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Mathematics 15 Online
OpenStudy (anonymous):

CAN SOMEONE PLEASE HELP ME I'M ONLY ASKING FOR ONE QUESTION FAN AND MEDAL GUYS

geerky42 (geerky42):

ok ask question, man.

OpenStudy (anonymous):

Alright

OpenStudy (anonymous):

The figure below shows a quadrilateral ABCD. Sides AB and DC are equal and parallel:

OpenStudy (anonymous):

A student wrote the following sentences to prove that quadrilateral ABCD is a parallelogram: Side AB is parallel to side DC so the alternate interior angles, angle ABD and angle CDB, are congruent. Side AB is equal to side DC and DB is the side common to triangles ABD and BCD. Therefore, the triangles ABD and BCD are congruent by SAS postulate. By CPCTC, angles DBC and ADB are congruent and sides AD and BC are congruent. Angle DBC and angle ADB form a pair of vertical angles which are congruent. Therefore, AD is parallel and equal to BC. Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel. Which statement best describes a flaw in the student's proof? Triangles ABD and BCD are congruent by the SSS postulate. Triangles ABD and BCD are congruent by the AAS postulate. Angle DBC and angle ADB form a pair of corresponding angles which are congruent. Angle DBC and angle ADB form a pair of vertical angles which are congruent.

OpenStudy (anonymous):

@geerky42

OpenStudy (anonymous):

@whpalmer4

OpenStudy (anonymous):

Let me start off by saying that it doesn't include a or b

OpenStudy (whpalmer4):

what does corresponding angles mean to you?

OpenStudy (anonymous):

When two lines are crossed by another line (called the Transversal): The angles in matching corners are called Corresponding Angles.

OpenStudy (whpalmer4):

and does it seem like that is the situation here?

OpenStudy (anonymous):

But it's already too late I got it wrong

OpenStudy (anonymous):

The situation looked like it did

OpenStudy (anonymous):

pretty hard to tell the difference between verticle

OpenStudy (whpalmer4):

only the angles with matching letters are corresponding, right? |dw:1399528903087:dw|

Miracrown (miracrown):

Is the first statement included in what the student wrote? What postulate did the student use to prove triangles ABD and BCD congruent?

OpenStudy (anonymous):

Yes Whpalmer and I don't think so Mira

OpenStudy (anonymous):

This was the only question I got wrong simply because I don't really understand it

OpenStudy (whpalmer4):

yeah, DBC and ADB are congruent because they are alternate interior angles, not because they are corresponding angles

OpenStudy (anonymous):

Oh so that would be d?

OpenStudy (whpalmer4):

Yeah, I guess D is the right one — those aren't vertical angles because they aren't made by two lines crossing. They are congruent to a pair of vertical angles, but that's not what the proof states...

OpenStudy (whpalmer4):

I never much liked geometry proofs, and it's been a long time since 1978 or so...

OpenStudy (anonymous):

Lol alright better luck next time

OpenStudy (anonymous):

the correct answer is C DB is congruent to DB by transitive property. i just took the test

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