A designer makes a book cover where the top and bottom edges are slanted in opposite directions. This gives the cover the shape of a parallelogram, which looks neat and stays stable because opposite sides are parallel.
Based on the given information solve the following questions:
1. Even with slanted edges, the book cover does not tilt or collapse. Which geometric property explains this stability?
2.The designer draws a longer line in the direction of the slanted top edge. Which edge of the book cover will lie parallel to this extended line?
3.While checking the design, the designer notices that the two diagonals cross each other. what can the designer be sure about?
4. The designer measure one interior angle of the cover and finds it to be \(70^\circ\). What will be the angle next to it?