Similarity of Two Triangles

Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at the point ‘O’. Using the criterion of similarity for two triangles, show that (OA)/(OC) = (OB)/(OD) .

Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at the point ‘O’. Using the criterion of similarity for two triangles, show that (OA)/(OC) = (OB)/(OD) .

Consider the following statements : 1. If two triangles are equiangular, then they are similar. 2. If two triangles have equal area, then they are similar. Which of the statements given above is/are correct?

In the adjoining figure, angleABC = 75^@ , angleEDC = 75^@ . State which two triangle are similar and by which test? Also write the similarity of these two triangles by a proper one to one correspondence.

In the figure /_ABC=75^(@) /_EDC=75^(@) State which two triangles are similar and by which test? Also write the similarity of these two triangles by a proper one to one correspondence.

In the adjoining figure, angleABC = 75^@ , angleEDC = 75^@ . State which two triangle are similar and by which test? Also write the similarity of these two triangles by a proper one to one correspondence.

Criteria for similarity OF triangles || Condition OF two triangles be similar-: All angles OF both triangles equal || Ratio OF corresponding sides on equal || AAA similarity || AA similarity || SAS similarity || Examples

The ratio of corresponding sides of two similar triangles is 2:3 , then the ratio of the perimeters of two triangles is 4:9 (True/False).

Assertion (A): Two similar triangles are always congruent. Reason (R ): It the area of two similar triangles are equal then the triangles are congruent