Question

Carlos draws a transversal, t, on two parallel lines AB and CD, as shown below.



He makes the following table to prove that the alternate interior angles are equal.

Statement Justification
angle 1 = angle 5 Corresponding angles of parallel lines are congruent.
angle 1 = angle 3 ?
angle 3 = angle 5 transitive property of equality,
angle 1 =angle 5,
angle 1 = angle 3,
therefore angle 3 = angle 5

Answer 1

Which is the missing justification?
Answer Vertical angles formed by two intersecting segments are congruent.
Adjacent angles formed by two intersecting segments are supplementary.
Opposite exterior angles are congruent when parallel lines are intersected by a transversal.
Opposite interior angles are congruent when parallel lines are intersected by a transversal.

Answer 2

Angles 1 and 3 are vertical angles, which are congruent by theorem.

Answer 3

thank you : )

Answer 4

so its a ?

Answer 5

wait no D

Answer 6

Have faith in your judgement here. You can read and get the answer. What terminology did I use in my answer above? Which of your multiple choice answers has that same terminology? Think!!

Answer 7

is it D ? haha since they are like interior ?

Answer 8

Not interior. Vertical.

Answer 9

darn i was right in the first place !

Answer 10

Vertical angles "point" at one another.

Answer 11

gotcha thanks alot : )

Answer 12

No sweat.

Answer 13

Lol we are both craming virtual school in the last week :p

Answer 14

^^^^^^^^^^^ yes.

Answer 15

ok so is the answer D er A @tahtah99

Answer 16

Vertical angles is the answer