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Mathematics 8 Online
OpenStudy (nightmarenight):

Geometry questions???? Will fan and give medal for help???? Attached below

OpenStudy (nightmarenight):

OpenStudy (solomonzelman):

you want all of them done

OpenStudy (solomonzelman):

Do you have any ideas for any of them? Just asking what you have done/thought of already

OpenStudy (nightmarenight):

I believe the first one is D and the second one is A

OpenStudy (nightmarenight):

I'm not 100% sure on either of them though. @SolomonZelman

OpenStudy (solomonzelman):

1 D is correct

OpenStudy (nightmarenight):

and #5 i think it's 70.

OpenStudy (solomonzelman):

for number 2, lets look at that now.

OpenStudy (solomonzelman):

you are given Side and Angle in the question, and in addition to this, you have a side AD.

OpenStudy (solomonzelman):

so the angles in number 2 are congruent by what postulate?

OpenStudy (nightmarenight):

SAS

OpenStudy (solomonzelman):

yes

OpenStudy (nightmarenight):

I think number 3 is SSS @SolomonZelman

OpenStudy (solomonzelman):

yes looks like it

OpenStudy (solomonzelman):

how about 4?

OpenStudy (nightmarenight):

SAS @SolomonZelman

OpenStudy (solomonzelman):

angle? where do you see angles here?

OpenStudy (nightmarenight):

Oh wait

OpenStudy (nightmarenight):

I think it's SSS

OpenStudy (solomonzelman):

I don't think 2 sides are given: you can see that PT forms the hypotenuses of the 2 triangles, and you know that the rest of the legs are respectively equivalent

OpenStudy (nightmarenight):

HL postulate ? It's not ASA since there's no angles

OpenStudy (solomonzelman):

yes D

OpenStudy (solomonzelman):

for 5, can you find the answer?

OpenStudy (nightmarenight):

and 5 I think it's 70

OpenStudy (solomonzelman):

70 would be Angles A & B together, no?

OpenStudy (nightmarenight):

Oh, yeah it would be, so A=35

OpenStudy (solomonzelman):

yes.

OpenStudy (solomonzelman):

because if the sides that \(\large\color{slate}{ \angle A }\) and \(\large\color{slate}{ \angle B }\) are equal (and they are) then the angles themselves are also equal.

OpenStudy (solomonzelman):

And \(\large\color{slate}{ \angle C=110 }\), then each \(\large\color{slate}{ \angle A }\) and \(\large\color{slate}{ \angle B }\) would be 1/2 of that, which is 35.

OpenStudy (solomonzelman):

now about number 6?

OpenStudy (nightmarenight):

I think #6 is B but I'm really unsure...

OpenStudy (solomonzelman):

Since it is isosceles \(\large\color{slate}{ \triangle }\), therefore (knowing that the right and left side are equivalent) then the two bottom angles are also equivalent

OpenStudy (solomonzelman):

so the other angle on the left would be \(\large\color{slate}{ 75^\circ }\) as well as the angle on the right.

OpenStudy (solomonzelman):

Now, can you find the top angle?

OpenStudy (nightmarenight):

30

OpenStudy (solomonzelman):

yes

OpenStudy (solomonzelman):

can you do number 7?

OpenStudy (solomonzelman):

I will give a hint:

OpenStudy (solomonzelman):

You have: AC=DC BC=AD and also the two triangles have another side in common that they share.

OpenStudy (solomonzelman):

So what would your answer be?

OpenStudy (nightmarenight):

SAS

OpenStudy (solomonzelman):

any angles? I don't see any angle congruences given

OpenStudy (solomonzelman):

you have sides: AC=DC BC=AD side AC is shared by 2 triangles

OpenStudy (nightmarenight):

SSS

OpenStudy (solomonzelman):

yes

OpenStudy (nightmarenight):

and for 8 I think it's A

OpenStudy (solomonzelman):

what does CPCTC stand for?

OpenStudy (nightmarenight):

I don't know, actually. @SolomonZelman

OpenStudy (solomonzelman):

I was asking because I didn't know

OpenStudy (nightmarenight):

hm, I didn't read about it in my lessons

OpenStudy (solomonzelman):

`Corresponding Parts of Congruent Triangles are Congruent`

OpenStudy (solomonzelman):

which would it be, do you know?

OpenStudy (nightmarenight):

I think it's A

OpenStudy (solomonzelman):

try to think of having two triangles being congruent respectively (looking at the shape) and look at the options.

OpenStudy (solomonzelman):

firstly, if in options, you see triangles that go into each other, exclude that.

OpenStudy (solomonzelman):

which options can you exclude?

OpenStudy (nightmarenight):

C & D

OpenStudy (nightmarenight):

I think before I meant to say B

OpenStudy (solomonzelman):

so which options do you exclude?

OpenStudy (nightmarenight):

C & D

OpenStudy (solomonzelman):

yes correct

OpenStudy (solomonzelman):

I think it is A, because the corresponding parts are in order there, unlike B

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