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Mathematics 19 Online
OpenStudy (anonymous):

will give medal for explanation

OpenStudy (misssunshinexxoxo):

Yes?

OpenStudy (anonymous):

OpenStudy (anonymous):

According to the given information, segment AB is parallel to segment DC and segment BC is parallel to segment AD.. Construct diagonal A C with a straightedge. It is congruent to itself by the Reflexive Property of Equality. ________________. Angles BCA and DAC are congruent by the same reasoning. Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA) Theorem. By CPCTC, opposite sides AB and CD, as well as sides BC and DA, are congruent. Which sentence accurately completes the proof? Angles ABC and CDA are corresponding parts of congruent triangles, which are congruent (CPCTC). Angles ABC and CDA are congruent according to a property of parallelograms (opposite angles congruent). Angles BAC and DCA are congruent by the Same-Side Interior Angles Theorem. Angles BAC and DCA are congruent by the Alternate Interior Angles Theorem.

OpenStudy (misssunshinexxoxo):

Which do you believe it is?

OpenStudy (anonymous):

so which choice would fill in the blank, basically.

OpenStudy (misssunshinexxoxo):

Point is that this is a proof; do you know all the terms?

OpenStudy (anonymous):

no. but would you cross out the last option?

OpenStudy (anonymous):

i think so because there are not interior angles

OpenStudy (misssunshinexxoxo):

Aren't the opposite sides congruent?

OpenStudy (anonymous):

yes

OpenStudy (misssunshinexxoxo):

B makes the most sense

OpenStudy (anonymous):

yeah now that i look at it its seems the most correct

OpenStudy (anonymous):

u sure?

OpenStudy (misssunshinexxoxo):

That is a parallelogram

OpenStudy (anonymous):

yeah it does seem like it applies most. thanks :)) @misssunshinexxoxo

OpenStudy (misssunshinexxoxo):

Cheers and geometry is a tough subject. Just tackle it and don't struggle. Analyze what doesn't make sense and rule it out! :D

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