Question

20Complete the proof.BFGiven: BAI ACDC I ACProve: ABFA ACFDStatementsReasons1. Given1. Given: BA I ACDC I AC2. BA|| DC2. If two lines are perpendicular to a third line,then the two lines are parallel.3. r11I-3. If two parallel lines are cut by a transversal,alternate interior angles are congruent.1- 4= nܘܢܩܫܙܩܬ .414. ABFA-ACED1:: ZDFC ~ ZBFA; ZDAB ~ ZBCD:: ZCBA ZADC; ZBAD ZDCB:: Angle-Angle (AA) postulate:: Side-Angle-Side (SAS) postulate):: ZCDA ~ ZBAD; ZCBA ~ ZBCD

Answer 1

3.- If two parallel lines are cut by a transversal, alternate interior angles are congruent. Therefore:

$\measuredangle CBA\cong\measuredangle ADC;\text{ }\measuredangle BAD\cong\measuredangle\text{DCB}$

4.-Angle-Angle Postulate states that two triangles are similar if they have two congruent angles.