Using the figure above, which theorem can you prove that m∠1 = m∠2? explain your answer.

If two lines are cut by a transversal such that alternate exterior angles are congruent, then the lines are parallel.

Step-by-step explanation:

Start by stating that the given angles are congruent.

Call the angle vertical to angle 1 "angle 3."

Then angle 3 and angle 1 are congruent by vertical angles.

Angle 3 and angle 2 are congruent by transitive congruence of angles.

That makes lines u and v parallel by congruent corresponding angles of two lines and a transversal.

Answer

You can prove the following theorem:

If two lines are cut by a transversal such that alternate exterior angles are congruent, then the lines are parallel.

  or  

step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or  

"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.