Each graph shows two polygons \(ABCD\) and \(A’B’C’D’\). In each case, describe a sequence of transformations that takes \(ABCD\) to \(A’B’C’D’\).
<p>Quadrilateral <span class="math" data-png-file-id="11020">\(A\ B\ C\ D\)</span> and its image quadrilateral <span class="math" data-png-file-id="11022">\(A \ prime\ B\ prime\ C\ prime\ D\ prime\)</span> on a coordinate plane, origin <span class="math" data-png-file-id="35">\(O\)</span>. Horizontal axis scale negative 5 to 5 by 1’s. Vertical axis scale negative 2 to 3 by 1’s. The coordinates of<span class="math" data-png-file-id="11020">\(A\ B\ C\ D\)</span> are <span class="math" data-png-file-id="2">\(A\)</span>(negative 3 comma 3), <span class="math" data-png-file-id="6">\(B\)</span>(negative 4 comma 1), <span class="math" data-png-file-id="7">\(C\)</span>(negative 2 comma negative 1)and <span class="math" data-png-file-id="12">\(D\)</span>(negative 2 comma 2). The coordinates of <span class="math" data-png-file-id="11014">\(A\ prime\ B\ prime\ C\ prime\ D\ prime\)</span> are <span class="math" data-png-file-id="11023">\(A\ prime\)</span>(3 comma 2), <span class="math" data-png-file-id="11028">\(B\ prime\)</span>( 4 comma 0), <span class="math" data-png-file-id="11034">\(C\ prime\)</span>(2 comma negative 2)and <span class="math" data-png-file-id="11018">\(D\ prime\)</span>(2 comma 1).</p>
Quadrilateral A B C D and its image quadrilateral A prime B prime C prime and D on a coordinate plane, origin O. Horizontal axis scale negative 5 to 7 by 1’s. Vertical axis scale negative 1 to 4 by 1’s. The coordinates of A B C D are A(negative 4 comma 1), B(negative 1 comma 0), C(1 comma 3) and D(negative 2 comma 3). The coordinates of A prime B prime C prime D prime are A prime (4 comma 4), B prime (3 comma 1), C prime (6 comma negative 1) and D prime (6 comma 2).
Lin says that she can map Polygon A to Polygon B using only reflections. Do you agree with Lin? Explain your reasoning.
Two quadrilaterals polygon A and B on a grid. Let (0 comma 0) be the bottom left corner. Then the coordinates of polygon A are: (1 comma 4), (3 comma 7), (4 comma 5) and (3 comma 4). The coordinates of polygon B are: (5 comma 1), (7 comma 4), (5 comma 4) and (4 comma 3).