Rhombus.
If two lines are cut by a transversal to form pairs of congruent corresponding angles, congruent alternate interior angles, or congruent alternate exterior angles, then the lines are parallel.
Three vertical parallel lines: |
Corresponding angle are used to prove if lines are parallel. If they are congruent then the lines cut by the transferal are parallel.
If two parallel lines are intersected by a transversal, then the corresponding angles are congruent. This is the transversal postulate. So the answer is the lines would be parallel. This means that the statement is true.
Then the lines are parallel to each other and the alternate equal angles are created when a transversal line cuts through parallel lines.
paralellogram
Not always because a quadrilateral is any 4 sided shape.
Squares have 4 90 degree angles and 2 sets of parallel lines and 4 congruent sides. A rectangle has the angles and parallel lines. A parallelogram has the parallel lines. A rectangle is most similar, however there are more geometric shapes with some similarities to a square.
O par ell lines and no congruent lines
Parallel lines cut by a transversal form congruent alternate interior angles.
If two lines are cut by a transversal to form pairs of congruent corresponding angles, congruent alternate interior angles, or congruent alternate exterior angles, then the lines are parallel.
If a transversal intersects a pair of lines and the alternate angles are congruent, the lines are parallel.
There are 56 pairs of congruent angles.
They could be: parallel lines, perpendicular lines or intersecting lines
Well a nonagon is a nine sided polygon. If you make the lines or sides parallel, then you will have a parallel figure. Or some parallel lines on a figure (polygon). If you choose to make your polygon (nonagon) have a pair of congruent sides, then your polygon will have some congruent sides. Therefore it really matters what your shape looks like. For example, a quadrilateral can be a square or a kite (or many others but I'm just using these) a kite might have no parallel lines and a square may have 2 sets of parallel lines. Do you get it? Does that answer your question? FYI: A nonagon is also known as a enneagon :)
equilateral triangle
opposite sides are parallel opposite sides congruent opposite angles are equal opposite lines parallel 1 pair opp. lines parallel and congruent