ABCD is a rhombus. Explain why ABC=CDA
In order to prove that ABC = CDA, we need to show that angle ABC is equal to angle CDA.
Since ABCD is a rhombus, we know that opposite sides are parallel and equal in length. This means that side AB is parallel and equal in length to side CD. Additionally, side BC is parallel and equal in length to side AD.
Since AB is parallel to CD, we can conclude that angle ABC and angle CDA are corresponding angles. Corresponding angles are equal when two parallel lines are intersected by a transversal line.
Therefore, angle ABC is equal to angle CDA, and we can state that ABC = CDA in the given rhombus ABCD.