Inductive Reasoning
The definition of inductive reasoning is...
using logic when using a specific example to make a general rule
Point defintion:
is a precise location or place on a plane. It is usually
represented by a dot.
If we have angle ABC, which point is the vertex?
What is the segment addition formula for a line with points A,B,C and point B is between point A and C?
AB+BC=AC
Two nonadjacent angles that are opposite of each and congruent are know as ______________ angles.
Vertical
Definition of conjecture:
educated guess, where no evidence is needed.
Line definition:
is a straight path that continues in both directions forever. Lines are one-dimensional.
For Ray XY, the arrow should be extending infinitely passed...
point Y
What is the measure of segment AC if point B is between point A and C, and AB = 11 and BC = 9.
20
Two angles form a linear pair if they add up to ______ degrees.
180
What is the next number in the sequence: 5, 15, 45
135 (times 3)
Plane definition:
is a flat, two-dimensional object. It has no thickness and extends forever.
True or false: a line segment extends forever in both directions.
False: should be a line
Solve for BC:
AB=9 BC=X AC = 10
AB + BC = AC
9 + x = 10
BC = 1
If angle A forms a linear pair with angle B and angle B = 100 degrees, what is the measure of angle A?
80 degrees
What is the next number in this sequence: 2,4,8,14....
22 (adding 2 more than the previous numbers)
Angle definition:
is formed by two rays with the same endpoint.
True
Point Y is between Point X and Z in a line segment. Line segment XZ has a length of 100. Line segment YZ is 40. What is the measure of XY?
XY + YZ = XZ
x + 40 = 100
x=60
XY = 60
Angle X and Angle Y are vertical angles: Angle X equals 2x + 1 and Angle Y = 7. What is the value of x?
2x + 1 = 7
x=3
Make a conjecture based on these expressions:
1 + 3 = 4
7 + 9 = 16
5 + 15 = 20
The sum of two odd numbers equals an even number
Vertex defintion:
The point where the rays meet, the middle point.
True or False: Mr. Mahoney's favorite number is 5
True
Segment AD has four points with points B & C between points A and D. If AB = 5, BC= 6, CD=7 what is the measure of segment AD?
AB + BC + CD = AD
5 + 6 + 7 = 18
Two lines intersect to for vertical angles angle 1 and angle 3 are vertical angles, and angle 2 and angle 4 are vertical angles. Angle 3 = 110 degrees, find the measure of angles 1,2, and 4.
Angle 1 = 110 degrees
Angle 2 = 70 degrees
Angle 4 = 70 degrees