Which of the following statements is false?
Which of the following statements is false?
The correct option is D None of the above.
Determine the false statement.
The explanation for the correct option:
Option (A). All isosceles triangles are similar.
Two planar figures are similar if the corresponding angle of inclination of their sides are equal and their corresponding sides are proportional.
This statement is false since the corresponding angle of any two isosceles triangles is not necessarily equal.
Hence the given statement is false and Option A. is the correct option
Option (D). None of these
Since there is one false statement. So, None of these itself is a false statement
So, Option (D) is the correct option.
The explanation for the incorrect option:
Option (B). All equilateral triangles are similar.
Since all the corresponding angles are equal to and corresponding sides are in the proportion as all are equal to each other, it makes all equilateral triangles similar.
thus, the statement is true and Option B is the incorrect option.
Option (C). All circles are similar.
Since, the shape of all circles is the same, that is, they are all around. A circle's diameter, on the other hand, can differ.
As a result, the circles look the same, thus, the statement is true,
and hence Option (C) is the incorrect option.
Hence, the correct Options are “Option (A) and Option (B)”.
None of the above.
Determine the false statement.
The explanation for the correct option:
Option (A). All isosceles triangles are similar.
Two planar figures are similar if the corresponding angle of inclination of their sides are equal and their corresponding sides are proportional.
This statement is false since the corresponding angle of any two isosceles triangles is not necessarily equal.
Hence the given statement is false and Option A. is the correct option
Option (D). None of these
Since there is one false statement. So, None of these itself is a false statement
So, Option (D) is the correct option.
The explanation for the incorrect option:
Option (B). All equilateral triangles are similar.
Since all the corresponding angles are equal to and corresponding sides are in the proportion as all are equal to each other, it makes all equilateral triangles similar.
thus, the statement is true and Option B is the incorrect option.
Option (C). All circles are similar.
Since, the shape of all circles is the same, that is, they are all around. A circle's diameter, on the other hand, can differ.
As a result, the circles look the same, thus, the statement is true,
and hence Option (C) is the incorrect option.
Hence, the correct Options are “Option (A) and Option (B)”.
