I need help with my geometry homework ( indirect proofs )

ecavanor

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1.in an indirect proof to prove that m<p > m<q, what is an assumption you must make about m<p and m<q?

2. to prove indirectly that the base angles of an obtuse isosceles triangle must be acute, what is the best first step?A. assume that the vertex angle is acute
B. assume that the base angles are obtuse
C. assume that the base angles are right angles
D. assume that the base angles are not acute

3. prove by contraction/write an indirect proof (preferably 2 column)
given: triangle ABC with exterior <1, adjacent <2, and remote interiors <3 and <4.
prove: m<1 does not = m<4


4.prove by contraction/write an indirect proof
given: equilateral triangle, "triangle" WXY
prove: <X is not a right angle





 
1.in an indirect proof to prove that m<p > m<q, what is an assumption you must make about m<p and m<q?
is it that m<p is 180 degrees or over that? i dont really get how to answer this!
2. to prove indirectly that the base angles of an obtuse isosceles triangle must be acute, what is the best first step?
A. assume that the vertex angle is acute
B. assume that the base angles are obtuse
C. assume that the base angles are right angles
D. assume that the base angles are not acute
i think it is B but im not sure.

3. prove by contraction/write an indirect proof (preferably 2 column)
given: triangle ABC with exterior <1, adjacent <2, and remote interiors <3 and <4.
prove: m<1 does not = m<4

my work so far (idk what to do next)
prove (my contradiction): m<1 = m<4
statements: :reasons
triangle ABC with exterior <1, adjacent <2, and remote interiors <3 and <4:given

4.prove by contraction/write an indirect proof
given: equilateral triangle, "triangle" WXY
prove: <X is not a right angle

(idk what to do next again)
<x is a right angle : contradiction
statements: :reasons
triangle WXY is equilateral :given
 
1.in an indirect proof to prove that m<p > m<q, what is an assumption you must make about m<p and m<q?

2. to prove indirectly that the base angles of an obtuse isosceles triangle must be acute, what is the best first step?A. assume that the vertex angle is acute
B. assume that the base angles are obtuse
C. assume that the base angles are right angles
D. assume that the base angles are not acute

3. prove by contraction/write an indirect proof (preferably 2 column)
given: triangle ABC with exterior <1, adjacent <2, and remote interiors <3 and <4.
prove: m<1 does not = m<4


4.prove by contraction/write an indirect proof
given: equilateral triangle, "triangle" WXY
prove: <X is not a right angle

Is that correct for problem #1?

For problem #2,

do you know the definitions of obtuse and acute angle?

do you know the properties of triangles?

do you know the unique properties of isosceles triangles?

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...217#post322217

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Please share your work with us indicating exactly where you are stuck - so that we may know where to begin to help you.
 
ecavanor,

Can you define w
hat m, p and q are? Do you have a picture, if not, can you describe them in words?

Cheers,
Sai.
 
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