How to Construct an Angle of 90 Degrees in Geometry

In geometry, there are a few basic rules that govern the construction of angles. One of these rules is that it is possible to construct an angle of 90 degrees using only a compass and a straight edge. This can be done by following a few simple steps.

Step 1: Begin by placing the point of your compass at any point on the paper. Step 2: Next, use the compass to draw a small circle with that initial point as the center. Step 3: Now, without changing the width of the compass, place the point of the compass on another point along the circle and draw another small circle. Step 4: Repeat step 3 until you have drawn several concentric circles.

Step 5: Once you have drawn several circles, find two points where two of the circles intersect. Step 6: Place the point of your compass at one of those intersection points and draw a line through both intersection points. The line you have just drawn will be your angle bisector.

Step 7: Finally, measure the angle you have just constructed using a protractor. If it measures 90 degrees, then you have succeeded in constructing an angle of 90 degrees!

Constructing an angle of 90 degrees in geometry is a relatively simple process that can be completed using only a compass and a straight edge. By following the steps outlined above, anyone can do it!

FAQ

How do you construct a 90-degree angle?

There are a few different ways to construct a 90-degree angle. One way is to use a compass and draw two arcs that intersect at90 degrees. Another way is to use a ruler and draw a line that is perpendicular to another line. Finally, you can use a protractor to measure an angle and make sure it is 90 degrees.

How do you construct an angle in geometry?

There are a few different ways to construct an angle in geometry. One way is to use a compass and draw two arcs that intersect at the desired angle. Another way is to use a ruler and draw a line that is perpendicular to another line at the desired angle. Finally, you can use a protractor to measure an angle and make sure it is the desired angle.

How do you draw a 90-degree angle without a protractor?

There are a few different ways to draw a 90-degree angle without a protractor. One way is to use a compass and draw two arcs that intersect at 90 degrees. Another way is to use a ruler and draw a line that is perpendicular to another line. Finally, you can mark off equal distances on a line and connect the marks to create a 90-degree angle.