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mr_godi [17]
3 years ago
11

According to the given information, quadrilateral RECT is a rectangle. By the definition of a rectangle, all four angles measure

90°. Segment ER is parallel to segment CT and ______________ by the Converse of the Same-Side Interior Angles Theorem. Quadrilateral RECT is then a parallelogram by definition of a parallelogram. Now, construct diagonals ET and CR. Because RECT is a parallelogram, opposite sides are congruent. Therefore, one can say that segment ER is congruent to segment CT. Segment TR is congruent to itself by the Reflexive Property of Equality. The Side-Angle-Side (SAS) Theorem says triangle ERT is congruent to triangle CTR. And because corresponding parts of congruent triangles are congruent (CPCTC), diagonals ET and CR are congruent.
Mathematics
1 answer:
mash [69]3 years ago
3 0
I think this would be answer <span>Same-Side Interior Angles Theorem</span>
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