When writing a geometric proof, which angle relationship could be used alone to justify that two angles are congruent?

Vertical angles are always congruent.

Step-by-step explanation:

Vertical angles are always congruent, but congruent angles do not have to be vertical. Any two angles with the same angle measurement are considered congruent by definition.

Imagine (or draw):

an X forming 2 pairs of vertical angles. ∠1 is to the left, ∠2 is on top, ∠3 is to the right, and ∠4 is on the bottom. Vertical angles are always congruent because ∠1 and ∠2 are supplementary, meaning that their measures add to 180 degrees. The measures of ∠2 and ∠3 also add to 180 degrees. This means that:

m∠1+m∠2=180 and m∠2+m∠3=180.

Using the Transitive Property, it becomes m∠1+m∠2=m∠2+m∠3.

If you subtract the measure of ∠2 from both sides,

it becomes m∠1=m∠3

d is the correct answer

step-by-step explanation:

x= 8 because 3x = 3 * 8, and 3*8 = 24

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.