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Given : ABCE is a rectangle. D is the midpoint of CE.

Prove : AD is congruent to BD .

Statements || Reasons

1. ABCE is a rectangle. D is the midpoint of CE . || 1. Given

2. <AED is congruent to BCD || 2. Definition of rectangle

3. AE is congruent to BC || 3. Definition of rectangle

I have to fill in a 4, 5, and 5 statement and reason .

I can't post the link of the shape here, but if you look up the question, it will be there on OpenStudy. The shape of the rectangle with the upside down triangle in it. I actually just copied the question, I'm really stuck and confused. I don't know what to do next. I'm not good at proofs at all! I really need help please!

2 answers

I know this question is old but I will answer it anyways :D.

4 statement.) Line ED and line CD are congruent
4 reason.) definition of Midpoint

5 statement.) Triangle AED is congruent to triangle BCD
5 reason.) SAS

6 statement.) Line AD is congruent to line BD
6 reason.) CPCTC

I hope this helps you. I'm not sure if I'm right because i was just taking the little quiz thing that this question was on and my teacher hasn't graded it but I'm feeling very confident with it and ive always been good with math so i hope you trust my answer :)
Helped me so much, thank you loads :)