Which of the following statements is true,
A) Two similar triangles are always congruent. B) All squares are always similar .
C) All circles are not always similar.
D) All Rectangles are always similar.
Answers
Given : Statement
To Find : Which of the following statements is true,
A) Two similar triangles are always congruent.
B) All squares are always similar .
C) All circles are not always similar.
D) All Rectangles are always similar.
Solution:
A) Two similar triangles are always congruent.
FALSE
Triangle with sides 3 , 3 ,3 and 4 , 4 , 4 are Similar but not congruent.
All squares are always similar - TRUE
Yes as all angles are equal and all sides will have same proportion
All circles are not always similar. FALSE
All circle are always similar
All Rectangles are always similar. FALSE
its not necessary that all sides will have same proportion
Rectangle with sides 1 2 1 2 is not similar with 1 3 1 3
Hence All squares are always similar is only TRUE
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