Question

HELP ASAP 98 points and brainliest
Look at the parallelogram ABCD shown below: The table below shows the steps to prove that if the quadrilateral ABCD is a parallelogram, then its opposite sides are congruent:

Statement Reasons 1 AB is parallel to DC and AD is parallel to BC Definition of parallelogram 2

angle 1 = angle 2, angle 3 = angle 4 If two parallel lines are cut by a transversal then the _______________ are congruent 3

BD = BD Reflexive Property 4

triangles ADB and CBD are congruent If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle then the triangles are congruent by ASA postulate 5

AB = DC, AD = BC Corresponding parts of congruent triangles are congruent

Which choice completes the missing information for reason 2 in the chart?

alternate interior angles

corresponding angles

same-side interior angles

vertical angles

Answer 1

I need to see where angle 1 2 3 and 4 are. Can u send a pic of the parallelogram. I’m assuming it’s alternate interior angles but I need to see a picture of the parallelogram to make sure.

Answer 2

Answer:

The correct option is 1.

Step-by-step explanation:

Statement 1: AB is parallel to DC and AD is parallel to BC.

Reason: Definition of parallelogram

Statement 2:  ∠1 = ∠2, ∠3 = ∠ 4.

Reason: If two parallel lines are cut by a transversal then the alternate interior angles are congruent.

Statement 3: BD = BD.

Reason: Reflexive Property.

Statement 4: ΔADB≅ΔCBD.

Reason: If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle then the triangles are congruent by ASA postulate.

Statement 5: AB = DC, AD = BC.

Reason: Corresponding parts of congruent triangles are congruent.

The missing information for reason 2 in the chart is alternate interior angles .

Therefore the correct option is 1.