Question

Given: $\Delta A\perp AB$, $CB\perp AB$ and $AC=BD$
State $3$ points of equal pairs in $\Delta ABC$ & $\Delta ABD$ & Congruence rule.

Answer 1

In $△ABC$ and $△ABD$

$\angle A=\angle B={90}^{\circ }$ [A]

$AC=BD$

$\Rightarrow AD=BC$ [S]

$AD\parallel BC$ [S]

From SAS theorem $△ABC\cong △ABD$