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Geometry 20 Online
OpenStudy (hedgehog):

Which theorem or postulate would be used to prove XYV WZV?

OpenStudy (hedgehog):

OpenStudy (mathstudent55):

What parts of one triangle do you have that are congruent to corresponding parts of the other triangle, and in what order?

OpenStudy (mathstudent55):

By parts I mean sides and angles.

OpenStudy (hedgehog):

it doesn't say

OpenStudy (mathstudent55):

Look in the figure.

OpenStudy (mathstudent55):

Is side YV congruent to a side of the other triangle?

OpenStudy (hedgehog):

i don't get you . sorry

OpenStudy (mathstudent55):

Is side XV congruent to a side of the other triangle? Is angle YVX congruent to an angle of the other triangle?

OpenStudy (hedgehog):

yea

OpenStudy (mathstudent55):

Ok, I'll start from the beginning and will go slowly. Look at triangle VXY. It has 3 sides. They are called side YX, side XV, and side YV. So far ok?

OpenStudy (hedgehog):

yea

OpenStudy (mathstudent55):

Now look closely at the right triangle. It also has 3 sides. They are side VW, side WZ and side VZ. Ok?

OpenStudy (hedgehog):

ok

OpenStudy (mathstudent55):

Now, do you notice that side YV and side VZ each has a little mark on it?

OpenStudy (mathstudent55):

@hedgehog Are you still there?

OpenStudy (hedgehog):

yea sorry

OpenStudy (hedgehog):

i gotta go now . bye my friend

OpenStudy (mathstudent55):

bye

OpenStudy (mathstudent55):

The single small marks on thoses sides mean those sides are congruent. The double small marks on sides XV and VW mean those two sides are congruent. The angle marks on angle YVX and angle ZVW mean the angles are congruent. You have a Side, and Angle, and a Side of one triangle congruent in that order to corresponding parts of another triangle. That's what allows you to conclude the triangles are congruent.

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