Question

Complete the two-column proof by providing a reason for each of the five statements.

(100 POINTS)

Answer 1

• RUTS is a rectangle (Given)
• RU=ST;UT=RS(Sides of rectangle are equal)
• <STU and <SRU are right angles(All angles of rectangle is measured 90°)
• ∆URS
  `\cong`∆STU(Side-Angle-Side Congruence)
• <USR=<SUT(As triangles are same angles remain same

Answer 2

• See below

Explanation:

Missing reasons:

• 1. Given
• 2. Definition of rectangle
• 3. Definition of rectangle
• 4. SAS (side-angle-side) postulate
• 5. Corresponding parts of congruent triangles are congruent