Complete the two-column proof by providing a reason for each of the five statements. Given: Rectangle RUTS
Prove: ∠USR = ∠SUT

Statement Reason
1. RUTS is a rectangle 1.
2. RU = ST; UT = RS 2.
3. ∠STU and ∠SRU 3.
are right angles
4. △URS ≅ △STU 4.
5. ∠USR = ∠SUT 5.

The given two column proof can be completed as follows;

Statement                                   Reason

1. RUTS is a rectangle                                1. Given

2. RU = ST; UT = RS                                  2. Definition of a rectangle

3. ∠STU and ∠SRU are right angles         3. Definition of a rectangle

4. ΔURS ≅ ΔSTU                                       4. By SAS rule of congruency

5. ∠USR = ∠SUT                                         5. By CPCTC

Step-by-step explanation:

The Side-Angle-Side (SAS) rule of congruency states that where we have two sides and an included angle of one triangle, congruent to the corresponding two sides and included angle of another triangle, the two triangles are congruent

The Congruent Parts of Congruent Triangles are Congruent (CPCTC) postulate is made use of the serve as proof that two parts of a triangle are congruent when it has been proven that the two triangles are congruent.

a function could be identified in 3 ways either on a chart,graph, or ordered pairs. first a function is that each point has its own. the rule is that there can be many x's to one y but there can not be 2 x's at different y's. so on a graph when you put a straight line through the y's there should be one dot only to be a function.

step-by-step explanation:

add 8+12 to get a simplified answer of 12r-20