Question

20. Case Study Based-4 : Similarity of Triangles and Scale Factor.
Similar Figures: The ratio of two corresponding sides in similar figures is called scale factor.
Scale Factor =
Length in image
Corresponding length in object
(i) If in two triangles, two angles of one triangle are respectively equal to the two angles of the other
triangles, then the two triangle are similar by :
(a) AA similarity criterion
(b) SSS similarity criterion
(C) SAS similarity criterion
(d) RHS similarity criterion
(ii) In a triangle, if square of one side is equal to the sum of the squares of theother two sides, then the
angle opposite the first side is a right angle. This theorem is called as:
(a) Pythagoras theorem
(b) Thales theorem
(c) Converse of Thales theorem
(d) Converse of Pythagoras theorem
(iii) Sides of two similar triangles are in the ratio is 3:4. Corresponding medians of these triangles are
in the ratio :
(a 4:3
(b) 3:4
(c) 16:9
(d) 9:16
(iv) AABC is similar to ADEF, such that AB = 7 cm and DE = 9 cm. If the perimeter of ADEF is 27cm
what is the perimeter of AABC?
(a) 21 cm
(b) 25 cm
(c) 18 cm
(d) 27 cm
(U) A vertical pole of length 6 m casts a shadow 4m long on the ground and at the same time a towe
casts a shadow 30 m long. Find the height of the tower.
(a) 24 m
(b) 50 m
(c) 45 m
(d) 84 m​

Answer 1

Answer:

(i) (a) AA similarity criterion

(ii) (d) Converse of Pythagoras theorem

(iii) (b) 3:4

(iv) (a) 21 cm

(v) (c) 45 m

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