Statement Reason
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1. Angle ASC is right angle Definition of Altitude (given)
2. Angle ATC is right angle Definition of Altitude (given)
3. Angle ATC = Angle ASC Right Angle Theorem
4. CS = AT Given
5. AC = AC Reflexive Property of Congruence
6. triangle ASC = triangle ATC SAS Postulate
7. AS = CT CPCTC
Notes:
# 1 Remember, an altitude is a segment that runs from one vertex to the opposite side (and forms a 90 degree angle with the opposite side).
# 2 The Right Angle Theorem states that all right angles are congruent.
# 3 CPCTC = Corresponding parts of congruent triangles are congruent.