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Think of your regular trapezoid (half a hexagon). Now cut it in half with a line perpendicular to the top and bottom. You can see the right angles along one side. The top and bottom lines are parallel. The seond angle on the bottom is acute, and the second top is obtuse. Can't be bothered to provide diagrams, though. Draw them yourself.
Right angles are created by perpendicular lines. You first have to find the slopes of the lines. You know lines are perpendicular when the slopes are negative reciprocals. For example: If you find the slope of Line AB to be -2, in order for the lines to form right angles, the following line would have to be 1/2. So getting back to your question, calculate the slopes and show they are negative reciprocals. Hope I Helped!
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.
No, but a diagram of twoperpendicular lines:|||--------------||Two lines are perpendicular if they meet at 90o.
Perpendicular means "at right angles to". L is an example of two lines that are perpendicular to one another.
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.
By using a protractor which will show that corresponding angles are equal and alternate angles are equal .
Number lines
You would use this: ┴
To prove that a quadrilateral is a right trapezoid, you need to show that it has one pair of parallel sides and one pair of right angles. This can be done by using the properties of parallel lines and perpendicular lines.
When straight lines are perpendicular to each other they create right angles of 90 degrees
The simplest way is to construct a square which has two pairs of equal opposite parallel lines
In analytical geometry (geometry with numbers for coordinates), the easiest method is to show that they have the same slope.You could also prove that the distance between the lines, at different parts, is the same (draw a perpendicular to one of the lines).In analytical geometry (geometry with numbers for coordinates), the easiest method is to show that they have the same slope.You could also prove that the distance between the lines, at different parts, is the same (draw a perpendicular to one of the lines).In analytical geometry (geometry with numbers for coordinates), the easiest method is to show that they have the same slope.You could also prove that the distance between the lines, at different parts, is the same (draw a perpendicular to one of the lines).In analytical geometry (geometry with numbers for coordinates), the easiest method is to show that they have the same slope.You could also prove that the distance between the lines, at different parts, is the same (draw a perpendicular to one of the lines).
Show that corresponding angles are congruent?