What Is a Parallelogram?

Sep 30, · Some shapes that have parallel sides include the parallelogram, the rectangle, the square, the trapezoid, the hexagon, and the octagon. A trapezoid has one pair of parallel sides. Learning Outcomes. One other shape has parallel sides: the parallelogram. The parallelogram is a special type of quadrilateral. It is named for its property of having two pairs of parallel sides (left and right, top and bottom) but no other limitation. Another interesting shape is the trapezium. It is an irregular quadrilateral with no parallel sides. Next Lesson.

Parallel sides, lines, line segments, and rays are two lines that are always the same distance apart and never meet. For a given line, only one line passing through a point not on that line will be parallel to it, like this:.

Even when go take these two lines out as far to the left and right as we can to infinity! That means they are parallel. Polygons with parallel sides could have one pair of parallel sideslike sixes isosceles trapezoid:. Or the polygon could have two pairs of parallel sidestwo pairs of opposite sides that are always the same distance apart, like this square and rectangle:. Ks regular whay with an even number of how to stop door to door salespeople will have pairs of parallel sides.

The regular polygon will shapr half as many pairs of parallel sides as it has sides because two sides make a pair.

That is an interesting property of regular polygons, and sidees parallel sides. A regular dodecagon 12 sides will have six pairs of parallel sidesbut a regular tridecagon ;arallel sides will have no parallel sides. Parallel sides of a quadrilateral, or any polygon, must be straight sides.

They can be sides of equal length, but they do not have to be. Another property of parallel sides in polygons is that the distance between the two parallel sides will never change, even if we elongate the shape:.

You can indicate parallel sides, even if your shapee is not perfect. You can also write about parallel lines or sides using a symbol. When drawing figures, you indicate pairs of parallel sides by drawing little matching arrowheads on the two parallel opposite sides. If you have, say, a rectangle with two pairs of wgat sides you can use single arrowheads for one pair and double arrowheads for the other:. Many geometricians prefer this symbol because it cannot be confused for an 11 or two letter Ls.

Here we are using the parallel symbol to show that line B A is parallel to line E R :. You can see that if we used to letter l's it would look like "baller," which is no help at shaps unless you got game. Xhape a polygon, you can test for parallel sides by checking the notation the little arrowheadsby measuring between the two questioned lines, or by applying proofs of parallel lines from Euclid.

If you choose to how to cut spiky haircut the distance between two sides, make sure measure along a line perpendicular to the two sides, not at an angle.

Measuring the angled ends of a trapezoid, for example, will not provide definite proof that the two bases top and bottom are parallel, because the two ends could be at different angles. How can we prove lines are parallel? Euclid's rigor is also helpful since you can prove parallel lines using any of these methods:.

We know that many types of quadrilaterals, such as the trapezoids, a rhombus, rectangles, and all the regular polygons except for the trianglehave parallel sides.

One other shape has parallel sides: the parallelogram. The parallelogram is a special type of quadrilateral. It is named for its property of having two pairs of parallel sides left and right, sids and bottom but no other limitation. Another interesting shape is the trapezium. It is an irregular quadrilateral with no parallel sides. What is a Line Graph? Get better grades with tutoring from top-rated professional tutors.

Get help fast. Want to see the math tutors near you? Parallel Definition Parallel sides, lines, line segments, and rays are two lines that are always the same distance apart and never meet. For a given line, only one line passing through a point not on that line will be parallel to it, like this: Even when we take these two lines out as far to the left and right as we can to infinity!

Table Of Contents Parallel Definition Parallel Sides Parallel Lines Symbol Proving Lines are Parallel Parallel Shapes Parallel Sides Polygons with parallel sides could have one pair of parallel sideslike this isosceles trapezoid: Or the polygon could have two pairs of parallel sidestwo pairs of opposite sides that are always the same distance apart, like this square and rectangle: Or iss regular octagon shows that you could have four pairs of parallel sides : Every regular polygon with an even number what does prudente mean in spanish sides will have pairs of parallel sides.

Another property of parallel sides in polygons is that the distance between the two parallel sides will never change, even if we elongate the shape: Parallel Lines Symbol You can indicate whay sides, even if your drawing is not perfect.

Proving Lines are Parallel In a polygon, you can test for parallel sides by checking the notation the little arrowheadsby measuring between the two questioned lines, or by applying proofs of parallel lines from Euclid. Euclid's rigor is also helpful since you can prove psrallel lines using any of these methods: Congruent corresponding angles Congruent alternate interior angles Congruent alternate exterior angles Supplementary interior angles on the same side of a transversal Supplementary exterior angles on the same side of a transversal.

What you learned: After working your way whzt this lesson and video, you should be able to: Recognize parallel shappe Test lines to see if they are parallel Indicate parallel lines in figures using the proper mathematical symbol Draw polygons having parallel sides. Instructor: Malcolm M. Malcolm has a Master's Degree in education and holds four teaching certificates.

He has been a public school teacher for 27 years, including 15 years as a mathematics teacher. Local and online. View Tutors. Geometry Help. Foundations s Geometry. Paarallel online. Ask a question Get Help. View Math Tutors. Popular cities for math tutoring Math Tutors New York. Find a math tutor near parlalel Learn faster with a math tutor. Find a tutor locally or online. Get Started.

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Dec 16, · Parallel sides are two or more sides on a shape that are parallel. We mark a set of parallel sides on a shape with an arrow on each side. We mark further sets of parallel sides with two or more arrows if we have already marked a set with one arrow each. Parallel sides go in exactly the same direction and do not touch. Aug 31, · The two roads that run on the long sides of the park are parallel because they never meet. The two roads that run along the shorter sides of the . Sides of various shapes are parallel to each other. Parallel lines are represented with a pair of vertical lines between the names of the lines, such as PQ ??XY. We can see parallel lines in a zebra crossing, the lines of notebook and in railway tracks around us.

Two parallel lines never cross. Two parallel lines are always the same distance apart from each other. Parallel sides are two or more sides on a shape that are parallel.

We mark a set of parallel sides on a shape with an arrow on each side. We mark further sets of parallel sides with two or more arrows if we have already marked a set with one arrow each. Parallel sides go in exactly the same direction and do not touch.

Parallel sides are always the same distance apart. Parallel sides are sides that do not cross. To check if sides are parallel, extend the sides with a ruler to see if they cross.

If the sides cross, they are not parallel. We have one pair of parallel sides marked with a single red arrow. We have a second pair of parallel sides marked with two green arrows. This shape is a parallelogram. Parallelograms are shapes that have two pairs of parallel sides. Supporting Lessons Naming 2D Shapes. Example Video Questions Lesson.

Parallel lines go in exactly the same direction. Download PDF. What are Parallel Lines? Parallel lines are lines that do not cross. Parallel lines go in the same direction and remain the same distance apart. Therefore parallel lines do not cross. Parallel lines can be thought of as being like the two rails on train tracks. They always remain the same distance apart and head in the same direction. Parallel sides on shapes will almost always be straight sides, however it is possible to have curved parallel lines.

How do you Show Parallel Lines on a Shape? Some shapes will have sides that go in exactly the same direction and are therefore parallel.

The symbol for parallel lines is an arrow. An arrow is drawn on every side that is parallel to another. It does not matter which direction each arrow faces as long as it is in the same direction as the arrow on the side that it is parallel to.

Usually one arrow is drawn on each side that is parallel. However if the shape has another set of parallel sides, then two arrows are drawn on these sides. If there is another set of parallel sides, then three arrows would be drawn etc. For example, the square below has two pairs of parallel sides.

The first pair of parallel sides shown are the two horizontal sides. Horizontal sides go from left to right, in the same direction as the horizon. We mark this first pair of parallel sides with a single arrow. The second pair of parallel sides on this square are the two vertical sides. Vertical sides go from down to up. We mark this next set of parallel sides with two arrows. The sides with one arrow on are parallel to each other and the sides with two arrows on are parallel to each other.

The sides with one arrow on are not parallel to the sides with two arrows on. How to Find Parallel Lines on a Shape To find parallel lines on a shape, extend each side of the shape with a ruler. If the lines cross, then the lines are not parallel. The lines are parallel if they do not cross. Alternatively, a ruler can be placed in line with one of the sides. When moved to another side without rotation, the ruler will be in line with any other parallel sides. Horizontal and vertical lines are the easiest parallel lines to spot.

These sides will be parallel to the edges of any paper or screens that they are displayed on. It is also helpful to be aware of common shapes that do and do not have parallel lines.

We saw above that a square has two pairs of parallel sides. A square is a special type of rectangle which has all sides the same length. Below is a rectangle. A rectangle has two pairs of parallel sides. One pair of parallel sides is horizontal and the other pair of parallel sides are vertical.

We label the first set of parallel sides with one arrow and the second pair of parallel sides with two arrows. Below is a isosceles trapezium. Isosceles trapeziums are symmetric. We can look for parallel sides by extending the sides with a ruler. Remember to look for horizontal and vertical sides. We can see that there is a pair of parallel sides that both go horizontally from left to right. We can extend the other two sides to check if they are parallel. We can see that these other two sides cross.

Parallel lines do not cross and therefore, these two sides are not parallel. Here is a different trapezium. We first check any horizontal and vertical sides to see if they are parallel. We have a pair of vertical lines going from down to up. Because they are both vertical, they are both parallel. We mark these parallel lines with an arrow. We can see that the other two sides cross when extended and so, they are not parallel sides. A trapezoid always has one pair of parallel sides.

The shape below is called a parallelogram. It has the word parallel in its name. We can see that it has two horizontal sides, which are parallel. It also has another pair of parallel sides, which we mark with two arrows. A parallelogram has two pairs of parallel sides. Each side is always parallel to the side that is opposite to it.

A parallelogram is any four-sided shape that contains two pairs of parallel sides, where each side is parallel to the one opposite. Therefore a rectangle, square and rhombus are all special kinds of parallelogram. Many shapes do not have any parallel sides. The shape in the example below is a regular pentagon, which has 5 sides that are all of the same length. To check if there are any parallel lines on the sides of this shape, we can extend them with a ruler. If two lines cross then they are not parallel and they are parallel if they do not cross.

We can see that no matter which two sides we take, extending the lines will always result in the lines crossing. No sides of this shape are parallel. Regular pentagons do not have any parallel sides.

Triangles are shapes that have no parallel sides. All triangles will have three sides and it is impossible for any of them to be parallel. If two lines out of three were parallel, it would be impossible to draw the shape. You can start by drawing any two parallel lines and then trying to complete the shape. It is impossible to do by only using three sides in total. All types of triangle, such as equilateral triangle, isosceles triangle and scalene triangle, have no parallel lines..

A kite is another shape that does not have parallel sides. Some shapes have many parallel sides. For example, a regular hexagon has three pairs of parallel sides. Each side is parallel to the side that is opposite to it.

A regular octagon is a shape that has 4 pairs of parallel sides. Now try our lesson on Sorting 2D Shapes where we learn how to sort shapes by their properties. Sorting 2D Shapes.