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