Scale factor lab

<p>In the diagram, \(SA\) is the tangent to the circle with centre \(O\) at \(A\) and \(AB\) is a diameter. \(C\) is a point on the circle and the tangent to the circle at \(C\) intersects \(SA\) at \(T\). \(BCS\) is a straight line. Prove that</p>
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<ol class="i-list"><li data-list-item-id="item-i" data-list-item-path="item-i"><div class="list-item-paragraph">angle \(CTS = 2 \times\) angle \(CAT\) ,</div></li><li data-list-item-id="item-ii" data-list-item-path="item-ii"><div class="list-item-paragraph">\(ST = CT\) , and</div></li><li data-list-item-id="item-iii" data-list-item-path="item-iii"><div class="list-item-paragraph">\(SC \times OC = AC \times AT\) .</div></li></ol>

In the diagram, \(SA\) is the tangent to the circle with centre \(O\) at \(A\) and \(AB\) is a diameter. \(C\) is a point on the circle and the tangent to the circle at \(C\) intersects \(SA\) at \(T\). \(BCS\) is a straight line. Prove that

Proofs in Plane Geometry - Alternate Segment Theorem

Proofs in Plane Geometry - Alternate Segment Theorem

Video Solution:

Solution:

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