Put 2 lines on the perpendicular sides and put 1 line for the parallel sides
A pair of parallel lines with a transversal will have the following pairs of angles. Alternate , Corresponding, Allied internal, allied external and Vertically Opposite. Unfortunately I cannot draw a diagram on this site in order to show you the positions of these angle - pairs.
The diagonals divide the quadrilateral into four sections. You can then use the bisection to prove that opposite triangles are congruent (SAS). That can then enable you to show that the alternate angles at the ends of the diagonal are equal and that shows one pair of sides is parallel. Repeat the process with the other pair of triangles to show that the second pair of sides is parallel. A quadrilateral with two pairs of parallel lines is a parallelogram.
Parallel lines have the same slope. So if you have y=x+20 for example, the slope is 1 and any parallel line has slope 1 also. I think your equation is x=y+20 but since the+ and - don't show up i am not sure If it is we can rewrite it as -y=-x+20 or y=x-20 and slope is still 1 so any parallel line has slope 1.
An equilateral triangle has 3 lines of symmetry
Lines going in the same direction. Ex. <-------------------->----------------------> <-------------------->----------------------> The marks in the middle show that the lines are for sure parallel.
If the slope of the lines are the same, it show that the lines are parallel.
Number lines
Put 2 lines on the perpendicular sides and put 1 line for the parallel sides
The simplest way is to construct a square which has two pairs of equal opposite parallel lines
The line that cuts a parallel line is called a TRANSVERSAL. When you have parallel lines and you want to show like corresponding, vertical, ect.... then the line that cut through the parallel lines is a TRANSVERSAL
You can use any of several properties of parallelograms: Show that the lines are parallel, show that opposite pairs of lines have the same length, or show that opposite pairs of angles have the same measure.
correlation
they are the same distice apart
A pair of parallel lines with a transversal will have the following pairs of angles. Alternate , Corresponding, Allied internal, allied external and Vertically Opposite. Unfortunately I cannot draw a diagram on this site in order to show you the positions of these angle - pairs.
I don't think this is possible. there is not a quadrilateral with these qualities. If it is a quadrilateral, it will automatically have parallel lines, but there is not one that has both. The closest one would be the trapezoid, with a set of parallel lines, but no right angle. The square and rectangle have two sets of parallel lines and 4 right angles.
No because the shape would have two right angles because of the parallel lines and the limited number of angles available...just no.