Theorem 6.4 : If in two triangles, sides of one triangle are proportional to (i.e., in the same ratio of ) the sides of the other triangle, then their corresponding angles are equal and hence the two triangles are similiar

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.

Is it true to say that, if in two triangles, an angle of one triangle is equal to an angle of another triangle and two sides of one triangle are proportional to the two sides of the other triangle, then the triangles are similar? Give reason for your answer.

Theorem 7.4 (SSS congruence rule) : If three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

If two angles and a side of one triangles are equal to two angles and a side of another triangles , the triangles are congruent.

The sides of a triangle are in a ratio of 4:5:6. the smallest angle is

The angles of a triangle are in a ratio of 8:3:1. the ratio of the longest side of the triangle to the next longest side is

If the angles of a triangle are in the ratio 4:1:1, then the ratio of the longest side to the perimeter is

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 one angle of a triangle is equal to the sum of the other two angles, then the triangle is

Triangles having equal areas and having one side of one of the triangles, equal to one side of the other, have their corresponding altitudes equal.