Question

can you prove these shapes are congruent?
yes no

Explanation:

Step1: Check for SSS (Side - Side - Side) or SAS (Side - Angle - Side) congruence

In the first quadrilateral \(MPNO\), let the sides with one mark be \(a\) and the sides with two marks be \(b\). In the second quadrilateral \(VWXY\), the sides with one mark is \(a\) and the sides with two marks is \(b\).
The angles between the sides in \(MPNO\) are \(34^{\circ}\) and \(146^{\circ}\). In \(VWXY\), the angles between the corresponding sides (based on side - mark matching) are also \(34^{\circ}\) and \(146^{\circ}\).
We can use the SAS (Side - Angle - Side) congruence criterion for polygons. If two sides and the included angle of one polygon are equal to two sides and the included angle of another polygon, and this pattern is consistent for all corresponding parts (by checking side - mark and angle - measure correspondences), the polygons are congruent.

Answer:

yes