Answer:
Explanation:
Proof statement/reason:
1. ΔABC≅ΔBAD / given
2. AC≅BD/ corresponding sides of congruent triangles are congruent
(SIDE)
3. BC≅DA/ corresponding sides of congruent triangles are congruent
(SIDE)
4. ∡DBA≅∡BAC/corresponding angles of congruent Δs are congruent
5. ∡ABC≅∡BAD/corresponding angles of congruent Δs are congruent
6. ∡DAB+∡BAC=∡CBA+∡ABD/ the sums or measurements of adjacent congruent angles are equal
7. ∡DAC≅∡CBD/ angles that have equal measure are congruent (ANGLE)
8. ΔCBD≅ΔDAC/ SIDE ANGLE SIDE Theorem of Congruency