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

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

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.