Question

Plzzz help me with this ​

Answer 1

Please find attached the required flow chart proof created using Microsoft Visio

Explanation:

The given parameters are;

`\overline {BD}` bisects ∠ADC and ∠ABC

Required to proof that ΔABD ≅ ΔCBD

The two column proof is given as follows;

Statement
`{}` Reason

`\overline {BD}` bisects ∠ADC
`{}` Given

∠ADB ≅ ∠CDB
`{}` Definition of angle bisector

`\overline {BD}` bisects ∠ABC
`{}` Given

∠ABD ≅ ∠CBD
`{}` Definition of angle bisector

`\overline {BD}` ≅
`\overline {BD}`
`{}` Reflexive Property

ΔABD ≅ ΔCDB
`{}` ASA

The Angle-Side-Angle ASA, ASA, congruency postulate, states that if two angles and the included side of one triangle is congruent to two angles and the included side of another triangle, then the two angles are congruent.