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Similarity of Two Triangles...

Similarity of Two Triangles

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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.

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

Ratio of areas of two similar triangles are

If the areas of two similar triangles are equal, prove that they are congruent.