Q:

What are the missing parts that correctly complete the proof Given: Point P is the perpendicular bisector of ABProve: P is equidistant from the endpoints ABDrag the answers into the boxes to correctly complete the proof1. Point P is on the perpendicular bisector of AB given 2.__definition of bisector3.4.__all angles are congruent 5.PX=PX reflexive property of congruence6.__SAS congruency postulate7.__ corresponding parts of congruent triangles are congruent8. Point P is equidistant from the endpoints of AB definition of equidistant

Accepted Solution

A:
Answer:2. [tex]\overline{AX}\cong \overline{BX}[/tex]3. [tex]PX \perp AB[/tex] - definition of perpendicular4. [tex]\angle PXA \cong \angle PXB[/tex] - all right angles are congruent6. [tex]\triangle AXP\cong \triangle BXP[/tex] 7. [tex]\overline{PA} \cong \overline{PB}[/tex] Step-by-step explanation:Given: Point P is the perpendicular bisector of ABProve: P is equidistant from the endpoints ABProof.1. Point P is on the perpendicular bisector of AB - given2.[tex]\overline{AX}\cong \overline{BX}[/tex] - definition of bisector3. [tex]PX \perp AB[/tex] - definition of perpendicular4. Β [tex]\angle PXA \cong \angle PXB[/tex] - all right angles are congruent5. [tex]\overline{PX} \cong \overline{PX}[/tex] - reflexive property of congruence6. [tex]\triangle AXP\cong \triangle BXP[/tex] - SAS congruency postulate7. [tex]\overline{PA} \cong \overline{PB}[/tex] - corresponding parts of congruent triangles are congruent8. Point P is equidistant from the endpoints of AB - definition of equidistant