![]() Or this regular octagon shows that you could have four pairs of parallel sides:Įvery regular polygon with an even number of sides will have pairs of parallel sides. Or the polygon could have two pairs of parallel sides, two pairs of opposite sides that are always the same distance apart, like this square and rectangle: Polygons with parallel sides could have one pair of parallel sides, like this isosceles trapezoid: For a given line, only one line passing through a point not on that line will be parallel to it, like this:Įven when we take these two lines out as far to the left and right as we can (to infinity!), they will always be the same distance apart. This article explains some of those relationships.Parallel sides, lines, line segments, and rays are two lines that are always the same distance apart and never meet. To do that, they need to see the RELATIONSHIP between the different quantities in the problem. Students often have problems setting up an equation for a word problem in algebra. How to set up algebraic equations to match word problems.The do's and don'ts of teaching problem solving in mathĪdvice on how you can teach problem solving in elementary, middle, and high school math.Hint: it has to do with a "recipe" that many math lessons follow. Why are math word problems SO difficult for children?.Four habits of highly effective math teaching.How to calculate a percentage of a number.Multiply and divide decimals by 10, 100, and 1000.Dividing fractions: fitting the divisor.Adding unlike fractions 2: Finding the common denominator.Multiplication Algorithm - Two-Digit Multiplier.Structured drill for multiplication tables.Multiplication concept as repeated addition.Add a 2-digit number and a single-digit number mentally.Fact families & basic addition/subtraction facts.Using a 100-bead abacus in elementary math.This lesson is taken from Maria Miller's book Math Mammoth Geometry 1, and posted at with permission from the author. ![]() These shorthand notations: ∥ for parallel and ⊥įor example, l ∥ m means l is parallel to m, and Starting line that go through those points.įind rays, lines, and line segments that are either parallel or perpendicular to Hint: first draw a line, longer than 5 cm. If the line is not long enough, you can continue it using a normal You can carefully slide the ruler up or downĭoing that means the drawing may not be totally accurate, Method 1: A ruler.īottom side of the ruler with an existing (Hint: Start by drawing two lines that are perpendicular.)ī. Ruler to make sure the lines you draw are perpendicular toĦ. Complete these drawings so you get: a) a rectangle ī) a square. ![]() Draw a line that is perpendicular to the given line and goes throughĥ. Draw perpendicular lines through these points.Ĥ. Next you will need a protractor orĪlign the dot and the straight side of your protractor.Īlso align your existing line and the 90° mark on the protractor.Īlign the inside edge with the given line.ģ. How to draw a line that is perpendicular to a given lineįirst, draw a point on the given line. Lastly, I draw a rectangle with given side lengths, using a protractor to make right angles, and a regular ruler to measure the sides. I also show how to draw a line perpendicular to a given line through a point on the line, or through a point not on the line. In the video below, I show you how to a right angle (or a perpendicular line to a given line) using either a protractor or a triangular ruler. How to draw a right angle (perpendicular line) and a rectangle Which line segments in these figures are parallel? Which are perpendicular? a.Īre _. Parallel? Continue the lines with your ruler.Ģ. What about these lines? Do they intersect or are they We say two lines or line segments are perpendicular if they form a right angleġ. Much you would continue them to both directions. Think of the parallel lines as never meeting each other, no matter how Two lines or line segments can either intersect (cross) each other or be The lesson also includes a video where I show how to draw a perpendicular line and a rectangle using a protractor or a triangular ruler. This lesson explains what are parallel and perpendicular lines and has varied exercises for the students.
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