Help with proofs?? 1) Given: angle N and angle Q are right angles; line NO is congruent to line PQ Prove: ∆ONP is congruent to ∆PQO Statements: 1. Angle N and angle Q are right angles. 2. Angle ONP is congruent to angle PQO 3. ∆ONP and ∆PQO are right triangles 4. Line OP is congruent to line PO 5. Line NO is congruent to line PQ 6. Reasons: 1. Given 2. 3. Def. Of right ∆ 4. Reflexive property 5. 6. Please help?
my fist thing when it comes to geometry is always, draw a picture. Can you please do so? then we can examine the proof
Here, I took a picture of the worksheet.
ok so, can you draw it here? we will need to draw on it
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cool, now, label your given
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now, justify number two, or tell me what it means, which angle does it refer to?
Uhm. Would it be Right Angles are congruent?
well, it's actually just given right? 90 deg=90deg. But if you say right angles are congruent, go with that
(common core has modified so much math terminology)
Yea, my teacher gave us a sheet with all these theorems, properties and definitions. I'm trying to match them up but some of them are confusing.
it's cool. Ok but yea, all right angles are congruent
so next 3 right?
any ideas?
Well that one I just had to fill in a blank. 4 is pretty easy so now it's just 5.
well, and 6
k let's see
so, what features do we know are the same between the triangles?
or what do we know about angle NOQ? and the one oposite that
They're right triangles.
uhm more in detail, do we know any sides are congruent?
Line NO and PQ. And OP and PO
how about the hyp?
also, you can actually do this proof in two steps
it's called hyp, leg
Oh yea. We just learned that today.
uh actually I think that's what they were getting at here
Okay. So that would be Hyp. Leg or would that be 6?
well.. 6 is redundant
because 5 was in your given
ohh okay.
yea, so the whole prrof wasnt really necessary... weird
Yea. They just like to make things complicated haha
indeed.
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