Definition of Vertical angles property of parallelogram CPCTC HP equals HP Triangle PQR congruent to STU Line AD is parallel to Lines BC angle R congruent to angle U Def. of midpoint DC/BC equals DE/BA Lines ZX bisects angle YXW converse on interior angles theorem Reflective property side angle side congruence m<R congruent to m<U Def. of a bisector Triangle DEC similar to BAC arc MAR and arc MKR are semi-circles Definition of isosceles trapezoid Lines DE is congruent to lines EB DAVE is a trapezoid Def. of parallelogram Lines AB is congruent to Lines DC Given side side side congruence Definition of Vertical angles property of parallelogram CPCTC HP equals HP Triangle PQR congruent to STU Line AD is parallel to Lines BC angle R congruent to angle U Def. of midpoint DC/BC equals DE/BA Lines ZX bisects angle YXW converse on interior angles theorem Reflective property side angle side congruence m<R congruent to m<U Def. of a bisector Triangle DEC similar to BAC arc MAR and arc MKR are semi-circles Definition of isosceles trapezoid Lines DE is congruent to lines EB DAVE is a trapezoid Def. of parallelogram Lines AB is congruent to Lines DC Given side side side congruence
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Definition of Vertical angles
property of parallelogram
CPCTC
HP equals HP
Triangle PQR congruent to STU
Line AD is parallel to Lines BC
angle R congruent to angle U
Def. of midpoint
DC/BC equals DE/BA
Lines ZX bisects angle YXW
converse on interior angles theorem
Reflective property
side angle side congruence
m<R congruent to m<U
Def. of a bisector
Triangle DEC similar to BAC
arc MAR and arc MKR are semi-circles
Definition of isosceles trapezoid
Lines DE is congruent to lines EB
DAVE is a trapezoid
Def. of parallelogram
Lines AB is congruent to Lines DC
Given
side side side congruence