Question

For questions 1 through 4, use the diagram below.q1O12 11131416 1.51.a.If a || b, then which of the following conjectures is true?If a || b, then angles 3 and 10 are congruent by alternate interior angles.b. If a || b, then angles 3 and 4 are congruent by alternate interior angles theorem.c. If all b, then angle 1 is congruent to angle 9 because corresponding angles are congruent.d If a | b, then corresponding angles 3 and 8 are congruent.2. Which of the following conjectures cannot be made?a. If c ll d, then 4 8 and 4 13 are supplementary.b. If c || d, then 4 9 is congruent to 4 7.c. If c ll d, then 47 is congruent to 413.d. If c || d, then 41 is congruent to 49be made?

Answer 1

For number 1,

If lines a and b are parallel, then angle 3 must be equal to angle 8. Because corresponding angles are equal. So, since they are equal, that means they are congruent.

Hence the answrer is option D.

`\text{If a }\parallel b,\text{ then corresponding angles 3 and 8 are congruent}`