Question

Determine which characteristics are true of vertical angles

Answer 1

• They are formed by intersecting lines.
• They are opposite of each other.
• They are congruent.

Explanation:

When two lines intersect then they form two pairs of angles known as vertical angles. They are opposite to each other and have same measure.

i.e. they are congruent.

Hence, the characteristics that are true for vertical angles :

• They are formed by intersecting lines.
• They are opposite of each other.
• They are congruent.

Answer 2

1, 2 and 4 option - Yes

3 option - No

Explanation:

Definition: Vertical angles are the angles opposite each other when two lines cross.

By the definition options

• they are formed by intersecting lines,
• they are opposite to each other

are true.

Vertical Angles Theorem states that vertical angles are congruent. Thus, option

• they are congruent

is true.

Option

• they are always supplementary

is false, because supplementary are angles that add up to 180°, but vertical angles can have different measures which do not add up to 180°.