proportional segments 20 videos


Area of a Segment
Geometry Area
How to derive the area of a segment formula.
segment sector triangle area radius central angle shaded area 
Duplicating a Line Segment
Geometry Constructions
How to duplicate a line segment using a compass and straightedge.
congruent segments construction compass straightedge 
Proportional Segments Between Parallel Lines
Geometry Similarity
How to prove two triangles are similar using a line parallel to a base.
parallel lines triangles similar triangles proportion 
Tangent Segments to a Circle
Geometry Circles
How to find the length of tangent segments drawn to a circle from the same point.
tangent congruent segments inscribed circle 
Line Segments
Geometry Geometry Building Blocks
How to define and label a line segment.
line endpoint points 
Midpoints and Congruent Segments
Geometry Geometry Building Blocks
How to identify, define and label a midpoint.
congruent segments bisect 
Constructing the Centroid
Geometry Constructions
How to identify the centroid and the way it divides each of the medians.
point of concurrency center of mass center of gravity centroid proportional segments construct 
Constructing a Median
Geometry Constructions
How to define a median in a triangle.
midpoint vertex segment median 
Constructing a Triangle Midsegment
Geometry Constructions
How to define a midsegment in a triangle.
midpoint segment median 
Distance Formula
Geometry Pythagorean Theorem
How to derive the equation for the distance between two points using the Pythagorean Theorem.
distance coordinate plane ordered pair segment 
Similarity Shortcuts
Geometry Similarity
How to determine if two triangles are similar using a shortcut.
similar triangles AA SAS SSS proportion congruence 
Corresponding Parts of Similar Triangles
Geometry Similarity
How to relate corresponding altitudes, medians and angle bisectors in similar triangles.
similar triangles altitude median angle bisector proportional 
Angle Bisectors and Opposite Side Ratios
Geometry Similarity
How to relate the sides of an angle bisected and the lengths of the opposite side.
angle bisector opposite side ratio proportion 
Special Isosceles Triangle Properties
Geometry Triangles
How to identify a segment from the vertex angle in an isosceles triangle to the opposite side.
isosceles triangle angle bisector altitude median 
Constructing Altitudes
Geometry Constructions
How to define an altitude and draw them on acute, right, and obtuse triangles.
altitudes perpendicular segment vertex opposite side obtuse acute right triangles 
Secants
Geometry Circles
How to define a secant; how to find the length of various secants in circles.
secant intercepted arcs proportion arc measure tangent chord 
Properties of Similar Polygons
Geometry Similarity
How to identify if two figures are similar.
similar figures corresponding angles congruence corresponding sides proportional 
Calculating the Midpoint
Geometry Geometry Building Blocks
How to find the midpoint of a segment with endpoints in rectangular coordinates, How to write the midpoint formula.
endpoint coordinate plane