Prove: is tangent to circle C. Statements
Reasons
1. Circle C is constructed so that CD = DE = AD;
is a radius of circle C.
1. Given
2.
2. Definition of congruence
3. ACD is an isosceles triangle;
ADE is an isosceles triangle.
3.
4. ;
4.
5.
5. Isosceles triangle theorem
6. ;
6. Definition of congruence
7. ;
7. Substitution property
8. ;
8. Addition
9. ;

9.
10. and are a linear pair.
10.
11.
11. Linear pair postulate
12.
12. Definition of supplementary angles
13. 1
13. Substitution property
14.
14. Addition
15.
15. Subtraction property
16.
16.
17.
17. Angle addition postulate
18.
18. Substitution property
19. is a right angle.
19. Definition of right angle
20.
20. Definition of perpendicular
21. is tangent to circle C.
21.
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