Chapter Test
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Note that both triangles have two vertices in common. Be careful when writing the congruence statement.
Example Statement: △ YPA ≅ △ LAP
When we name congruent polygons, we list corresponding vertices in the same order. That is, we need to pair the parts (angles or sides) of one triangle with the corresponding parts on the other triangle. Using this logic, we get the following pairs of congruent angles. ∠ Y &≅ ∠ L ∠ YAP &≅ ∠ LPA ∠ YPA &≅ ∠ LAP From either of the last two relations, we can get a congruence statement. Hence, one possible congruence statement is that △ YPA ≅ △ LAP.
Note that, in total, there are 6 different ways of writing the congruence between the two triangles. Below, we list all of them.