Algebra II Ch 4
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Matrix-a rectangular arrangemant of objects. Dimensions- m x(by) n. Equal Matrices- if and only if they have the same dimensions and their correspoonding elements are equal. Point Matrix- a 2 x 1 marix is called a Point Matrix. | Rotation- a transformation with a center O under which the image O is O itself and the image of any other pointP is the point P' such that m,POP' is a fixed number (its magnitude).
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| Definition-- if two matrices A and B have the same dimensions, their sum A+B is the Matrix in which each element is the sum of the corresponding elemts in A and B. | Theorem-- if two line with slopes m1 and m2 are perpendicualr, then m1m2=- Theorem-- if two lines have slopes m1 and m2 and m1m2=-1, then the lines are perpendicular.
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| Definition-- the product of a scalar k and a matrix kA in which each element is k times the correspoding element in A. | Theorem-- under a translation, a line is parrel to its image.
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| Definition of Matrix Multipication- Suppose A is an m x n matrix and B is a n x p matrix. then the product A*B is the m x p matrix whose element in row i and column j is the product of row i of A and column j of B. |
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| Transformation- is a one to one correspondence of between sets of points. Preimage- Figure I in a transformation. Image- Figure II in a transformation. |
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| Line of Reflection/Reflecting Line- the line over which a figure is reflected. |
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| Definition-- suppose transformation T1 maps figure F', and transformation t2 figure F' onto figure F". The transformation that maps F onto F" is called the "Composite" of T1 and T2, written T2oT1. |
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
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If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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