Adjacent Angles and Vertical Angles

Front

What are adjacent angles?

Back

Adjacent angles are two angles that share a common side and a common vertex, but do not overlap.

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal in measure.

Front

If two angles are vertical angles, what can we say about their measures?

Back

Vertical angles are congruent, meaning they have equal measures.

Front

What is the sum of the measures of adjacent angles that form a straight line?

Back

The sum of the measures of adjacent angles that form a straight line is 180 degrees.

Front

If ∠AOB and ∠BOC are adjacent angles, what can you say about their measures?

Back

The measures of ∠AOB and ∠BOC can be added together to find the measure of ∠AOC, which is a straight angle.

Front

What is the relationship between vertical angles?

Back

Vertical angles are always equal in measure.

Front

If ∠COB = 37 degrees, what is the measure of ∠AOD if they are vertical angles?

Back

∠AOD = 37 degrees, since vertical angles are congruent.

Front

Which pairs of angles are vertical angles? ∠COB & ∠COA, ∠AOD & ∠AOC, ∠COB & ∠AOD, ∠BOD & ∠AOD?

Back

∠COB & ∠AOD are vertical angles.

Front

What does it mean for angles to be congruent?

Back

Angles are congruent when they have the same measure.

Front

If ∠CXD and ∠FXE are adjacent angles, what does that imply?

Back

It implies that they share a common vertex and a common side.