Please help !!

- Shalayla4

Please help !!

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- katieb

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- Shalayla4

##### 1 Attachment

- Landon34

bruh, the answer is on the top right.

- Shalayla4

Yea, thank you, I put that in.. I need help with all the blanks..

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## More answers

- Landon34

oh, ok.

- Landon34

No, it doesnt need one.

- Shalayla4

Lol. What is the theorem .
And yes, it does need one.. It's highlighted so there has to be one.. I guess, teacher highlighted what needs to go.

- Landon34

well, I would ask your teacher for help, I would be wrong, if I tried to figure it out.

- Shalayla4

Ohkay, how do I show that I got the answer I got though?

- Shalayla4

She can't help me, that's why I posted it. She is working with students taking finals

- Landon34

are you homeschooled, privite school, or public?

- Shalayla4

Homeschool. (online)

- Landon34

Ok, Im in privite school, (Enlightium christian academy) and I dont know how online school works, but you need help from someone who knows what they are doing. ( your parents, big brother,etc)

- Shalayla4

All at school and work.. :/

- Hope210

I'm homeschooled and i do it online

- Landon34

tell your teacher, your work will come in late. you dont know what you are doing.

- Shalayla4

Can you help me well? @hope210

- Shalayla4

I only have until Thursday at 5 p.m. and I just need it finished.. I can't figure it out.

- Hope210

Maybe let me see?

- Shalayla4

It's at the top :)

- Hope210

Okay thanks

- Shalayla4

Yep!

- Hope210

Quick Question, What grade are you in?

- Shalayla4

I'm in 10th, this is Geometry..

- Landon34

wow, Im in 8th.

- Landon34

no wonder it was confusing.

- Shalayla4

Ohhp ahaa my bad..

- Hope210

yeah I'm in 9th grade so this doesn't make much sense either but I know someone you might be able to help

- Landon34

we could get @mathmale on here.

- Shalayla4

Okay, tag them please??

- Shalayla4

Thanks guys :)

- Landon34

@mathmale

- Landon34

@pooja195

- Hope210

These people might be able to help also @Ms-Brains and @adelyn_helps

- Shalayla4

Okay thank you so much! :)

- Landon34

Im going to reload the page. hold on.

- Hope210

Your welcome

- Shalayla4

@pogo it's at the top ^.~

- pogo

~(^_~)~
so you need answer to what that theorem is?

- Shalayla4

Yas, and how I solved the problem.. I guess.. whatever the blank one at the bottom says ..

- Shalayla4

"Show and explain how to obtain the answer given" The answer I put in red..

- pogo

jst a sec i made a typo

- pogo

okay this is the theorem->
whenever 2 parallel lines are cut by a transversal then the alternate exterior angles are always equal
and for this-"Show and explain how to obtain the answer given"
the answer will be->
Since AB||CD, by the Corresponding Angles Postulate,
angle1 is congruent to angle5.
Also, by the Vertical Angles Theorem,
angle5 is congruent to angle7.
Then, by the Transitive Property of Congruence,
angle1 is congruent to angle7.
You can prove that angle4 and angle6 are congruent using the same method.

- Shalayla4

Whheeelll thaan . Thanks love!! Haha Now, I have 4 more xD

- pogo

lol xD
\(\huge\cal\color{blue}{ヾ(⌐■‿■)ノ♪}\color{pink}{*:･ﾟ}\color{gold}{✧*:}\color{red}{･ﾟ✧*}\color{green}{:･ﾟ:･ﾟ}\color{violet}{✧*:･ﾟ✧*:･ﾟ✧*:･ﾟ✧*:･ﾟ✧*:･ﾟ✧}\)

- pogo

okay i can help with those 4 too :)

- Shalayla4

##### 1 Attachment

- Shalayla4

That's two, I just don;t get it !!! Agghhh!!

- pogo

okay :)
The sum of all the angles inside a triangle is 180 degrees
so
the sum of all angles is 180
so
\(25+120+x=180\)
now can you find x from here?

- Shalayla4

Indeed . c:

- pogo

:) so what is the value of x that you got :D

- Shalayla4

145

- Shalayla4

Wait no

- Shalayla4

WWWWWWAAAIIITTTT!!!!

- pogo

okay :)

- Shalayla4

35 c:

- pogo

yeah correct :D

- Shalayla4

So my answer is 35, right?

- pogo

yes

- Shalayla4

Okay, so theorem?? .-.

- Shalayla4

And then showing my answer bleeeccchhhh..

- pogo

the theorem will be->
Interior angle sum property
the sum of all angles inside a triangle is 180

- pogo

shyla?

- Shalayla4

Sorry, I was trying to figure it out, got it.. and *Shayla Lol

- pogo

lol okay :)
if you get stuck feel free to ask :D

- Shalayla4

Ohkay, I got this :p
So How would I explain how I got my answer though?

- pogo

okay explain it like this->
Using interior angle sum property of triangles we can write-
25+120+x=180
145+x=180
145+x-145=180-145
x=35

- Shalayla4

Ohhhh Okaaayyyy!!

- Shalayla4

Ugh third one..

##### 1 Attachment

- pogo

okay
so here
\[\frac{ ST }{ RU }=\frac{ RU }{ QV}\]
we know SU and RU just substitute the values to get QV
ugh i can't recall the theorem >_

- Shalayla4

Ahh I see and dang it! :/
That's otaaayyy! c: Thanks love! And how would I explain that?

- Shalayla4

And you mean we know ST and RU not SU :)

- pogo

oh lol yes ST cx

- Shalayla4

So it's 59.59?

- pogo

okay i have an explanation tho
but can you tell me which chapter is it related to
because i have an explanation related to triangles

- Shalayla4

Uhmmmm I have no clue, I look at lessons not a book :/

- pogo

okay were the lessons related to triangles or parallel lines or something else?

- Shalayla4

The units were on Congruent Polygons & Special Quadrilaterals && Polygon Basics

- Shalayla4

Hey, is my answer 59.59 tho?
That's what I got...

- pogo

yeah your answer is correct

- Shalayla4

Yay!

- Shalayla4

You there??

- pogo

but the explanation i have is this->
Line passing through the midpoints of the non parallel sides of a trapezium is parallel to the other two sides
so
since|dw:1450209116843:dw|
here
corresponding angles are equal
so by this property we can say->
QV||RU
angle1=angle5
angle 2= angle 6
RU||ST
angle 3=angle 7
angle4=angle8
so since all the angles are equal trapeziumQVUR is similar to trapezium RUST
so the ratio of sides will be equal
so\[\frac{ ST }{ RU }=\frac{ RU }{ QV }\]

- pogo

hah cut that "but" in the starting
:) i recalled the proof

- Shalayla4

Can you dumb that down o.o I'm not smart xD

- pogo

we just proved that trapeziumQVUR and trapeeziumRUST are similar so the ratio of corresponding similar sides must be equal
so
\(\frac{ ST }{ RU }=\frac{ RU }{ QV }\) and we used this result and substituted given values to get the answer.

- Shalayla4

Trapezium?

- pogo

trapezium is a type of quadrilateral which looks likes this->|dw:1450209889242:dw|
trapeziums have 2 opposite parallel sides
in this figure AB and CD are parallel

- Shalayla4

Ohhhh okayyy. Lol

- Shalayla4

Alrighty, number 4, 2 left ^.~

- Shalayla4

##### 1 Attachment

- pogo

\(\huge\cal\color{cyan}{ヾ(⌐■‿■)ノ♪}\color{pink}{*:･ﾟ}\color{gold}{✧*:}\color{red}{･ﾟ✧*}\color{green}{:･ﾟ:･ﾟ}\color{violet}{✧*:･ﾟ✧*:･ﾟ✧*:･ﾟ✧*:･ﾟ✧*:･ﾟ✧}\)

- pogo

okay :D

- Shalayla4

Thank you so much for taking the time to even help me :/

- pogo

in the given figure
angleABC=angleCDE (given)
angleACB=angleECD (vertically opposite angles are equal)
and sideBC= sideCD (given)
so therefore these 2 triangles are congruent by ASA(Angle-Side-Angle property)

- pogo

haha np (;

- Shalayla4

So given the ASA property, that's my theorem right?

- pogo

yes :)

- Shalayla4

Yay I'm getting it! c: Okay so I'm confused on what the answer is then?

- pogo

the explanation?

- adelyn_helps

What grade is this

- Shalayla4

10th and that's what I meant @pogo :p

- Shalayla4

Wait, the answer I need to put is ASA and use the same answer for the Theorem?

- pogo

okay this is the explanation-
in the given figure
angleABC=angleCDE (given)
angleACB=angleECD (vertically opposite angles are equal)
and sideBC= sideCD (given)
so therefore these 2 triangles are congruent by ASA(Angle-Side-Angle property)

- Shalayla4

That's the whole explanation?
But the ASA part is my answer for the top right hand box, right?

- pogo

so you want the explanation to why the ASA property works?

- Shalayla4

Wait.. So this answer you gave me is which part?? Answer, Theorem, or Explanation?
""In the given figure

- pogo

the theorem used is-> ASA theorem
the explanation to why the two triangles are congruent by ASA is ->
In the given figure

- Shalayla4

Ahhh, Sorry I'm difficult.. :/

- Shalayla4

Okay I see it now, phew.. Got it..
One more then you don't have to deal with me anymore c;

- pogo

:)

- Shalayla4

##### 1 Attachment

- Shalayla4

JK is 18cm right?

- pogo

yeah :D

- Shalayla4

Okay, now how do I figure out the theorem I "used" lol

- pogo

:D
Side opposite to equal angles are equal in length

- Shalayla4

What do you mean? So point K equals 28cm?
UGH Idk :(

- pogo

no :)
i mean like-|dw:1450211669636:dw|
in this figure
angleABC=angleACB <-- this is given
and we can see that side opposite to angleABC is AC
and side opposite to angleACB is AB
according to the theorem -sides opposite to equal angles are equal
so AB=AC

- Shalayla4

Ohhh So my theorem is "Because sides opposite to equal angles are equal, that means AB is equal to AC" Right?

- pogo

yeah in your case KJ=LK :)

- Shalayla4

Well yea, silly c:
Okay So How Do I Explain That?

- pogo

explanation is->
the two angles are equal in the triangle
so this means that the triangle is isosceles and in isosceles triangle the sides opposite to the equal angles are equal so KJ=KL

- Shalayla4

It's not fair!! stahhpp being so smmaarrtt!!! -.- C:

- Shalayla4

You are LITERALLY my lifesaver!!! Thank you so much!!!!! Message me. If you want to still deal with muaahhh xD

- pogo

lol okay

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