Answer
The statement: “If the measures of two angles of one triangle are equal to those of two angles of a second triangle, then the two triangles have same size and shape”. is false.
Work Step by Step
The theorem of similar triangles says that, if the measures of the two angles of a triangle are equivalent to that of the other triangle then both the triangles are similar.
Corresponding sides are proportional in case of similar triangles. Also, similar triangles are those which are of the same shape but not necessarily of the same size.
Hence, the given statement is false.
The correct statement is “If the measures of two angles of one triangle are equal to those of two angles of a second triangle, then the two triangles are similar”.
