Fill in the blanks using the correct word given in bracket:
(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)
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(i)All circles are `similar`(congruent, similar)
(ii) All squares are `similar`. (similar, congruent)
(iii) All `equilateral` triangles are similar, (isosceles, equilateral)
(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(equal, proportional).
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Fill in the blanks using the correct word given in brackets: (a) All circles are ................... (congruent, similar) (b) All squares are ................... (similar, congruent) (c) All ....................... triangles are similar (isosceles, equilaterals):
Fill in the blanks using the correct word given in brackets: Two triangles are similar, if their corresponding angles are ...... (proportional, equal) Two triangles are similar, if their corresponding sides are ....... (proportional, equal) (iii) Two polygons of the same number of sides are similar, if (a) their corresponding angles are and (b) their corresponding sides are ........ (equal, proportional).
If two triangles are similar; prove that the ratio of the corresponding sides is same as the corresponding angle bisector segments.
Theorem 6.6 : The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
State, true or false : Two isosceles triangles are similar, if an angle of one is congruent to the corresponding angle of the other.
Write the truth value (T/F) of each of the following statements: (1)Two polygons are similar if their corresponding angles are proportional. (2)Two triangles are similar if their corresponding sides are proportional. (3) Two triangles are similar if their corresponding angles are proportional.
Write the truth value (T/F) of each of the following statements:(1) Any two similar figures are congruent.(2) Any two congruent figures are similar. (3) Two polygons are similar, if their corresponding sides are proportional.
Theorem 6.3 : If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar.
Construct a triangle similar to a given triangle ABC with its sides equal to 3/4 of the corresponding sides of the triangle ABC (i.e., of scale factor 3/4 ).
Construct a triangle similar to a given triangle ABC with its sides equal to 5/3 of the corresponding sides of the triangle ABC (i.e., of scale factor 5/3 ).
