Basic Geometric Constructions

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Presentation transcript:

Basic Geometric Constructions

Construction #1 Use a straightedge to draw a line. Construct a segment congruent to a given segment. Given: A B Use a straightedge to draw a line. Construct: A1 B1 = AB A1 Now label the point A1 somewhere on the new line.

Construction #1 Construct a segment congruent to a given segment. Set your compass for radius AB and make a mark on the line where B lies. Given: A B Construct: A1 B1 = AB l A1 A1 B1 Then, move your compass to line and set your pointer on A1. Make a mark on the line and label it B1.

Construction #2 Use a straightedge to draw a ray. Now make an arc. Construct a angle congruent to a given angle. Use a straightedge to draw a ray. Now make an arc. Make the same arc on the ray.

Connect the endpoint and the intersection Construction #2 Construct a angle congruent to a given angle. Make another arc Repeat the arc. Connect the endpoint and the intersection