Fill in the blanks using correct word given in the brackets:− (i) All circles are __________. (congruent, similar) (ii) All squares are __________. (similar, congruent) (iii) All __________ triangles are similar. (isosceles, equilateral) (iv) Two polygons of the same number of sides are similar, if (a) their corresponding angles are __________ and (b) their corresponding sides are __________. (equal, proportional)
Answers
Answer:
1 similar
2 similar
3 equilateral
4( a) equal
(b) proportional
Answer:
(i) All circles are similar.
Because a circle is having a particular length in circular form and all the points are equidistant from the center, which is defined as the scale factor and which is used to proof that for similar.
ii) All squares are similar.
Now, all squares are always similar. Their size may not be equal but their ratios of corresponding parts will always be equal. As, the ratio of their corresponding sides are equal hence, the two squares are similar.
iii) All equilateral triangles are similar.
All equilateral triangles are similar because they have same length of sides and thus we can proof them similar using that form.
iv) Two polygons of the same number of sides are similar, if (a) their corresponding angles are equal and (b) their corresponding sides are proportional.