SOLUTION: X is the midpoint of line ST. Line RX is perpendicular to line ST. Prove: line RS is congruent to line RT. Line RX is perpendicular to line ST: GIVEN <RXS and <RXT are rt. Ang

Question 1004104: X is the midpoint of line ST. Line RX is perpendicular to line ST.
Prove: line RS is congruent to line RT.
Line RX is perpendicular to line ST: GIVEN
Line RX is congruent to line RX:?
X is the midpoint of line ST:GIVEN
SX is congruent to TX:?
?: SAS
Line RS is congruent to RT
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Drawing:

The stuff in red is the stuff added

Number	Statement	Reason
1.	Line RX is perpendicular to line ST	Given
2.	Line RX is congruent to line RX	Reflexive Property of Congruence
3.	X is the midpoint of line ST	Given
4.	Angle RXS = angle RXT	All perpendicular angles are congruent (and equal to 90 degrees)
5.	SX is congruent to TX	Definition of Midpoint (uses line 3)
6.	Triangle SRX is congruent to triangle TRX	SAS Property of Congruence (uses lines 2,4,5)
7.	Line RS is congruent to RT	CPCTC

Note:
CPCTC = Corresponding Parts of Congruent Triangles are Congruent
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