HOW DOES SIMILARITY DIFFER FROM CONGRUENCE? WHY DOES THE PROPERTY OF RIGID MOTION NOT APPLY FOR ALL TRANSFORMATIONS?
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Answer:
The graph of the triangle LMN and the image L'M'N' created by rotation of ΔLMN through 180° made with MS Excel is attached
The transformation involved in the 180° rotation of ΔLMN to create ΔL'M'N' includes;
The changing of the signs of the <em>x</em> and y-values of the coordinates of the vertices ΔLMN to get the corresponding <em>x</em> and y-values of the coordinates of the vertices of ΔL'M'N' as follows;
Before, rotation
The coordinates of the vertices of ΔLMN are; L(3, 3), M(9, 9), and N(9, 3)
After 180° rotation
The coordinates of the vertices of the image of ΔLMN, which is ΔL'M'N' are; L'(-3, -3), M'(-9, -9), and N'(-9, -3)
Therefore, the image of ΔLMN, ΔL'M'N' is located in the third quadrant, while the preimage ΔLMN is in the first quadrant
Part B
The lines drawn through L and L' and through M and M' are colinear lines
Part C
The lines dawn through points N and N' will not pass through the same line as the lines through L and L' and through M and M', because the three points are not colinear
Step-by-step explanation:
