Given:
AB | | CD
AD | | CB

Prove :
AD = CB

Which of the following statements would complete the proof?

<1 = <2 and <3 = <4

<1 = <3 and <2 = <4

<1 = <4 and <2 = <3

Given AB CD AD CB Prove AD CB Which of the following statements would complete the proof lt1 lt2 and lt3 lt4 lt1 lt3 and lt2 lt4 lt1 lt4 and lt2 lt3 class=

Respuesta :

Answer:

C. <1 = <4 and <2 = <3

Step-by-step explanation:

When two lines are parallel, the angles that are formed have certain properties.

There is a pair of angles in particular called alternate interior angles; these are basically the angles within the parallel lines. They are always equal to each other. Here, we will use the fact that AB || CD.

AB and CD create the angles 1 and 4. Angles 1 and 4 are alternate interior angles, so they are equal: <1 = <4

Similarly, we need to use the fact that AD || CB. These two parallel lines create the angles 2 and 3. We can see that because these two angles are "within"/formed by the parallel lines, they are alternate interior so they equal: <2 = <3.

Thus, the answer is C.

Hope this helps! (Sorry about the delay!!)

Answer:

Third one

<1 = <4 and <2 = <3

Step-by-step explanation:

When two parallel lines form a Z shape, we call the angles at the vertices of Z to be alternate interior angles, which are equal