Triangle Flow Chart Reasons Congruence Statements

$$\overline{UT}$$  because given by marks

not congruent to anything

$$\overline{UT}$$  because reflexive/shared side

$$\overline{VT}$$  

$$\overline{UV}$$  

$$\overline{UT}$$  

$$\overline{RS}$$  

no other congruent parts

$$\angle SVR\cong\angle TVU$$  ; vertical angles

$$\overline{RV}\cong\overline{UV}$$  ; Shared side/reflexive

vertical angles

not congruent

given by marks

$$\overline{BC}\cong\overline{DC}$$

$$\angle BAC\cong\angle DAC$$  

$$\angle B\cong\angle D$$

$$\overline{AB}\cong\overline{AD}$$

they are not congruent

given

shared side/reflexive

$$\overline{ME}\cong\overline{RE}$$

$$\overline{TM}\cong\overline{PR}$$

$$\angle T\cong\angle P$$

False. They are not congruent

shared side/reflexive

vertical angles

given by mark

$$\overline{AC}$$ is NOT congruent to $$\overline{BD}$$

$$\overline{AF}\cong\overline{BF}$$ ; Shared side

$$\overline{AC}\cong\overline{BD}$$ ; given by mark

$$\overline{AC}\cong\overline{DB}$$ ; given by mark

$$\overline{CF}\cong\overline{DF}$$  ; shared side

$$\overline{CF}\cong\overline{DF}$$  ; given by marks

$$\angle AFC\cong\angle BFD$$  ; vertical angles

$$\overline{CA}\cong\overline{DB}$$  ; given by marks