Geography - Proving Lines Parallel assignment

If angle 1 is 110°, what would the other angle measures have to be in order for m || n and q || p?

Angle 2 = 180 Angle 3 = 70 Angle 4 = 70

Which lines are parallel? Justify your answer.

b. Lines p and q are parallel because alternate exterior angles are congruent

Which theorem correctly justifies why the lines m and n are parallel when cut by transversal k?

b. converse of the alternate interior angles theorem

Which diagram shows parallel lines cut by a transversal?

c

Find the values of x and y that make k || j and m || n.

x = 80 y = 130

Letters x, y, and z are angle measures. Which equations would guarantee that lines p and q are parallel? Check all that apply.

x = z x + y = 180°

Given: ∠T ≅ ∠V; ST || UV Prove: TU || VW Complete the two-column proof:

1. Alternate interior angles theorem 2. Transitive property 3. Converse alternate interior angles theorem

Complete the missing parts of the paragraph proof. We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because ________. We see that ______ is congruent to ______ by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the ______.

1. It is Given 2. Angle 2 3. Angle 3 4. converse alternate exterior angles theorem