Similarity of Triangles by SAS Criteria
Similarity of Triangles by SAS Criteria
Similarity of Triangles by SAS Criteria:
Theorem: If in two triangles one pair of corresponding sides are proportional and the included angles are equal then the two triangles are similar.
Given in To Prove Construction: Cut DX equal to AB and DY equal to AC. Join XY Proof: It has been given Replacing Ab with DX and AC with DY Taking Reciprocal and subtracting 1 from both sides
AB = DX [By Construction ] AC = DY [By Construction ]
From Eq (1) and (2) Therefore
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Illustration: If AD and PM are medians of triangles ABC and PQR respectively where | |
Solution: Given
As AD and PM are the medians so
BC= 2BD=2CD and QR= 2 QM= 2MR ......................(2) From Eq 1
Thus Hence Proved |  |
In the following figure, AB || QR. Find the length of PB.
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| Right Option : D | |||
| View Explanation | |||
In the following figure, XY || BC, Find the length of XY.
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| Right Option : C | |||
| View Explanation | |||
The above two triangles are similar by _________________ criteria. | |||
| Right Option : B | |||
| View Explanation | |||
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