Question

Which is enough information to prove that u||v

Answer 1

You should choose B

Answer 2

Answer:

B. $\angle 4\cong \angle 8$

Step-by-step explanation:

We have been given an image of two lines u and v. A transversal t intersects these lines. We are asked to choose the correct option that will prove that line u is parallel to line v.

A. $\angle 2\cong \angle 4$

Since angle 2 and 4 are vertical angles and vertical angles can be formed by any two lines, therefore, option A is not correct choice.

B. $\angle 4\cong \angle 8$

Since the corresponding angles of two parallel lines are equal. We can see that angle 4 is corresponding angle of angle 8, therefore, option B is correct choice.

C. $\angle 6+\angle 7=180^o$

Since angle 6 and 7 are formed by line v and transversal t, and these angles does not include line u, therefore, option C is not correct choice.

D. $\angle 3+\angle 4=180^o$

Since angle 3 and 4 are formed by line u and transversal t, and these angles does not include line v, therefore, option D is not correct choice.