I need a conclusion and reason for the following statements.

1. Angle C is supplementary to angle R
Angle D is supplementary to angle R
Conclusion: ?
Reason: ?

2. XY - 9 = ST - 9
Conclusion: ?
Reason: ?

3. Ray CD bisects angle BCR
Conclusion: ?
Reason: ?

4. Segment AB is congruent to segment BC
Segment BC is congruent to segment CD
Segment CD is congruent to segment DE
Conclusion: ?
Reason:?

I will be happy to critique your thinking.

(-3,-5) and (5,-1) what ordered pair describes the location of the midpoint if the line segment

find H(-5,5) and I (7,3)

1. Conclusion: Angle C and Angle D are congruent.

Reason: Supplementary angles are angles whose measures add up to 180 degrees. Since Angle C and Angle R are supplementary, and Angle D and Angle R are supplementary, it means that both Angle C and Angle D have the same measure. Therefore, Angle C and Angle D are congruent.

2. Conclusion: XY = ST.
Reason: Since both sides of the equation have the same constant term (-9), we can add 9 to both sides to simplify the equation: XY - 9 + 9 = ST - 9 + 9. This simplifies to XY = ST. Therefore, XY is equal to ST.

3. Conclusion: Angle BCD and Angle BCR are congruent.
Reason: When a ray bisects an angle, it divides the angle into two congruent angles. Therefore, if Ray CD bisects Angle BCR, it means that it divides Angle BCR into two congruent angles: Angle BCD and Angle BCR. Therefore, Angle BCD and Angle BCR are congruent.

4. Conclusion: Segment AB, Segment BC, Segment CD, and Segment DE are all congruent to each other.
Reason: Transitive property of congruence states that if two segments are congruent to a third segment, then they are congruent to each other. Since Segment AB is congruent to Segment BC, and Segment BC is congruent to Segment CD, and Segment CD is congruent to Segment DE, it means that Segment AB, Segment BC, Segment CD, and Segment DE are all congruent to each other.