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Korvikt [17]
3 years ago
10

Oblems

Mathematics
1 answer:
nalin [4]3 years ago
3 0

Answer:

\overline{BC} \cong  \overline{DC} because corresponding parts of congruent triangles ΔACD and ΔACB are Congruent

Step-by-step explanation:

Statements,                                                Reason

\overline{AC} bisects ∠BCD,                                      Given        

\overline{DC} \perp  \overline{AD}                                                    Given

∠CDA ≅ ∠CBA                                           Right angles are ≅

\overline{AC} \cong  \overline{AC}                                                     Reflexive property

ΔACD ≅ ΔACB                                           Hypotenuse Leg (HL) congrurency

\overline{BC} \cong  \overline{DC}                                                    CPCTC

Where:

CPCTC = Corresponding parts of Congruent Triangles are Congruent

⊥ = Perpendicular to

≅ = Congruent

∠ = Angle

Δ = Triangle.

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