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Mathematics 9 Online
OpenStudy (anonymous):

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?

OpenStudy (fibonaccichick666):

my fist thing when it comes to geometry is always, draw a picture. Can you please do so? then we can examine the proof

OpenStudy (anonymous):

Here, I took a picture of the worksheet.

OpenStudy (fibonaccichick666):

ok so, can you draw it here? we will need to draw on it

OpenStudy (anonymous):

|dw:1414114781753:dw|

OpenStudy (fibonaccichick666):

cool, now, label your given

OpenStudy (anonymous):

|dw:1414115497809:dw|

OpenStudy (fibonaccichick666):

now, justify number two, or tell me what it means, which angle does it refer to?

OpenStudy (anonymous):

Uhm. Would it be Right Angles are congruent?

OpenStudy (fibonaccichick666):

well, it's actually just given right? 90 deg=90deg. But if you say right angles are congruent, go with that

OpenStudy (fibonaccichick666):

(common core has modified so much math terminology)

OpenStudy (anonymous):

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.

OpenStudy (fibonaccichick666):

it's cool. Ok but yea, all right angles are congruent

OpenStudy (fibonaccichick666):

so next 3 right?

OpenStudy (fibonaccichick666):

any ideas?

OpenStudy (anonymous):

Well that one I just had to fill in a blank. 4 is pretty easy so now it's just 5.

OpenStudy (anonymous):

well, and 6

OpenStudy (fibonaccichick666):

k let's see

OpenStudy (fibonaccichick666):

so, what features do we know are the same between the triangles?

OpenStudy (fibonaccichick666):

or what do we know about angle NOQ? and the one oposite that

OpenStudy (anonymous):

They're right triangles.

OpenStudy (fibonaccichick666):

uhm more in detail, do we know any sides are congruent?

OpenStudy (anonymous):

Line NO and PQ. And OP and PO

OpenStudy (fibonaccichick666):

how about the hyp?

OpenStudy (fibonaccichick666):

also, you can actually do this proof in two steps

OpenStudy (fibonaccichick666):

it's called hyp, leg

OpenStudy (anonymous):

Oh yea. We just learned that today.

OpenStudy (fibonaccichick666):

uh actually I think that's what they were getting at here

OpenStudy (anonymous):

Okay. So that would be Hyp. Leg or would that be 6?

OpenStudy (fibonaccichick666):

well.. 6 is redundant

OpenStudy (fibonaccichick666):

because 5 was in your given

OpenStudy (anonymous):

ohh okay.

OpenStudy (fibonaccichick666):

yea, so the whole prrof wasnt really necessary... weird

OpenStudy (anonymous):

Yea. They just like to make things complicated haha

OpenStudy (fibonaccichick666):

indeed.

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