Question

MEDAL!!! The following is an incomplete flow chart proving that the opposite angles of parallelogram JKLM are congruent:

Answer 1

Which statement and reason can be used to fill in the numbered blank spaces?



∠QJM ≅ ∠JKL
Alternate Exterior Angles Theorem


∠JML ≅ ∠QJM
Alternate Exterior Angles Theorem


∠QJM ≅ ∠JKL
Alternate Interior Angles Theorem


∠JML ≅ ∠QJM
Alternate Interior Angles Theorem

Answer 2

@wio can u help me?

Answer 3

@jigglypuff314 can u help me on this

Answer 4

@jigglypuff314 u there

Answer 5

The way I did it might be a bit confusing...

the two steps after the blanks are
<QJM = <LKJ by corresponding angles
and
<JML = LKJ by transitive property

the clue is transitive
the transitive property is if a=b and b=c then a=c
they gave the last two parts "b=c then a=c"

so the missing part should be "a=b"

the two given parts have <LKJ in common
and in the transitive property we can then match it up as "c"
so then "b" = <QJM
and "a" = <JML
so for the missing part needed to make transitive property
a =b
you'll get <QJM = <JML

and if you look at it that way, they are congruent by alternate interior angles

Answer 6

The third one

Answer 7

oh sorry, I was stating it based on letters.
∠QJM ≅ ∠JKL is not the same as
<QJM = <JML

it might help if I flipped it I meant <JML = <QJM

Answer 8

Yea I was gonna say it was the last one

Answer 9

thanks

Answer 10

glad I could help ^_^