Question

1. given isosceles triangle △fox with a base (overline{of}) answer the following questions which angle, if any, is congruent to ∠f? select what side, if any, is congruent to (overline{of})? select what is the non - congruent angle? select

Explanation:

Step1: Recall isosceles - triangle property

In an isosceles triangle with base \(OF\), the angles opposite the equal sides are equal.

Step2: Identify congruent angle to \(\angle F\)

The angle opposite the equal - side to the side opposite \(\angle F\) is \(\angle O\). So \(\angle O\) is congruent to \(\angle F\).

Step3: Analyze congruent side to \(OF\)

There is no side congruent to the base \(OF\) in an isosceles triangle (the two equal sides are the non - base sides).

Step4: Determine non - congruent angle

The non - congruent angle is the angle opposite the base. In \(\triangle FOX\) with base \(OF\), the non - congruent angle is \(\angle X\).

Answer:

Which angle, if any, is congruent to \(\angle F\): \(\angle O\)
What side, if any, is congruent to \(\overline{OF}\): None
What is the non - congruent angle: \(\angle X\)