You are watching: How many pairs of parallel lines does a triangle have
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.
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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 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.
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 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.
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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. Each side is parallel to the side that is opposite to it.