MICRO LESSON 1
Why Construction?
Picture it:
Drawing by eye is approximate; construction is exact.
Simple:
Geometric construction uses ruler and compass.
Example:
Create equal arcs without measuring.
Quick Check:
Why not rely only on a protractor?
MICRO LESSON 2
Perpendicular Bisector
Picture it:
We can find the exact midpoint and perpendicular line.
Simple:
Equal-radius arcs from endpoints intersect above and below.
Example:
Join arc intersections.
Quick Check:
What does it bisect?
MICRO LESSON 3
Angle Bisector
Picture it:
An angle can be divided into two equal angles.
Simple:
Use an arc from vertex, then equal arcs from its intersection points.
Example:
Join vertex to arc crossing.
Quick Check:
What becomes equal?
MICRO LESSON 4
Constructing 60°
Picture it:
An equilateral triangle creates 60° angles.
Simple:
Use equal radius arcs.
Example:
Three equal sides.
Quick Check:
Why 60°?
MICRO LESSON 5
Constructing 90° and 45°
Picture it:
A perpendicular creates 90°, then bisect for 45°.
Simple:
Combine known constructions.
Example:
90° ÷ 2 = 45°.
Quick Check:
How is 45° made?
MICRO LESSON 6
Triangle with Given Sides
Picture it:
SSS data fixes a triangle.
Simple:
Draw one side, then arcs with other side lengths.
Example:
Arc intersection gives third vertex.
Quick Check:
What if arcs do not meet?
MICRO LESSON 7
Triangle with Base, Angle and Sides
Picture it:
SAS or ASA data guides construction.
Simple:
Draw known base, construct angle, mark length.
Example:
Follow given order.
Quick Check:
Why is order important?