Honors Geometry

Proving Triangles CongruentOverlapping Triangles

If the figure involves overlapping triangles, you should determine

what triangles need to be proven congruent. You may find it helpful

to redraw the triangles as two separate triangles.

1. --- --- --- --- --- --- --- --- --- 1. Given

) R N )) SGR SPN )

CPCTC

Perp. of Def. 2. Ang. Rt. are & )2 SGRSPN

RAT 2. )3 SGRSPN

Reflexive 4) )4 SS

AAS )5

1) --- ---- ---- ---- 1) Given

) N R )) WNE IRT )

CPCTC

onSubstituti 4)

Post Add. Seg. 3)

Eq. of Prop. Add. )2EITETE WT)2

TIEITE WE,TE WT)3

TIWE)4

AIAT 6) ETRNET 6)

AIAs of Def. 5) AIAs are ETR & NET )5

SAS )7