## anonymous one year ago will give medal for explanation

1. misssunshinexxoxo

Yes?

2. anonymous

3. 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.

4. misssunshinexxoxo

Which do you believe it is?

5. anonymous

so which choice would fill in the blank, basically.

6. misssunshinexxoxo

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

7. anonymous

no. but would you cross out the last option?

8. anonymous

i think so because there are not interior angles

9. misssunshinexxoxo

Aren't the opposite sides congruent?

10. anonymous

yes

11. misssunshinexxoxo

B makes the most sense

12. anonymous

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

13. anonymous

u sure?

14. misssunshinexxoxo

That is a parallelogram

15. anonymous

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

16. 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