to 48): Using the given diagram answer the following questions.
In ΔPQR, AB ∥ QR, QP ∥ CB and AR intersects CB at O.
45. The triangle similar to ΔARQ is:
ΔORC
ΔARP
ΔOBR
ΔQRP
46. ΔPQR ∼ ΔBCR by axiom:
SAS
AAA
SSS
AAS
47. If QC = 6 cm, CR = 4 cm, BR = 3 cm, then the length of RP is:
4.5 cm
5 cm
7.5 cm
8 cm
48. The ratio PQ : BC is:
2 : 3
3 : 2
2 : 5
5 : 2
Directions (Q. 49 to 52): Answer these questions on the basis of the following information:
Through the mid-point M of the side CD of a ∥gm ABCD, the line BM is drawn, intersecting AC on L and AD produced in E.
49. Which of the following is true for triangles BMC and EMD ?
I. They are similar to each other.
II. They are congruent to each other.
III. Their areas are equal.
IV. Their perimeters are equal.
I and II
II and III
I and III
I, II, III and IV
50. ΔAEL is similar to:
ΔCBL
ΔCML
ΔDME
ΔBMC
51. By which axiom are the above triangles similar?
AA
SSS
SAS
ASA
52. EL : BL is equal to :
1 : 2
2 : 1
1 : 3
3 : 1