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astra-53 [7]
2 years ago
15

PLEASE HELP ASAP!! WILL GIVE BRAINIEST + 30 POINTS!!

Mathematics
1 answer:
Goryan [66]2 years ago
6 0

Given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:

  1. Given
  2. Definition of rectangle.
  3. Definition of rectangle.
  4. By SAS Congruence Theorem.
  5. By CPCTC.

<h3>What is a Rectangle?</h3>
  • A rectangle is a quadrilateral.
  • All four angles in a rectangle are right angles.
  • The opposite sides of a rectangle are parallel and congruent to each other.

Therefore, based on what we are given and the definition of a rectangle, we can establish that △URS ≅ △STU by SAS.

Since △URS ≅ △STU, therefore ∠USR = ∠SUT by CPCTC.

In conclusion, given rectangle RUTS, the missing reasons that justifies the five statements in the two-column proof are:

  1. Given
  2. Definition of rectangle.
  3. Definition of rectangle.
  4. By SAS Congruence Theorem.
  5. By CPCTC.

Learn more about properties of rectangle on:

brainly.com/question/2835318

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Hope I helped!

Best regards! :D

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