Geometry questions???? Will fan and give medal for help???? Attached below
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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
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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?
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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?
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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
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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?
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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?
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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
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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?
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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
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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
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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.
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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
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OpenStudy (solomonzelman):
yes correct
OpenStudy (solomonzelman):
I think it is A, because the corresponding parts are in order there, unlike B