Unit 1
What is a Polygon ?
a two-dimensional figure with three or more sides.
What is Inductive Reasoning ?
It allows us to reach a conclusion based on the pattern of the given information.
How do you prove two lines are parallel ?
When a transversal intersects them
What is the interior angle of regular 24-gon ?
165 degrees
What is a midsegment ?
A midsegment is a segment connecting the midpoints of two sides of a triangle
What is a midpoint ?
a point that divides the segment into two congruent segments.
What is counterexample ?
an example that indicates that a statement is not true
What is the sum of the measures of the angles of a triangle ?
180 degrees
What is the sum of the interior angles of a regular 18-gon ?
2880 degrees
What is a equidistant ?
To be the same or equal distance apart
what is the name of the largest angle ?
Straight angle
What is a Vertical Angle Theorem ?
It states that vertical angles are congruent if they have the same measure
How do you write an equation of a line in the coordinate plane?
y = m x + b
How can you find the sum of the measures of polygon ?
(n-2)x180
Occurring or existing at the same time. Is what in Geometry ?
Concurrent
What are adjacent angles ?
Angles that are next to each other
If a conditional statement ("if p, then q") is true, and the hypothesis (p) is also true, then the conclusion (q) must be true as well. What law is this ?
Law of Detachment
What is a skew ?
two lines that do not intersect
How can you classify quadrilaterals?
by looking at the properties of their sides and angles
What is the Hinge theorem ?
if two triangles have two pairs of congruent sides, the triangle with the larger included angle will have a longer third side
What does the addition postulate state ?
<AOC, then m<AOB + m<BOC = m<AOC
What is a tool you can use to analyze statements produced from inductive or deductive reasoning.
A Venn Diagram
What is the difference between Alternate interior angles and Consecutive interior angles ?
alternate interior angles are on opposite sides of the transversal while consecutive interior angles are on the same side of the transversal
How can you use coordinate geometry to prove general relationships ?
assign variables to the coordinates of key points on a figure, then use formulas like the distance formula, midpoint formula, and slope formula to demonstrate the desired relationship algebraically
a special type of average where we multiply n numbers together and then take the nth root of those numbers. Is know as what ?
The Geometric Mean