Ram loves solving geometric puzzles. He recently bought a new puzzle set in which every piece is shaped like a rhombus. Each piece has diagonals of \(12 cm\) and \(20 cm\).
While assemblong the puzzle, he notices that the piece fit together neatly without gaps. Curious about the mathematics behind the shape, he begins to analyze rhombus pieces.
Based on the given information solve the following questions
1. What property of a rhombus helps Ram understand why all puzzles pieces fit perfectly?
2.While measuring, he finds one angle of the rhombus piece to be \(85^\circ\). What will be the measure of the angle next to it?
3. When Ram fols the rhombus along a diagonal, the triangles formed each contain a right angle. What must be true about the diagonals of the rhombus?
4. Ram places two rhombus puzzle pieces next to each other so that one side of each lies along the same straight line and angles look equal. Which property helps him understand this?