Similarity of Triangles
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Rationalise the denominator of 1√6+√5−√11
- Isosceles
- Acute
- Scalene
- Equilateral
All __________ triangles are Similar.
If two triangles have their three pairs of corresponding sides equal, then the triangles are similar.
True
False
The method through which we find the value of one unit and then the value of required number of units is known as
Ratio
Unitary method
All of these
Proportion
All congruent figures are similar figures and vice-versa.
True
False
then, the side of △DEF that corresponds to the side AB of △ABC is ______.
- DE
- EF
- FD
- None of the above
What is the conjugate pair of2√5+√3
Two equilateral triangles are congruent when:
Their areas are proportional
Their angles are equal
Their sides are equal
Their sides are proportional
- corresponding angles
- area
- corresponding sides
- perimeter
A model of a ship is made to a scale of 1:250. Find the length of the ship, if the length of the model is 1.6 m.
300 m
400 m
450 m
800 m
- 2 : 3
- 2 : 1
- 8 : 3
- 1 : 2
- 1
- 2
- 3
- Infinite
In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP=BQ (see the given figure) Show that:
ΔAQB≅ΔCPD
A triangle ABC has been enlarged by scale factor k = 2.5 to the triangle A' B' C'.
Calculate:
(i) the length of AB, if A' B' = 6cm.
(ii) the length of C'A' if CA= 4cm.
AB = 2.4 cm
AB = 2.5 cm
C'A' = 12 cm
C'A' = 10 cm
Simplify (Root5_root2) × (root2_root3)
In Fig. X and Y are two points on equal sides AB and AC of a ΔABC such that AX = AY. Prove that XC = YB. [2 MARKS]
Given that
Triangle 1: 3 cm, 3 cm, 4 cm
Triangle 2: 6 cm, 6 cm, 8 cm
Triangle 3: 12 cm, 12 cm, 16 cm
Triangle 4: 24 cm, 24 cm, 32 cm
Find the scale factor used to enlarge Triangle 1 to get Triangle 2, Triangle 3, and Triangle 4.
Triangle 2: scale factor = 3
Triangle 3: scale factor = 2
Triangle 4: scale factor = 8Triangle 2: scale factor = 2
Triangle 3: scale factor = 3
Triangle 4: scale factor = 6Triangle 2: scale factor = 2
Triangle 3: scale factor = 4
Triangle 4: scale factor = 6Triangle 2: scale factor = 2
Triangle 3: scale factor = 4
Triangle 4: scale factor = 8
- 8.3 cm
- 2.1 cm
- 1.2 cm
- 2.4 cm
In ΔABC, with points P and Q on sides AB and AC, respectively such that APPB=AQQC. If PQ is extended to T such that PT = BC and PB = TC, then x is equal to
60∘
120∘
75∘
45∘
108o
72o
82o
182o
A model of a ship is made to a scale of 1:250. Find the length of the ship, if the length of the model is 1.6 m.
AB – AC = BC
- =
Which among these is the approximate value of π?
3/14
22/7
14/3
7/22
- ad
- bc
- cd
- ab
In given figure △ABC and △DEF are similar, BC=3 cm, EF=4 cm, and area of triangle ABC=54 cm2 find the area of △DEF in __ cm2
- 20 kg
- 30 kg
- 10 kg
- None