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grom808
2. PX=QX ----------- Definition of bisector.

3. AXP and AXQ ----------- Definition of perpendicular.

4. AXP=AXQ ------------- All right angles are congruent.

6. AXP=AXQ ------------ SAS congruence 

7. AP=AQ -------------Corresponding parts of congruent triangles

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The missing parts of the question is required.

The blanks are

2 Definition of bisector

3 Definition of perpendicular

4 [tex]\angle AXP=\angle AXQ[/tex]

6 SAS congruence postulate

7 Corresponding parts of congruent triangles

In the given figure.

Line AX is a perpendicular bisector of PQ.

This means [tex]PX\cong QX[/tex]

[tex]\angle AXP=\angle AXQ=90^{\circ}[/tex]

[tex]AX\cong AX[/tex] because it is the same side.

[tex]\triangle AXP\cong \triangle AXQ[/tex] because of the above three points SAS congruence.

[tex]AP\cong AQ[/tex] because they are corresponding parts of congruent triangles

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