32 Questions
What is the sum of angles that form on a straight line?
180°
What is the name of the angles that add up to 180°?
Supplementary angles
What is the formula for angles on a straight line?
∅1 + ∅2 + ∅3 = 180°
What is the definition of vertically opposite angles?
Angles that are opposite each other when two lines intersect
What is the property of vertically opposite angles?
They are always equal
What is a transversal in geometry?
A line that intersects at least two other lines
What type of angles are formed when a transversal intersects two parallel lines?
Alternate interior and corresponding angles
What is the relationship between corresponding angles when two lines are parallel?
They are equal
If two lines are perpendicular, what are the measures of their adjacent supplementary angles?
90° and 90°
In the diagram below, ∠a and ∠c are vertically opposite angles. What is the value of ∠a?
70°
If two parallel lines are intersected by a transversal, what can be said about the corresponding angles?
They are equal
What type of angles are ∠d and ∠f in the diagram below?
Alternate interior angles
In the diagram below, if ∠a = 60°, what is the value of ∠e?
60°
What type of angles are ∠c and ∠g in the diagram below?
Corresponding angles
If two lines are parallel and intersected by a transversal, what can be said about the co-interior angles?
They are supplementary
What is the relationship between ∠d and ∠f in the diagram below?
They are equal
If two lines are intersected by a transversal, and the corresponding angles are equal, what can be said about the lines?
The lines are parallel
If two lines intersect, and the vertically opposite angles are not equal, what can be said about the lines?
The lines are skew
In the diagram below, if ∠a and ∠c are supplementary, what is the value of ∠d?
90°
If two lines are intersected by a transversal, and the alternate interior angles are supplementary, what can be said about the lines?
The lines are parallel
In the diagram below, if ∠a and ∠e are corresponding angles, and ∠a = 60°, what is the value of ∠d?
120°
If two lines intersect, and the adjacent supplementary angles are not equal, what can be said about the lines?
The lines are not perpendicular
In the diagram below, if ∠a and ∠c are vertically opposite angles, and ∠a = 60°, what is the value of ∠e?
60°
If two lines are intersected by a transversal, and the co-interior angles are not supplementary, what can be said about the lines?
The lines are not parallel
What is the relationship between two angles that form a straight line?
They are always supplementary.
If two lines intersect, what can be said about the vertically opposite angles?
They are always equal but not necessarily supplementary.
What type of angles are formed when two parallel lines are intersected by a transversal?
All of the above types of angles.
If two lines are intersected by a transversal, and the corresponding angles are equal, what can be said about the lines?
They are always parallel.
What is the relationship between the alternate interior angles when two parallel lines are intersected by a transversal?
They are always equal but not necessarily supplementary.
What type of angles are formed when two lines intersect, but not at a right angle?
Only supplementary angles.
If two lines are intersected by a transversal, and the co-interior angles are supplementary, what can be said about the lines?
They are always parallel.
What is the relationship between the adjacent supplementary angles when two lines intersect at a right angle?
They are always equal and 90°.
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