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Draw a parallelagram this has the opposite sides parallel and no right angles
The lines are parallel. When a transversal intersects two lines, corresponding angles, alternate interior angles, and alternate exterior angles are congruent only if the lines are parallel. This is a fundamental property of parallel lines and transversals in geometry.
Draw four perpendicular lines that cross each other. Like this: # except at right angles. Count the angles - 4 in the centre square, and 12 around the overlapping parts.
The figure, as described, is impossible. If a quadrangle has 2 pairs of parallel sides then the number of right angles can be 0 or 4, but not 2.
Perpendicular lines meet each other at right angles as for example the plus sign +