Proofs in Plane Geometry - Alternate Segment Theorem

Proofs in Plane Geometry - Alternate Segment Theorem

In the figure, \(TA\) is a tangent to the circle at \(A\) and is parallel to \(CB\). Given that \(TDC\) is a straight line, prove that

  1. \(\angle ATD = \angle BAD\),
  2. \(BA \times TD = AT \times AD\).

Video Solution:

Video Solution

Video solution locked

A free account saves your progress; this video needs a course plan.

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.

Answer:(i) Proved: \(\angle ATD=\angle BAD\) (ii) Proved: \(BA\times TD=AT\times AD\)

Need help? Join our A-Maths tuition classes.

Learn more