The figure below shows rectangle abcd with diagonals segment ac and segment db:
jimmy w...
Mathematics, 12.12.2019 05:31 denym58
The figure below shows rectangle abcd with diagonals segment ac and segment db:
jimmy wrote the following proof to show that the diagonals of rectangle abcd are congruent:
jimmy's proof:
statement 1: rectangle abcd is given
statement 2: segment ab ≅ segment dc because opposite sides of a rectangle are congruent
statement 3: angles abc and dcb are both right angles by definition of a rectangle
statement 4: angles abc and dcb are congruent because all right angles are congruent)
statement 5:
statement 6: triangles abc and dcb are congruent by sas
statement 7: segment ac ≅ segment db by cpctc
which statement below completes jimmy's proof?
a. segment ad ≅ segment ad (reflexive property of congruence)
b. segment ad ≅ segment ad (transitive property of congruence)
c. segment bc ≅ segment bc (reflexive property of congruence)
d. segment bc ≅ segment bc (transitive property of congruence)
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