Inductive Reasoning
A conclusion you reach by using inductive reasoning.
This is how you name a point.
With a capital printed letter.
A postulate (or axiom) is an accepted statement of what?
Fact
2 statements joined by a condition are called:
If-Then statements.
What is the formula for the area of a rectangle, and how do we express our units in these types of problems?
A = (l)(w)
units2
This is how we show a conjecture is false.
By using a counterexample
Rays are named by:
Exactly 2 points (1 point must be the endpoint which will be listed first, and the other can be any other point on the ray) with the proper ray notation above them.
If 2 lines intersect, they intersect where?
At exactly 1 point.
We associate "if" with:
the hypothesis.
How do you find the perimeter of a shape?
Add up all of its side lengths since it is the distance around the figure.
Show that this statement is false:
The sum of two numbers is always greater than both numbers.
Zero added to any number will prove this to be wrong! A negative number added to a positive number will show this is false as well.
Segments are named by:
Exactly 2 points on the segment with the proper segment notation (bar) above them.
Through any 3 noncollinear points, there exists what?
Exactly one plane.
We associate "then" with:
the conclusion.
Collinear points are:
Points on the same line.
Determine the pattern!
297, 99, 33, 11,...
The pattern is division by 3.
A line is named by: (2 ways)
A lowercase script letter, or exactly two points on the line with the proper line notation above them.
Through any two points, there are how many lines?
Exactly one.
Is the converse of a statement always true?
NO!
T/F: To find the area of a parallelogram, we use the same formula that we do to find the area of a rectangle.
False!
Determine the next two terms in the sequence:
1, 2, 5, 10, 17, _ , _
26, 37
A plane is named by: (2 ways)
A capital script letter, or at least three points on the plane.
If 2 planes intersect, they intersect where?
At exactly 1 line.
What is the converse of this statement?
If it is Friday, then the class periods are only half as long.
If the class periods are only half as long, then it is Friday.
What is the perimeter of a rectangle with length 13 inches and width 7 inches?
P = 2(13) + 2(7) = 26 + 14 = 40 inches