Question

example 1
show that the polygons are congruent by identifying all the congruent
corresponding parts. then write a congruence statement.
1.
2.
3.
example 2

Explanation:

Step1: Identify congruent sides

In quadrilateral \(ABCD\) and \(CBAD\) (by observing the markings), \(AB = CD\), \(BC = DA\), \(AC=CA\) (common side).

Step2: Identify congruent angles

\(\angle ABC=\angle CDA\), \(\angle BAC=\angle DCA\), \(\angle BCA=\angle DAC\) (by the markings and properties of congruent triangles formed by the diagonal \(AC\)).

Since all corresponding sides and angles are congruent, the polygons are congruent.

Answer:

The congruence statement is \(ABCD\cong CDAB\) (the order of vertices matters based on correspondence of sides and angles).