Question

(pic in replies)
Jimmy wrote the following proof to show that the diagonals of rectangle ABCD are congruent:

Jimmy's proof:
Statement 1: Rectangle ABCD is given
Statement 2: segment AB ≅ segment DC because opposite sides of a rectangle are congruent
Statement 3: Angles ABC and DCB are both right angles by definition of a rectangle
Statement 4: Angles ABC and DCB are congruent because all right angles are congruent)
Statement 5:
Statement 6: Triangles ABC and DCB are congruent by SAS
Statement 7: segment AC ≅ segment DB by CPCTC

Which statement below completes Jimmy's proof?

segment AD ≅ segment AD (reflexive property of congruence)
segment AD ≅ segment AD (transitive property of congruence)
segment BC ≅ segment BC (reflexive property of congruence)
segment BC ≅ segment BC (transitive property of congruence)

Answer 1

@dontsaymyname

Answer 2

segment BC ≅ segment BC (reflexive property of congruence) this is how i did it Reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself. Before statement 6, you need to prove that side BC is the same for both triangles

Answer 3

\(\color{#0cbb34}{\text{Originally Posted by}}\) @TWALKER16
segment BC ≅ segment BC (reflexive property of congruence) this is how i did it Reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself. Before statement 6, you need to prove that side BC is the same for both triangles
\(\color{#0cbb34}{\text{End of Quote}}\)
thanks bro