Q.

State if the following is true or false.


The two examples of similar figures which are not congruent are two equilateral triangle whose sides 4cm and 5cm  and two square whose sides 4cm and 5cm.


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a

True

b

False 

answer is A.

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Detailed Solution

If the angle and side of the two polygons are same i.e. both sides and angles then polygons called the congruent.
Two examples of Similar figure which are not congruent given:
(a)Two equilateral triangle whose sides  and 4cm and 5cm respectively.
 (b) Two square whose sides  and 4cm and 5cm respectively.
If the angle of the two polygons has the same shape and size then the polygon is called as congruent.
Side of the two equilateral triangles are not the same and the side of the two squares are not the same, so these figures are not congruent.
Therefore, the examples are,  Two equilateral triangle whose sides 4cm and 5cm respectively. And two square whose sides 4cm and 5cm respectively.
Hence, the statement is true.
Hence, option 1 is correct.
 
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