Question

1. developing proof whats wrong with this picture? explain.

Explanation:

Step1: Recall Isosceles Triangle in Circle

In a circle, if two chords are congruent (marked with the same tick marks), the central angles subtended by them should be equal. Here, both triangles have two sides as radii (so they are isosceles with the two radii equal) and the chord (marked congruent) equal. So the central angles should be equal.

Step2: Compare Central Angles

The central angles are given as \(44^\circ\) and \(42^\circ\), which are not equal. But since the chords (the sides with tick marks) are congruent, their subtended central angles must be equal. This is a contradiction.

Answer:

The central angles subtended by the congruent chords (marked with tick marks) should be equal, but here they are \(44^\circ\) and \(42^\circ\) (unequal), which is wrong.