Question

What are the missing parts that correctly complete the proof?

Given: Point P is on the perpendicular bisector of segment A B. Prove: Point P is equidistant from the endpoints of segment A B. Art: A horizontal line segment A B with X as the midpoint is drawn. A vertical line X P is drawn. P is above the horizontal line. The angle P X B is labeled as a right angle. The line segments A X and B X are labeled with a single tick mark. A dotted line is used to connect point P with point A. Another dotted line is used to connect point P with point B.

Drag the answers into the boxes to correctly complete the proof.

Statement Reason
1. Point P is on the perpendicular bisector of AB¯¯¯¯¯. Given
2. Response area Definition of bisector
3. ∠PXA and ∠PXB are right angles. Response area
4. Response area All right angles are congruent.
5. ​ PX¯¯¯¯¯≅PX¯¯¯¯¯ ​ Reflexive Property of Congruence
6. Response area SAS Congruence Postulate
7. Response area Corresponding parts of congruent triangles are congruent.
8. Point P is equidistant from the endpoints of AB¯¯¯¯¯. Definition of equidistant


































What are the missing parts that correctly complete the proof?

Given: Point P is on the perpendicular bisector of segment A B. Prove: Point P is equidistant from the endpoints of segment A B. Art: A horizontal line segment A B with X as the midpoint is drawn. A vertical line X P is drawn. P is above the horizontal line. The angle P X B is labeled as a right angle. The line segments A X and B X are labeled with a single tick mark. A dotted line is used to connect point P with point A. Another dotted line is used to connect point P with point B.

Drag the answers into the boxes to correctly complete the proof.

Statement Reason
1. Point P is on the perpendicular bisector of AB¯¯¯¯¯. Given
2. Response area Definition of bisector
3. ∠PXA and ∠PXB are right angles. Response area
4. Response area All right angles are congruent.
5. ​ PX¯¯¯¯¯≅PX¯¯¯¯¯ ​ Reflexive Property of Congruence
6. Response area SAS Congruence Postulate
7. Response area Corresponding parts of congruent triangles are congruent.
8. Point P is equidistant from the endpoints of AB¯¯¯¯¯. Definition of equidistant

Answer 1

Answer:

1. point p is on the perpendicular bisector of AB¯¯¯¯¯- given

2. AXP≅BXP. definition of bisector

3. ∠PXA and ∠PXB are right angles. definition of perpendicular

4. ∠PXA≅ ∠PXB. All right angles are congruent.

5.PX¯¯¯¯¯≅PX¯¯¯¯¯ ​ Reflexive Property of Congruence

6.AXP≅AXQ. SAS Congruence Postulate

7.AX¯¯¯¯¯≅BX¯¯¯¯¯

8.Point P is equidistant from the endpoints of AB¯¯¯¯¯. Definition of equidistant

Step-by-step explanation:

Answer 2

Answer:

1. Point P is on the perpendicular bisector of AB¯¯¯¯¯. Given

2.   AX¯¯¯¯¯≅BX¯¯¯¯¯¯ . Definition of bisector

3. ∠PXA and ∠PXB are right angles . Definition of Perpendicular

4. ∠PXA and ∠PXB . All right angles are congruent.

5. ​ PX¯¯¯¯¯≅PX¯¯¯¯¯ ​. Reflexive Property of Congruence

6. △AXP≅△BXP . SAS Congruence Postulate

7. PA¯¯¯¯¯≅PB¯¯¯¯¯ . Corresponding parts of congruent triangles are congruent

8. Point P is equidistant from the endpoints of AB¯¯¯¯¯ . Definition of equidistant

Step-by-step explanation: