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 + BC = AC are given in the table. Match the remaining steps to their correct sequence in the proof.
Statement
Reason
1. Draw BDLAC. construction
2. LABC BDC Angles with the same measure are congruent.
4. BCAA LDCB Reflexive Property of Congruence
4. AABC ABDC AA criterion for similarity
5. BCEAC Corresponding sides of similar triangles are proportional.
6. BC2 = ACX DC cross multiplication
7. LABC ZADB Angles with the same measure are congruent.
8. BACADAB Reflexive Property of Congruence
9. AABC AADB AA criterion for similarity
10. ABAS Corresponding sides of similar triangles are proportional.