Select the correct answer from each drop-down menu.
In the figure, CD is the perpendicular bisector of AB
Prove: BC AC
13
Complete the proof.
Statements
1. CD is the perpendicular bisector of AB
2. D is the midpoint of AB
3. BD
AD
4. BD=AD
5. CD = CD
6. ZADC and BDC are right angles
7. AADC and ABDC right triangles
(AD)² + (CD)³
=
8.
(BD)2 + (CD)
=
(AC)2
(BC)2
9. (BD) + (CD) = (AC)²
10. (BC)=(AC)
11. BC AC
Reasons
1. given
2.?
3. definition of a midpoint.
4. definition of congruence
5.?
6. definition of a perpendicular bisector
7. definition of a right triangle
8. Pythagorean theorem
9. substitution property of equality
10. substitution property of equality
11.?