Question

A conjecture and the two-column proof used to prove the conjecture are shown. given: s is the midpoint of segment r t. segment r t is congruent to segment x y. prove: segment r s is congruent to segment x y. segment x y with endpoints x and y. line r s t is horizontal. line r s t has two segments r s and s t with the same length. s is the midpoint and r and t are the extreme left and extreme right points respectively. drag an expression or phrase to each box to complete the proof. put responses in the correct input to answer the question. select a response, navigate to the desired input and insert the response. responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. responses can also be moved by dragging with a mouse. statement reason 1. s is the midpoint of rt⎯⎯⎯⎯⎯. given 2. response area response area 3. ​st⎯⎯⎯⎯⎯≅xy⎯⎯⎯⎯⎯​ given 4. ​​response area response area

Answer 1

To prove that segment rs is congruent to segment xy, we can use the properties of midpoint and transitive property of congruence

Step-by-step explanation:

Proof:

1. Given: s is the midpoint of segment rt
2. Statement: s is the midpoint of segment rs
3. Reason: Definition of midpoint
4. Given: segment rt is congruent to segment xy
5. Statement: segment rs is congruent to segment xy
6. Reason: Transitive Property of Congruence