need help on this ### Problem Statement#### Geometry2) Given: Isosceles trapezoid with \( \overline{BC} \parallel \overline{AD} \), \( \overline{GP} \perp \overline{AB} \), \( \overline{EQ} \perp \overline{CD} \), \( P \) and \( Q \) are midpoints of \( \overline{AB} \) and \( \overline{CD} \) respectively.Prove: \( \triangle EFG \) is isosceles.### Diagram DescriptionA diagram is provided which illustrates the geometrical configuration. Here is a detailed breakdown of the diagram:1. **Isosceles Trapezoid**: - The quadrilateral \( BCAD \) is shown as an isosceles trapezoid. - \( \overline{BC} \parallel \overline{AD} \).2. **Perpendicular Lines**: - \( \overline{GP} \) is perpendicular to \( \overline{AB} \). - \( \overline{EQ} \) is perpendicular to \( \overline{CD} \). 3. **Midpoints**: - \( P \) is the midpoint of \( \overline{AB} \). - \( Q \) is the midpoint of \( \overline{CD} \).4. **Intersection Points**: - The lines \( \overline{GP} \) and \( \overline{EQ} \) intersect at point \( F \).5. **Additional Points**: - \( E \) is a point on line \( CD \). - \( G \) is a point on line \( AB \).The task is to prove that triangle \( \triangle EFG \) is isosceles.

Name: need help on this ### Problem Statement#### Geometry2) Given: Isoscele
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: need help on this ### Problem Statement#### Geometry2) Given: Isosceles trapezoid with \( \overline{BC} \parallel \overline{AD} \), \( \overline{GP} \perp \overline{AB} \), \( \overline{EQ} \perp \overline{CD} \), \( P \) and \( Q \) are midpoints of