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This page shows how to construct (draw) a 45 degree angle with compass and straightedge or ruler. It works by constructing an isosceles right triangle, which has interior angles of 45, 45 and 90 degrees. We use one of those 45 degree angles to get the result we need. See the proof below for more details. Printable step-by-step instructions

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Using a piece of paper to accurately mark a 45 degree angle on a door trim without tools.

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Printable step-by-step instructions for drawing a 45 degree angle with compass and straightedge or ruler. Math Open Reference. Home Contact About Subject Index. Constructing a 45° angle . This is the step-by-step, printable version. If you PRINT this page, any ads will not be printed. See also the animated version. After doing this Your work should look like this; 1. Draw a line segment which ...

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45 Degree Angle. How to construct a 45 Degree Angle using just a compass and a straightedge. Steps: Construct a perpendicular line; Place compass on intersection point; Adjust compass width to reach start point; Draw an arc that intersects perpendicular line; Place ruler on start point and where arc intersects perpendicular line; Draw 45 Degree ...

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A 45-degree angle is half the size of right angle, which is 90 degrees. Working with a ruler and a square or other right angle substitute, you can make the angle without any special tools. The 45-degree angle can be useful for projects like painting diagonals on walls, marking trim, or completing crafts and decoration projects.

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A 45 – 45 – 90 degree triangle (or isosceles right triangle) is a triangle with angles of 45°, 45°, and 90° and sides in the ratio of. Note that it’s the shape of half a square, cut along the square’s diagonal, and that it’s also an isosceles triangle (both legs have the same length). The following figure shows an example of a 45°- 45°- 90° triangle. Try a couple of problems ...

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#### How to figure out a 45-degree angle

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The pattern tells me to cut a strip of fabric 4 3/4" on the 45 degree_ angle. To do this, I make sure my edge is even and straight, and lay it on the 45 degree line. Next you will take your ruler that you cut with, and put the 4 3/4" mark against the edge of the fabric on the 45 degree mark, and cut along the left edge of your ruler. Cut as many strips as the pattern tells you to. Now, you ...

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#### Constructing a 45 Degree Angle - Year 10+ Constructions

However, it is possible to construct a 45 degree angle. No cheating and getting out the protractor or set square! For this construction, you will need a straight edge (ruler - but you won't be measuring anything), pair of compasses, a pencil and paper. No cheating and getting out the protractor or set square! I have drawn the pictures using the robocompass app. It's fun to play with, and you ...

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