Write a paragraph proof.
Given: A is congruent to B. B is congruent to C. and D is perpendicular to C.
Prove: A is perpendicular to D
What is your paragraph proof?
To prove that A is perpendicular to D, we can use the transitive property of congruence and the definition of perpendicular lines.
Given: A is congruent to B, B is congruent to C, and D is perpendicular to C.
1. A is congruent to B (Given)
2. B is congruent to C (Given)
3. A is congruent to C (Transitive property of congruence)
4. C is perpendicular to D (Given)
5. A is perpendicular to D (Definition of perpendicular lines, using the fact that A is congruent to C)
Thus, we have proved that A is perpendicular to D using the given information and the properties of congruence and perpendicular lines.