Question

Given DE is parallel to segment AB prove triangle ABC~ two column proofs DUE TODAY!

Answer 1

ΔABC ~ ΔDEC, Angle Angle (AA postulate) rule of congruency

Explanation:

Statements, Reason

`\overline{DE}\left | \right |\overline{AB}`, Given

∠CDE ≅ ∠CAB, Alternate interior angles

∠CED ≅ ∠CBA, Alternate interior angles

ΔABC ~ ΔDEC, Angle Angle (AA postulate) rule of congruency

`\overline{DE}\left | \right |\overline{AB}`, Given

∠CDE ≅ ∠CAB, Alternate interior angles

∠C ≅ ∠C, Reflexive property

ΔABC ~ ΔDEC, Angle Angle (AA postulate) rule of congruency.