Question

The following is an incomplete paragraph proving that the opposite sides of parallelogram ABCD are congruent:

Answer 1

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 BAC and DCA are congruent by the Alternate Interior Angles Theorem. Angles BCA and DAC are congruent by the same theorem. __________. By CPCTC, opposite sides AB and CD, as well as sides BC and DA, are congruent.

Which sentence accurately completes the proof?

Answer 2

A. Triangles BCA and DAC are congruent according to the Angle-Angle-Side (AAS) Theorem.

B. Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA) Theorem.

C. Angles ABC and CDA are congruent according to a property of parallelograms (opposite angles congruent).

D. Angles BAD and ADC, as well as angles DCB and CBA, are supplementary by the Same-Side Interior Angles Theorem.

Answer 3

@silveralchemist09

Answer 4

Anyone help?

Answer 5

use similaritie of triangles formed by diagonales

Answer 6

i dont get it? @jhonyy9

Answer 7

so it would be C then?

Answer 8

opposite sides of a parallelogram are congruent - yes ?
i think you are right - this make sens to me too

Answer 9

are u sure commander? because i dont want to get it wrong. and thank you so much.

Answer 10

there again what you can write it that are right - so what will be the best - you need select from - yes ?

Answer 11

i really think its c.

Answer 12

yes i agree it because from this that opposite angles are congruent so from this result opposite sides congruent - i think - so exactly what you need to prove it - yes ?

Answer 13

could u help me with one more?? @jhonyy9

Answer 14

but first of all just than you will tel me what mean exactly these words what you have sent me 2 or 3 time in your message