Basics of Geometry
A 2-dimensional surface
What is a plane?
A logical statement that has a hypothesis and a conclusion. For example, p --> q
What is a conditional statement?
Two angles formed by two lines and a transversal that are outside the two lines and are on opposite sides of the transversal
What is alternate exterior angles?
A transformation that enlarge or reduce the size of a figure
What is a dilation?
This triangle contains no congruent sides
What is scalene triangle?
An angle that has a measure of 180 degrees
What is a straight angle?
A statement that contains the phrase "if and only if"
What is a biconditional statement?
If two lines are cut by a transversal so the consecutive interior angles are supplementary, then the lines are parallel
What is consecutive interior angles converse?
Figure translates (slides) around
What is translation?
This triangle contains one right angle
What is a right triangle?
Two angles whose measure has a sum of 180 degrees
What is a supplementary angle?
Not p
What is a negation?
A line that is perpendicular to a segment at its midpoint
Figure rotates (turns) a certain amount of degrees counter-clockwise (ccw) or clockwise (cw) about a center of rotation
What is rotation?
This statement describes the correspondence and congruence between two polygons.
What is a congruence statement?
Algebraic expression that gives the distances between pairs of points in terms of their coordinates
What is distance formula?
A form that shows an argument in a logical order with statements and corresponding reasons.
What is a two-column proof?
The rate of change between any two points on a line
What is slope?
(x, y) -> (-x, y)
What is reflection across the y-axis?
This triangle is both equilateral and equiangular
What is a regular triangle?
A point, ray, line, line segment, or plane that intersects the segment at its midpoint.
What is a segment bisector?
If p implies q is true and q implies r is true, we can conclude that p implies r is also true.
What is the law of syllogism?
The perpendicular segment from the point to the line.
What is the distance (or shortest distance) from a point to a line?
A transformation that preserves length and angle measure.
What is a rigid motion (or rigid motion transformation)?
The theorem where the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
What is the Triangle Inequality Theorem?