alternate interior angles 52 videos

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 
Constructing an Angle Bisector
Geometry Constructions
How to define and construct an angle bisector.
construction perpendicular equidistant shortest distance to a line bisector 
Central Angles and Intercepted Arcs
Geometry Circles
How to define a central angle and find the measure of its intercepted arc; how to describe the intercepted arcs of congruent chords.
chord central angle intercepted arc arc measure congruent chords side side side shortcut 
Isosceles Triangles
Geometry Triangles
How to define isosceles triangles, their components and how to determine their properties.
vertex angle leg base base angle converse remote interior angles 
Using a Protractor
Geometry Geometry Building Blocks
How to use a protractor to measure an angle.
protractor angle acute obtuse right 
Parallelogram Properties
Geometry Polygons
How to identify all of the special properties of parallelograms and use them to solve problems.
opposite sides parallel opposite angles same side interior angles diagonals bisect consecutive angles rhombus rectangle square 
Trapezoid Arch and Panel Design Problem
Geometry Polygons
How to strategize about solving a problem with trapezoidal arches.
trapezoid arch panel design interior angle equiangular polygon isosceles 
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 
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 
ASA and AAS
Geometry Triangles
How to use the ASA and AAS shortcuts to determine the congruence of two triangles.
triangle congruence angle side angle angle angle side 
Radii to Tangents
Geometry Circles
How to define a tangent line; how to determine the angle a radius to a tangent forms.
tangent radius right angle point outside the circle perpendicular 
Similar Triangles in Circles and Right Triangles
Geometry Similarity
How to determine if two triangles in a circle are similar and how to prove that three similar triangles exist in a right triangle with an altitude.
similar inscribed angles intercepted arc right angle circle 
Constructing the Incenter
Geometry Constructions
How to construct the incenter using a compass and straightedge.
point of concurrency angle bisectors equidistant 
Trapezoid Properties
Geometry Polygons
How to identify a trapezoid and its special properties.
parallel sides isosceles trapezoid base angles base 
Kite Properties
Geometry Polygons
How to identify a kite and its special properties.
kite diagonals consecutive sides vertex angle non vertex angle bisect perpendicular 
Area of Kites and Rhombuses
Geometry Area
How to derive the area formula of a kite based on the rectangle formula; how to calculate the area of a rectangle using diagonal lengths.
kite area diagonals consecutive sides vertex angle non vertex angle bisect perpendicular rhombus 
Types of Triangles
Geometry Geometry Building Blocks
How to classify a triangle based on its side lengths and angle measures.
equiangular equilateral isosceles right acute obtuse triangles 
Equiangular Polygon Sums
Geometry Polygons
How to find the measure of one angle in any equiangular or regular polygon.
equiangular regular congruent triangles sum 
Trigonometric Ratios: Sine
Geometry Basic Trigonometry
How to define the sine ratio and identify the sine of an angle in a right triangle.
trigonometry ratio right triangle sine SOH CAH TOA 
Trigonometric Ratios: Cosine
Geometry Basic Trigonometry
How to define the cosine ratio and identify the cosine of an angle in a right triangle.
trigonometry ratio right triangle sine SOH CAH TOA