Drag the tiles to the correct boxes to complete the pairs.
The figure shows AABC with m ABC = 90°.
The first 10 steps to prove that AB + BC2 = AC are given in the table. Match the remaining steps to their correct sequence in the proof.
Statement
Reason
1. Draw BDLAC. construction
2. ABC = 2BDC Angles with the same measure are congruent.
4. BCA2DCB Reflexive Property of Congruence
4. AABC-ABDC AA criterion for similarity
Corresponding sides of similar triangles are proportional.
6.
BC2 = ACⓇ DC
cross multiplication