SSS Similarity Criterion : If the corresponding sides of two triangles are proportional;then they are similar

State SSS similarity criterion.

State SAS similarity criterion.

SAS Similarity Criterion: If in two triangle; one pair of corresponding sides are proportional and the included angles are equal then two triangles are similar.

If corresponding sides of two similar triangles are in the ratio 4 : 5 , then corresponding medians of the triangles are in the ratio 4 : k . Find K .

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).

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.

If the ratio of corresponding sides of two similar triangles is 5 : 6, then find ratio of their areas.

State AA A similarity criterion.

Theorem 6.5 : If one angle of a triangle is equal to one angle of the other triangle and the sides including these angles are proportional, then the two triangles are similar.