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Prove that CAD is isosceles.

April 12, 2026Mathematics

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Step-by-step solution

4 steps

a) Prove that $\triangle CAD$ is isosceles.

Identify parallel lines and transversal angles.
Given that AD || CG.
Considering AC as a transversal, we have $\angle DAC = \angle ACG$ (alternate interior angles).
Use the given angle equality.
We are given that $C_2 = C_3$ , which means $\angle ACG = \angle BCG$ .
Combine the angle equalities.
From Step 1 and Step 2, we have $\angle DAC = \angle BCG$ .
Use angles subtended by the same arc.
Angles subtended by the same arc at the circumference are equal.
$\angle BAG$ and $\angle BCG$ are both subtended by

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