A Theorem from Elementary Geometry States: If P₁ and P₂

question 38

Essay

A theorem from elementary geometry states: If P₁ and P₂ are on opposite sides of a line segment and an equal distance from the endpoints, then the line through P₁ and P₂ is a perpendicular bisector of the segment. Verify this is true for the segment and points shown.

---

Definitions:

Adoration of the Shepherds

A theme in Christian art depicting shepherds visiting the newborn Jesus Christ in Bethlehem, symbolizing his announcement to the common people.

Nativity

The birth of Jesus Christ, often depicted in Christian art and celebrated as a major holiday on December 25th.

Wren's Design

Refers to the architectural work of Sir Christopher Wren, most notably his design of St. Paul's Cathedral in London.

Saint Paul's Cathedral

A landmark church in London, England, designed by Sir Christopher Wren, notable for its distinctive dome and role in British national events.