Problem 1
Answer: AB = 13
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Explanation:
The order of the letters is important.
Note how T and U are the first two letters of TUVW. The same can be said about A and B being the first two letters of ABCD.
Since TUVW = ABCD, we know that TU = AB. The corresponding parts must be congruent for the overall figures to be congruent.
TU = 13 is given, so therefore AB = TU = 13 or simply AB = 13.
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Problem 2
Answer: angle R = 143 degrees
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Explanation:
We'll use similar logic as done with problem 1. The order of the letters is important. Note that letter R is in slot 2 for QRSTU, and E is in the same slot number for DEFGH. The two angles E and R correspond to one another. Corresponding angles must be congruent for the overall figures to be congruent.
The diagram shows angle E = 143 degrees, so angle R = angle E = 143
