Question

Complete the two-column proof by providing the missing statements or reasons above.

Answer 1

@satellite73

Answer 2

sorry I'm not good at this stuff

Answer 3

It's alright neither am I :/

Answer 4

cool profile picture

Answer 5

thanks, yours too.

Answer 6

thanks anime is awesome u like anime?

Answer 7

Yeah

Answer 8

awesome fan for fan?

Answer 9

sure.

Answer 10

ABCD is a rhombus is 1

Answer 11

I already got that one, I probably should have put that. It's the reasons I need help on.

Answer 12

I'm not sure if this is correct but I think 6 is Definition of Perpendicular Lines/Angles

Answer 13

The first reason is "given."
Since there is only one given in the statement of the problem, the first statement must be
1. ABCD is a rhombus

Answer 14

The second statement states that all sides of the rhombus have equal lengths.
We know all sides of a rhombus have equal lengths because that is the definition of rhombus.
Reason 2. Definition of rhombus

Answer 15

BTW, there is a mistake in statement 2. It mentions lengths AD and DA, but they are the same. Statement 2 should be:
AB = BC = CD = DA

Answer 16

We have this so far.

Answer 17

Now we state statement 3, and we have this:

Answer 18

Statement 4 is incorrect. It is proving the wrong pair of triangles, and we don't have enough info for it yet anyway.

Answer 19

Statement 4 should be:
4. AO = AO 4. Reflexive property of equality.
Now we have this:

Answer 20

Now we prove the correct pair of triangles congruent:
5. Triangle ADO is congruent to triangle ABO 5. SSS
6. <1 is congruent to <2 6. CPCTC
7. <1 and <2 are right angles 7. If 2 angles are congruent and
supplementary, then they are right angles.
8. Line AC is perpendicular to line DB 8. Definition of perpendicular lines