G (1. Complete the paragraph proof.
Given: LE bisects L and LE I GU
Prove: ALEG & ALEU
L
E
U
LE bisects L is given. ZGLE is congruent to LULE by the definition of an
LE is congruent to LE by the
property of congruence. LE is perpendicular to GU
is given, so ZGEL and ZUEL are right angles by the
Therefore,
are
ZGEL is congruent to LLEU because
congruent.
SO, ALEG ALEU by