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devinmartin0923

  • one year ago

Geometry help (part 3) (and final)

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  1. devinmartin0923
    • one year ago
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    Margot wrote the following paragraph proof showing that rectangles are parallelograms with congruent diagonals.

  2. devinmartin0923
    • one year ago
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  3. devinmartin0923
    • one year ago
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    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 segment EC is parallel to segment RT 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 __________________. And because corresponding parts of congruent triangles are congruent (CPCTC), diagonals ET and CR are congruent. Which of the following completes the proof? triangle ECR is congruent to triangle ECT triangle ECT is congruent to triangle CER triangle ERT is congruent to triangle CTR triangle ETR is congruent to triangle ECR

  4. devinmartin0923
    • one year ago
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    it is not B

  5. devinmartin0923
    • one year ago
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    @mathway @peachpi

  6. devinmartin0923
    • one year ago
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    @pooja195

  7. devinmartin0923
    • one year ago
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    thinking its A

  8. devinmartin0923
    • one year ago
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    @jayzdd

  9. Plasmataco
    • one year ago
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    It is c

  10. devinmartin0923
    • one year ago
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    thank you <3

  11. anonymous
    • one year ago
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    @Plasmataco Giving out direct answers is against the Code of Conduct of OS. http://openstudy.com/code-of-conduct

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