Question

Will give Brainliest! 10 points!
Provide reasons for the statements of this proof.

Answer 1

Answer:

See Below.

Step-by-step explanation:

Statements:                                                  Reasons:

$\displaystyle 1)\, AD\perp BC\text{ and } D\text{ is the midpoint of } BC$   Given

$\displaystyle 2)\, BD\cong CD$                                                  Definition of Midpoint

$\displaystyle 3)\, m\angle ADB=90^\circ \text{ and } m\angle ADC=90^\circ$          Definition of Perp. Lines

$\displaystyle 4)\, m\angle ADB=m\angle ADC$                                 Substitution

$\displaystyle 5) \angle ADB\cong \angle ADC$                                       Definition of Congruence

$\displaystyle 6)\, AD\cong AD$                                                  Reflexive Property

$\displaystyle 7)\Delta BDA\cong\Delta CDA$                                       SAS Congruence