Question

Jimmy’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 (transitive property of equality)
Statement 4: Triangle ADC and BCD are congruent (by SAS postulate)
Statement 5: AC = BD (by CPCTC)
Which statement in Jimmy’s proof has an error?

Answer 1

no error

Answer 2

yeah apparently there is no error !!

Answer 3

Yippee!!Cheers for Jimmy!!

Answer 4

no i think there can be a mistake in statement five ..... if you consider each statement independent of each other then in statement 5 the student have not mentioned the congruent triangle so may be it can be considered as incorrect ever though the relation is correct

Answer 5

ever=even

Answer 6

I guess.. there could be an error in statement 1 , where he says that "opposite sides of a rectangle are congruent)" but .. as far as i know, you never say they are 'congruent', you always say they are 'equal'! :/

Answer 7

if u consider each statement independent then statement 4 is also wrong as u cannot say 2 triangles are congruent without proof or reason.....

Answer 8

thats CPCTC may be incorrect ....

Answer 9

as far as i know its CPCT[Corresponding Parts of Congruent Triangles] NOT CPCTC

Answer 10

nah CPCTC is rite its [Corresponding Parts of Congruent Triangles are Congruent]

Answer 11

@Hashir : Naah, 'CPCTC' is absolutely correct.. because.. he already proved that the 2 triangles are equal by SAS postulate..

Answer 12

i am saying that there may be a possibility .... if we consider each statement independent

Answer 13

CPCTC ('Corresponding parts of congruent triangles are congruent') is nothing but another name/abbr. for CPCT ..

Answer 14

Okay
Conclusion:Jimmy is an over-cautious idiot trying to find a mistake in an absolutely correct proof!!

Answer 15

so 3 has a problem ... 3 is incorrect ... got it now

Answer 16

whats wrong in 3??DC=DC is not true?

Answer 17

bro in transitive property we prove that if a=b and b=c then a=c .... not a=a !!!

Answer 18

it doesnt make any sense

Answer 19

@Hashir : I totally agree with you!!.. transitive property is --> if a=b, and b=c .. a=c! :P

Answer 20

it can be correct if he says that DC=CD

Answer 21

but he didnt say that

Answer 22

oh!ok!i did not know that!!so yes Jimmy being over-cautious helped him as @Hashir the detective finds the criminal eluding his 2 pardnas!

Answer 23

;D