Question

oblems
Congruency Pront
Name: Jarol
Comments
Statements
AC bisects BCD
Reasons
Given
Given
DCIAD
Given
BC AB
Given:
AC bisects BCD
DC I AD
BC AB
Right angles are =
Prove:
AC AC
BC DC
Bc z oo

Answer 1

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.