# Geometry Construction Videos

These videos go through the 22 constructions covered in MATH 302. There are also some additional examples showing applications of the constructions.

Here is a link to a playlist containing all videos, or they can be accessed individually below.

Overview of Construction Tools

**Constructions 1-4: Constructing and bisecting angles and line segments**

Construction 1 – Construct a line segment congruent to a given segment

Construction 2 – Construct the midpoint of a given segment

Construction 3 – Construct an angle congruent to a given angle

Construction 4 – Construct an angle bisector for a given angle

Example 1 – Constructing a line segment of a given length

Example 2 – Constructing an angle with a given measure

**Constructions 5-7: Constructing perpendicular and parallel lines**

Construction 5 – Construct a line perpendicular to a given line through a point on the line

Construction 6 – Construct a line perpendicular to a given line through a point not on the line

Construction 7 – Construct a line parallel to a given line

Example 1 – Construct a 45 degree angle

Example 2 – Construct a parallelogram

**Constructions 8-13: Constructing Triangles**

Construction 8 – Construct a triangle given three sides

Construction 9 – Construct an equilateral triangle

Construction 10 – Construct a triangle given two sides and their included angle

Construction 11 – Construct a triangle given two angles and their included side

Construction 12 – Construct a triangle given two angle and a side not included

Construction 13 – Construct a right triangle given its hypotenuse and one leg

Example 1 – Construct a 30-60-90 triangle

Example 2 – Use a right triangle to construct a segment of a given length

**Constructions 14-18: Circle Constructions**

Construction 14: Constructing a circumscribed circle for a triangle

Construction 15: Constructing an inscribed circle for a triangle

Construction 16: Constructing a tangent through a point on a circle

Construction 17: Constructing a tangent through a point not on a circle

Construction 18: Constructing the center of a given circle

Example: Constructing the incenter/circumcenter for a rectangle

**Constructions 19-22: Inscribing Regular Polygons in Circles**

Construction 19: Constructing an inscribed square

Construction 20: Constructing an inscribed octagon

Construction 21: Constructing an inscribed hexagon

Construction 22: Constructing an inscribed equilateral triangle