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Geometry Basics | MathHelp.com
By MathHelp.com
This lesson covers permutations. Students learn that a permutation is an arrangement of objects in which the order is important. For example, the permutation AB is different than the permutation BA. Students are then asked to solve word problems involving permutations. For example: Find the number of different ways 6 books can be arranged on a shelf. Note that the number of permutations can be found by multiplying the number of choices for the 1st position (6 books) times the number of choices for the second position (5 books), and so on. So the number of permutations is 6 x 5 x 4 x 3 x 2 x 1, or 720. In other words, there are 720 different ways 6 books can be arranged on a shelf.
Find the rotation that maps one figure to another
By Khan Academy
Sal is given two pairs of line segments and a center of a dilation. He finds the angle for the rotation that maps one pair of segments to another.
Find the rotation that maps one figure to another
By Khan Academy
Sal is given two pairs of line segments and a center of a dilation. He finds the angle for the rotation that maps one pair of segments to another.
Defining similarity through angle-preserving transformations
By Khan Academy
Sal is given pairs of polygons, and then he determines whether they are similar by trying to map one onto the other using angle-preserving transformations.
Defining similarity through angle-preserving transformations
By Khan Academy
Sal is given pairs of polygons, and then he determines whether they are similar by trying to map one onto the other using angle-preserving transformations.
Exploring angle-preserving transformations and similarity
By Khan Academy
Sal is given pairs of polygons, and then he determines whether they are similar by trying to map one onto the other using angle-preserving transformations.
Defining similarity through angle-preserving transformations
By Khan Academy
Sal is given pairs of polygons, and then he determines whether they are similar by trying to map one onto the other using angle-preserving transformations.
Similar triangles 1
By Khan Academy
Sal reviews all the different ways we can determine that two triangles are similar. This is similar to the congruence criteria, only for similarity!
Solving problems with similar and congruent triangles
By Khan Academy
Sal uses the similarity of triangles and the congruence of others in this multi-step problem to find the area of a polygon.
Special right triangles
By Khan Academy
Showing the ratios of the sides of a 45-45-90 triangle are 1:1:sqrt(2)
Special right triangles
By Khan Academy
A few more 45-45-90 examples and an introduction to 30-60-90 triangles.
Special right triangles
By Khan Academy
Using what we know about 30-60-90 triangles to solve what at first seems to be a challenging problem
Solving similar triangles 1
By Khan Academy
Sal solves two problems where a missing side length is found by proving that triangles are similar and using this to find the measure.
Find missing angles of triangles
By Khan Academy
Sal combines what we know about isosceles triangles and parallel lines with the power of algebra to solve the angles of an isosceles triangle.