Which of the following statements are true/false ? Justify your answer.
Two squares are similar figures.

A triangle and a square are two figures which are not similar.

A polygon of 10 sides cannot be similar to a polygon of 12 sides.

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Solution

$D e a r S t u d e n t, 1) T r u e, a s t h e y h a v e s a m e a n g l e s . 2) T r u e, t r i a n g l e h a s t h r e e s i d e a n d s q u a r e h a s 4 s o n o s i m i l a r i t y, 3) T r u e, s i m i l a r i t y c a n b e c o m p a r e d i n f i g u r e h a v i n g s a m e s i d e . R e g a r d s$

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Similar questions

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.

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 porportional
(iv) Two polygons are similar, if their corresponding angles are porportional

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)

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Which of the following statements are true/false ? Justify your answer. Two squares are similar figures. A triangle and a square are two figures which are not similar. ​A polygon of 10 sides cannot be similar to a polygon of 12 sides.

Dear Student, 1)True, as they have same angles. 2)True , triangle has three side and square has 4 so no similarity, 3)True , similarity can be compared in figure having same side. Regards

Which of the following statements are true/false ? Justify your answer.
Two squares are similar figures.

A triangle and a square are two figures which are not similar.

A polygon of 10 sides cannot be similar to a polygon of 12 sides.