Question

If Angle 8 is congruent to angle 10 and Angle 1 is congruent to angle 7, which describes all the lines that must be parallel?

Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16.
Only lines r and s must be parallel.
Only lines t and u must be parallel.
Lines r and s and lines t and u must be parallel.
Neither lines r and s nor lines t and u must be parallel.

Answer 1

Lines r and s must be parallel as angle 1 is congruent to angle 7 and angle 8 is congruent to angle 10, indicating that they are alternate interior angles when lines t and u are the transversals.

Step-by-step explanation:

To determine which lines must be parallel, we will use the information provided: Angle 8 is congruent to angle 10, and angle 1 is congruent to angle 7. These types of angles are known as alternate interior angles, which are equal if the lines are parallel to each other when crossed by a transversal.

In this scenario, because angle 1 is congruent to angle 7, it suggests that line t is a transversal crossing parallel lines r and s. Similarly, angle 8 being congruent to angle 10 suggests that line u is a transversal crossing the same parallel lines r and s. Therefore, lines r and s must be parallel. There is not enough information provided to determine the relationship between lines t and u so we cannot conclude that they are parallel.

Answer 2

C

Step-by-step explanation:

ive done the test b4