Is the following statement true? Why? “Two quadrilaterals are similar, if their corresponding angles are equal”.

True

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False

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Solution

The correct option is B False
Define quadrilaterals :
A quadrilaterals is a polygon having four sides, four angles, and four vertices. Two quadrilaterals will be similar if their corresponding angles are equal and the ratio of corresponding sides area is also equal.
Two quadrilaterals can not be similar, if only their corresponding angles are equal.
Hence, the given statement is false.

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Similar questions

Write the truth value (T/F) of each of the following statements.
(i) Any two similar figures are congruent.
(ii) Any two congruent figures are similar.
(iii) Two polygons are similar, if their corresponding sides are porportional
(iv) Two polygons are similar, if their corresponding angles are porportional
(v) Two triangles are similar if their corresponding angles are proportional.
(v) Two triangles are similar if their corresponding angles are equal.

Q. Fill in the blanks using the correct word given in brackets :

(i) All circles are ......... (congruent, similar).
(ii) All squares are ........(similar, congruent).
(iii) All .......... triangles are similar (isosceles, equilateral):
(iv) Two triangles are similar, if their corresponding angles are .......... (proportional, equal)
(v) Two triangles are similar, if their corresponding sides are ........... (proportional, equal)
(vi) Two polygons of the same number of sides are similar, if (a) their corresponding angles are and (b) their corresponding sides are ...........(equal, proportional).

Fill in the blanks using the correct word given in brackets:
(i) All circles are ___ (conruent, similar).
(ii) All squares are ___ (similar, congruent)
(iii) All ___ triangles are similar (isoscles, equilaterals):
(iv) Two triangles are similar, if their corresponding sides are ___(propotional, equal)
(v) Two traingles are similar, if their corresponding sides are ___(proportional equal)
(vi) Two polygons of the same number of sides are similar, if (a) their corresponding angles are and (b) their corresponding are ___ (equal, proportional)

Q. Question 6
Is the following statement true? Why?
''Two quadrilaterals are similar if their corresponding angles are equal”.

Q. Question 6
Is the following statement true? Why?
''Two quadrilaterals are similar if their corresponding angles are equal”.

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