Page 843 - Algebra 1

17. What matrix was used to translate △ABC to △A'B'C' using matrix addition?
You can also transform a geometric figure through scalar multiplication. Scalar multiplication multiplies a matrix A by a scalar c. To find the resulting matrix cA, multiply each element of A by c.
Exploration Using Scalar Multiplication to Transform Geometric Figures
18. Predict Use matrix A from the previous Exploration. What would be the effect of multiplying each element in matrix A by 2?
19. Find the matrix 2A using a graphing calculator.
20. Use the elements of 2A as the coordinates of the vertices of △A''B''C''.
Plot the vertices of △A''B''C'' to create a graph of the triangle.
21. Write Describe the relationship between △ABC and △A''B''C''.
22. What matrix would create a triangle one-fourth the size of △ABC?
23. Describe the relationship between △ABC and △A'B'C'.
828 Saxon Algebra 1
y
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C
y
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