How to Construct a 45 Degree Angle with a Compass

Описание: In this video, we are going to go over how to construct a 45-degree angle with a compass
• First by constructing a 90º angle
• Then bisecting our angle to create a 45-degree angle

How to Construct a Square a 45º Angle with a Compass:
Step 1: Using a straightedge, draw a straight line, labeling each point A and B.
Step 2: Using a compass, place the point of the compass on the edge of point A and draw a circle.
Step 3: Keeping the same length of the compass, take the point of the compass to the point where the circle and original line intersect, and make a new arc on our circle.
Step 4: Keeping that same length of the compass, go to the intersection we just made and mark another arc along our circle.
Step 5: Now, take a new length of the compass (any will do), and bring it to one of the intersections we made on our circle. Then create a new arc above the circle.
Step 6: Keep the same length of the compass and bring it to the other intersection we made on our circle. Then create a new arc above the circle.
Step 7: Where these two lines intersect, mark a point and using a straight edge, connect it to point A, forming a 90º angle.
Step 8: Now to bisect our newly made 90º angle, we are going to focus on the pink hi-lighted points where the original circle intersects with line AB and our newly made line.
Step 9: Using a compass (any length), take the compass point to one of these hi-lighted points and make an arc.
Step 10: Keeping that same length of the compass, go to the other hi-lighted point and make another arc.
Step 11: Now with a straight edge, draw a line from point A to the new intersection of arcs we just made.
Step 12: Notice we split or 90º angle in half and now have two equal 45º angles!

In this video:
Intro 0:00
Construct a 90º Angle 0:15
Construct a 45º Angle 1:32

Practice Questions: https://mathsux.org/2021/04/28/how-to...

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