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Determining Congruence

Determining Congruence 1.5 - Solution

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Looking at the graph, we can see that and have the same shape and size. What separates them are their position and orientation on the coordinate plane. Therefore, they are congruent.

In vertex is above and In the corresponding vertex, is below and To line up their orientations, we can rotate about the origin For simplicity, and since it is not congruent to any triangle, we will not draw

Next, by translating up units and right units, we can map it onto

Therefore, the congruence transformation that maps onto is a rotation about the origin, followed by a translation up units and right units.