Geometry Writing Assignment: Proofs on Congruent Triangles
Each proof is worth 10 points
Total Points: 50
BA = AD & CA = AE → Given
CAD = BAE → Opposite
angles
are equal(=)
CAB = DAE → Opposite
angles
are =.
BC = DE → Their Side, Angle, Side are
≅
Therefore ΔACB
≅
ΔADE → Part of
≅
figure are
≅
.
BCD
≅
EDC & BDC
≅
ECD → Given
CBD = 180 – (BCD + BDC) → Supplementary Angles
DEC = 180 – (ECD + EDC) → Supplementary Angles
CBD
≅
DEC → ITS PART OF
≅
Figures
Therefore ΔBCD
≅
ΔEDC → Their corresponding internal angles & sides are
≅
BDC
≅
BDA → Given
AD = DC → Property of midpoint
Draw BD as perpendicular line → by construction.
BD
≅