Points, Lines, & Planes
What is the term for a location with no size or dimension?
A point
What is an acute angle?
An angle that is less than 90 degrees
What are parallel lines?
Lines in the same plane that never intersect
State the Vertical Angles Theorem.
Vertical angles are always equal.
Solve for x if angle A and angle B are complementary and angle A is 30 degrees.
x = 60 degrees
Define a line in geometric term
A line is a straight path that extends infinitely in both directions with no thickness.
Define an obtuse angle.
An angle that is greater than 90 degrees but less than 180 degrees
Define a transversal.
A line that crosses at least two other lines
What is the definition of a perpendicular line?
Lines that intersect to form right angles
If two angles form a linear pair and one angle is 45 degrees, what is the other angle?
135 degrees
What is a plane?
A plane is a flat, two-dimensional surface that extends infinitely in all directions.
What is a right angle?
An angle that is exactly 90 degrees
What are corresponding angles?
Angles that are in the same position on two different parallel lines cut by a transversal
Explain the Angle Addition Postulate.
If a point lies inside an angle, the sum of the two smaller angles formed is equal to the larger angle.
Find the value of x if two alternate interior angles are equal and x + 15 = 75.
x = 60
How many points are required to define a plane?
Three non-collinear points
What is the sum of angles in a triangle?
180 degrees
What is the Alternate Interior Angles Theorem?
If two parallel lines are cut by a transversal, then each pair of alternate interior angles is equal.
Define supplementary angles
Two angles whose measures add up to 180 degrees
In a transversal, if angle 1 measures 120 degrees, what is the measure of its corresponding angle?
120 degrees
What are collinear points?
Points that lie on the same line
Define a linear pair of angles.
Two adjacent angles whose non-common sides form a line
What are consecutive interior angles?
Interior angles on the same side of the transversal
What is the Reflexive Property of Equality?
A quantity is equal to itself, a = a
Given two parallel lines and a transversal, if one of the consecutive interior angles is 70 degrees, what is the measure of the other angle?
110 degrees