Geoffrey wrote the following paragraph proof showing that rectangles are parallelograms with congruent diagonals.

Mathematics

2 answers:

blondinia [14]3 years ago

5 0

The answer is (SAS) Theorem. Because we know triangle ERT is congruent to triangle CTR, it has the sides ( C& E and R&T, and the angle T&R).

Hope its correct.

snow_tiger [21]3 years ago

3 0

Consider the triangles ERT and CTR.

|ER|=|CT| shown

(Therefore, one can say that segment ER is congruent to segment CT.)

m(R)=m(T)= 90°shown

(By the definition of a rectangle, all four angles measure 90°)

|RT|=|TR|

so we have Side Angle Side congruence.

By the (SAS) Theorem, the triangles are congruent.

Answer: C (SAS) Theorem

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