Concept explainers
To name two pairs to similar
Answer to Problem 18WE
Explanation of Solution
Given:
Inscribed quadrilateral
Diagonals intersect at
In
As
Which also means
Thus, from equation (i) and (ii)and by angle-angle theorem of similarity of triangles
Now in
Now as segment QP and segment RS extend and meet at a common point V outside the circle, while passing through the ends of segment PS , it can be said that
As a result,
Thus, from equation (iii) and (iv)and by angle-angle theorem of similarity of triangles
Therefore, the two pair of similar triangles are
Conclusion:
Therefore, the two pair of similar triangles are
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