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YouTube

Constructions

via YouTube

Overview

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Learn essential geometric constructions in this comprehensive tutorial covering various techniques including creating line segments, angles, perpendiculars, bisectors, and special triangles. Master the construction of circumcenter, incenter, centroid, orthocenter, parallelograms, and rectangles. Practice drawing tangent lines, parallel lines, and dividing line segments. Explore methods for constructing triangles given different sets of information such as SSS, SAS, and ASA.

Syllabus

A Line Segment of a Given Length on a Given Ray.
An Angle of a Given Number of Degrees with a Given Ray as One Arm.
Perpendicular Line Through a Point on the Line.
Bisect an Angle.
Perpendicular Bisector of a Line Segment.
Circumcenter and Circumcircle.
Incenter and Incircle.
Tangent at a Point A on a Circle.
60 Degree Angle.
Parallelogram.
Centroid.
Orthocenter.
Line Segment of Length Square Root 2 Units.
Line Segment of Length Square Root of 3 Units.
Line parallel to a Given Line Through a Point not on the Line.
Dividing a Line Segment into Equal Parts.
A Triangle Given the Dimensions of the Three Sides SSS.
A Triangle Given Two Sides and an Angle Between the Two Sides.
A Triangle Given Two Angles and the Dimension of the Side Between them ASA.
A Right Angled Triangle Given the Hypotenuse and One Other Side.
A Right Angled Triangle Given An Aute Angle and One Side.
A Rectangle Given the Dimensions of the Sides.
A Perpendicular to a Line Through a Point not on the Line.

Taught by

MolloyMaths

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