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Triangle Side-Splitting Theorem: Geometry—Dilations and Scale Factors

Submitted by Anonymous on
Item number
75141
Description
In this video we'll learn how to use the triangle side-splitting theorem to find the lengths of the sides of a triangle. The theorem tells us that, when we place a line segment inside a triangle which has its endpoints on opposite sides of the triangle and which is parallel to the side it doesn't touch, then we can set up a proportion between the lengths of the sides of the smaller triangle and the lengths of the sides of the bigger triangle.

Triangle Similarity Statements: Geometry—Dilations and Scale Factors

Submitted by Anonymous on
Item number
75140
Description
In this video we'll learn how to use the SSS (side-side-side), SAS (side-angle-side), and AA (angle-angle) theorems to prove that two triangles are similar. Similar triangles are triangles that have three congruent interior angle measures. They may have different side lengths, or they may be rotated or flipped, but their three interior angles are the same.

Similar Triangles: Geometry—Dilations and Scale Factors

Submitted by Anonymous on
Item number
75139
Description
In this video we'll learn how to solve for unknown values in two similar triangles. Similar triangles are triangles that have the same three interior angles, but different side lengths. If two triangles have the same three interior angles, then we can set up a proportion between their side lengths.

MidPoint of a Line Segment in Three Dimensions: Geometry—Shapes in Space

Submitted by Anonymous on
Item number
75138
Description
In this video we'll learn how to find the midpoint of a line segment that's lying in three dimensions. The endpoints of the line segment will be given as coordinate points in three-dimensional space, and we'll take the average of the x-values, the average of the y-values, and the average of the z-values in order to find the coordinate point that represents the midpoint of the line segment.

Distance Between Two Points in Three Dimensions: Geometry—Shapes in Space

Submitted by Anonymous on
Item number
75137
Description
In this video we'll learn how to find the distance between two points in three-dimensional coordinate space. If we're given both points in the form (x,y,z), we'll use the distance formula for three dimensions (three variables) to find the distance between the points.