Angle Basics
This type of angle measures exactly 90 degrees
What is a right angle?
In geometric constructions, this tool is used specifically to draw circles and arcs
What is a compass?
The two angles that measures exactly 90 degrees, often called a "right angle"
What is a complementary angle?
This is a line that intersects two or more other parallel lines, creating pairs of congruent or supplementary angles
What is a transversal?
This is the sum, in degrees, of the three interior angles of any triangle
What is 180 degrees?
the term for an angle that measures more than 90 degrees but less than 180 degrees
What is an obtuse angle?
This construction is being drawn when you place a compass at one endpoint, adjust the radius to more than half the segment length, and draw arcs above and below the line from both endpoints
What is a perpendicular bisector?
These are two angles whose measures add up to exactly 180 degrees
What are supplementary angles?
These angles are in the same "corner" or relative position at each intersection where a transversal crosses parallel lines.
Same side of the transversal and parallel line
What is a corresponding angle?
In this specific type of triangle, at least two sides are of equal length, and the base angles are also equal
What is an isosceles triangle?
This type of angle forms a perfectly flat line and measures exactly 180 degrees
What is a straight angle?
This construction is when two rays with intersecting arcs in the middle, divides a single angle into two equal parts
What is an angle bisector?
Formed by intersecting lines, these angles are across from each other and are always congruent
What is a vertical angle?
These angles are on opposite sides of the transversal and tucked inside the parallel lines
What is an alternate interior angle?
This theorem states that the measure of an exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles
What is the exterior angle theorem?
An angle that is "sharp" and measures greater than 0 degrees but less than 90 degrees is known as this
What is an acute angle?
This figure is constructed by using the length of a given line segment as your compass radius and drawing intersecting arcs from both endpoints to find a third vertex, ensuring all sides are equal and all angles measure 60 degrees
What is an equilateral triangle?
These angles share a common vertex and side, but have no common interior points
What is an adjacent angle?
These angles are on the same side of the transversal and inside the parallel lines; they are supplementary
What is consecutive/same-side interior angle?
Each angle in this type of triangle has a measure equal to exactly 60 degrees?
What is an equilateral triangle?
This is the total number of degrees in a complete rotation of a circle
What is 360 degrees?
This construction is being performed when a compass is placed on a point L that is not on a line, and arcs are drawn to intersect the line at two points, typically labeled A and B
What is a perpendicular bisector through a point NOT on the line?
This is the name for an extra line drawn into a diagram to help solve for unknown angles
What is an auxiliary line?
If parallel lines are cut by a transversal, these angles are on opposite sides of the transversal and located outside the parallel lines
What is an alternate exterior angle?
To find the missing third angle of a triangle when two are already known, you must first add the known angles and then do this
What is subtract the sum from 180?