Question

Medal! The figure below shows a rectangle ABCD having diagonals AC and DB.

Answer 1

Zinnia wrote the following proof to show that the diagonals of rectangle ABCD are congruent.

Zinnia's proof:
Statement 1: In triangle ADC and BCD, AD = BC (opposite sides of a rectangle are congruent)
Statement 2: Angle ADC = Angle BCD (angles of a rectangle are 90°)
Statement 3: DC = DC (reflexive property of equality)
Statement 4: Triangle ADC and BCD are congruent (by ASA postulate)
Statement 5: AC = BD (by CPCTC)

Which statement in Zinnia's proof has an error?

Statement 1

Statement 4

Statement 3

Statement 2

Answer 2

@Mertsj Help please

Answer 3

@jim_thompson5910 help

Answer 4

@thomaster help

Answer 5

any ideas?

Answer 6

idk am confused

Answer 7

this is my last question

Answer 8

how about we eliminate things we know are true so far

Answer 9

can you spot any you know are correct?

Answer 10

SAS?

Answer 11

what do you mean?

Answer 12

what about SAS

Answer 13

what are u asking for?

Answer 14

why did you say SAS?

Answer 15

No before that

Answer 16

oh I asked if you can find any true statements (that can be eliminated)

Answer 17

Statement 5

Answer 18

what else?

Answer 19

Statement 4

Answer 20

@jim_thompson5910 u there

Answer 21

why is statement 4 true?

Answer 22

@Mertsj u there?

Answer 23

Let's be logical.

Answer 24

Statement 1 shows 1 SIDE of one triangle congruent to a side of the second triangle
Statement 2 shows 1 ANGLE of one triangle congruent to an angle of the second triangle
Statement 3 shows 1 SIDE of one triangle congruent to a side of the second triangle
Then Statement 4 says the triangles are congruent by ANGLE SIDE ANGLE
Does that make ANY sense at all?