Sonu 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. Which characteristicm of a rhombus ensures that Sonu's rhombus-shaped puzzle pieces match along every side?
2.While measuring, he finds one angle of the rhombus piece to be \(70^\circ\). What will be the measure of the angle next to it?
3. Sonu folds his rhombus-shaped puzzle piece along one diagonal. He notices the fold creates right at the centre. Which property of a rhombus explains this?
4. Sonu aligns two rhombus pieces such that their parallel sides run in the sane direction. A line passing across them creates two similar-looking angles. Why are these angles equal?