The figure shows two intersecting lines.
Information
A figure shows 2 lines intersecting to form 4 angles. Starting from the leftmost angle and going clockwise, the angles are labeled: 1, 2, 3, unlabeled.
Question
Move words to the blanks and equations to the boxes to prove that vertical angles angle 1 and angle 3 are congruent.
Response area with 5 blank spaces
Because linear pairs of angles are
Blank space 2 empty
,
Blank space 3 empty
and
Blank space 5 empty
.
Because angles that are
Blank space 7 empty
to the same angle are
Blank space 8 empty
, it can be concluded that angle 1 is congruent to angle 3.
Answer options with 5 options.
Because linear pairs of angles are adjacent angles,
angle 1 and angle 2 are a linear pair,
angle 2 and angle 3 are a linear pair,
and angle 3 and angle 4 are a linear pair.
Because angles that are adjacent to the same angle are congruent, it can be concluded that angle 1 is congruent to angle 3.