Question

Two parallel lines, m and n, are intersected by a transversal line. The eight angles formed are labeled 1 through 8.
Which angles are congruent to ∠4
?

(1 point)
Responses

∠2
is congruent to ∠4
.
angle 2 is congruent to angle 4 .

∠1
, ∠5
and ∠8
are congruent to ∠4
.
angle 1 , angle 5 and angle 8 are congruent to angle 4 .

∠5
is congruent to ∠4
.
angle 5 is congruent to angle 4 .

∠1
is congruent to ∠4
.

Answer 1

∠1, ∠5, and ∠8 are congruent to ∠4.

Reason: With parallel lines cut by a transversal, an angle is congruent to its vertical angle, its corresponding angle at the other intersection, and the vertical of that corresponding angle — which here are ∠1, ∠5, and ∠8.