Question

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.

Answer 1

I need help please these are the answer choices

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

Answer 2

do you have a figure of it?

Answer 3

Yes just sent it

Answer 4

need help please ive been stuck on this forver

Answer 5

okay. when it said it angle BCA which mean you must have intersection in it, right?

Answer 6

yes

Answer 7

so it should look like this when you read the very next instuctions :

Answer 8

i believe so

Answer 9

triangle BCA and DAC share a same side: AC

Answer 10

and angle A and C so it is ASA

Answer 11

angle side angle is angle A and C?

Answer 12

okay, look at the figure, you see triangle ABC and CDA have :
they both share AC and angle A and C right? so it should be ASA
may i ask that you're trying to fill in the blank?

Answer 13

think this figure is parallelogram

Answer 14

opposite sides of a parallelogram are congruent so it should be ASA ( it had given in the instuctions).

Answer 15

@Leong what was the anwser

Answer 16

@AllisonRoyal do you know

Answer 17

@princesssleelee

Answer 18

What's The question?

Answer 19

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.

Answer 20

There is a photo 1 moment