The image below shows two dilated figures with lines UV and WX drawn. If the larger figure is dilated using a scale factor of 4, what relationship do lines UV and WX have? Would this relationship hold true for all dilations?
My Answer: LINES UV AND WX WOULD BE PARALLEL TO EACH OTHER [AFTER THE DILATION OF THE LARGER FIGURE]. < JUST LIKE HOW THEY WERE BEFORE THE DILATION OCCURRED. ^ YES, THIS RELATIONSHIP WOULD HOLD TRUE FOR ALL DILATIONS. *I ALSO NOTICED THAT AFTER THE DILATION, OF THE LARGER FIGURE, LINE UV HAD BECOME OF GREATER LENGTH - MAKING LINE WX LOOK EVEN SMALLER THAN WHAT IT ORIGINALLY WAS [EVEN THOUGH LINE WX DIDN'T CHANGE IN LENGTH OR ANYTHING]! < IN FACT, LINE UV HAD INCREASED BY AN OUTSTANDING FACTOR OF 4! < LINE UV WOULD CONTINUE TO INCREASE IN LENGTH [AS LONG AS THE SCALE FACTOR OF THE DILATION INCREASES, AND LINE WX REMAINS UNCHANGED]. My apologies for the caps >.>
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