Answer:
CE = 0 cm
Explanation:
You want the length of segment CE in the diagram of congruent rectangles ABCD and DEFG that are 7 cm by 17 cm.
Congruence
Rectangle ABCD congruent to rectangle DEFG means that segment DE is the same length as segment AB: 7 cm.
The diagram shows us that ...
DC +CE = DE . . . . . . . segment addition theorem
Side DC is opposite side AB in the rectangle so has the same length: 7 cm. Filling in the known values, we have ...
7 cm + CE = 7 cm
CE = 0 cm . . . . . . . . . . subtract 7 cm from both sides
The length of segment CE is 0 cm.
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Additional comment
The graphic would suggest that rectangle ABCD is congruent to rectangle EFGD, but that is not what the words are telling us. The best we can say is the drawing is not drawn to scale.
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