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

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Solution

False
Two quadrilaterals are similar if their corresponding angles are equal and also their corresponding sides must be proportional.

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

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. 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 proportional.
(iv) Two polygons are similar, if their corresponding angles are proportional.
(v) Two triangles are similar if their corresponding sides are proportional.
(vi) Two triangles are similar if their corresponding angles are proportional.

Q. Statement 1: In two triangles, if two corresponding angles are equal, it’s not required to check whether the ratio of their corresponding sides is equal or not to state whether they are similar.
Statement 2: When two triangles are similar, the ratio of their corresponding sides is equal.

Q. If two triangles are similar then their corresponding angles are equal.

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

False Two quadrilaterals are similar if their corresponding angles are equal and also their corresponding sides must be proportional.

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

False
Two quadrilaterals are similar if their corresponding angles are equal and also their corresponding sides must be proportional.