tburleson05
contestada

What are the missing parts that correctly complete the proof? Given: Point A is on the perpendicular bisector of segment P Q. Prove: Point A is equidistant from the endpoints of segment P Q. Image: A horizontal line segment P Q. A midpoint is drawn on segment P Q labeled as X. A vertical line X A is drawn. A is above the horizontal line. The angle A X Q is labeled a right angle. The line segments P X and Q 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 Q with point A. Drag the answers into the boxes to correctly complete the proof. Statement Reason 1. Point A is on the perpendicular bisector of PQ¯¯¯¯¯. Given 2. PX¯¯¯¯¯≅QX¯¯¯¯¯¯ Response area 3. ∠AXP and ∠AXQ are right angles. Response area 4. Response area All right angles are congruent. 5. AX¯¯¯¯¯≅AX¯¯¯¯¯ Reflexive Property of Congruence 6. △AXP≅△AXQ Response area 7. ​ AP¯¯¯¯¯≅AQ¯¯¯¯¯ ​ Response area 8. Point A is equidistant from the endpoints of PQ¯¯¯¯¯. Definition of equidistant Look below me

What are the missing parts that correctly complete the proof Given Point A is on the perpendicular bisector of segment P Q Prove Point A is equidistant from the class=

Respuesta :

beastmaster745

Answer:

These are the answers in order

Step-by-step explanation:

1. Definition of bisector

2. Definition of perpendicular

3. ∠AXP ≅ ∠AXQ

4. SAS Congruence Postulate

5. Corresponding parts of congruent triangles are congruent

The missing parts that complete the proof are;

2) Definition of a bisector.

3) Perpendicular Definition.

4) ∠AXP ≅ ∠AXQ

6) SAS Congruence Theorem.

7) Corresponding sides of 2 congruent triangles are congruent.

  • We are given that;

Point A is the perpendicular bisector of PQ

Point A is equidistant from the endpoints of PQ.

  • 2) We are told that PX = QX; Since A bisects PQ at X, it means it divides it into 2 equal parts. Thus, this id true because it corresponds with the definition of a bisector.

  • 3.  ∠AXP and ∠AXQ are right angles; Since perpendicular means right angle or 90°, we can say that this statement is true because it corresponds with the definition of perpendicular.

  • 4. All right angles are congruent; This simply means they are equal. Thus, the two right angles here ∠AXP and ∠AXQ are congruent. We can write this with congruency symbol as; ∠AXP ≅ ∠AXQ

  • 6. △AXP≅△AXQ; This means that △AXP is congruent to △AXQ. From the diagram, we can see that AP = AQ and that QX = PX and that ∠AXP = ∠AXQ. This means 2 corresponding sides and one corresponding angle are equal and the congruence theorem this depicts is SAS Congruence Theorem.

  • 7. AP = AQ; This is true because we are told A is equidistant from both P and Q. Also, from the SAS congruency theorem, we can say that the corresponding sides AP and AQ are congruent.

Read more at; https://brainly.com/question/11357763

Otras preguntas