Answer:
See below.
Step-by-step explanation:
See image for labels (labels are in blue).
Statements: Reasons:
1) [tex]T\text{ is the midpoint of } \overline{ZC}[/tex] Given
2) [tex]\overline{GT}\perp\overline{ZC}[/tex] Given
3) [tex]\angle GTZ\text{ and } \angle GTC\text{ are right angles}[/tex] Def. of Perpendicular Lines
4) [tex]\overline{ZT}\cong\overline{TC}[/tex] Def. of Midpoint
5) [tex]\angle GTZ\cong\angle GTC[/tex] Right Angles Are Congruent
6) [tex]\overline{TG}\cong\overline{TG}[/tex] Reflexive Property
7) [tex]\Delta TGZ\cong\Delta TGC[/tex] SAS Congruence
And we're done!
