Inductive Reasoning
Find the next two numbers:
3, 4, 6, 9, 13, .....
What is 18 and 24?
Type of lines that never intersect.
What are parallel or skew lines?
A flat 2-dimensional figure made of two or more sides.
What is a polygon?
Classify by angles AND sides:
A polygon with three congruent sides.
What is an equilateral equiangular triangle?
What conclusion can you make:
Given: <a=<b; <a=72
<b=72
Find the next two numbers:
3, -6, 12, -24, ......
What is 42 and -84?
If 2 parallel lines are cut by a transversal, name all of the relationships between those angles we have discussed in class. (there are 6!!!)
vertical angles
consecutive angles
linear pair
alternate exterior and interior
corresponding angles
A polygon where all side lengths and angle measures are the same.
What is a regular polygon?
Classify by angles AND sides:
A triangle that has angles 130, 30, and 20 degrees.
What is an obtuse scalene triangle?
What conclusion can you make:
David is taller than Ronan, Ronan is taller than Sydney.
David is taller than Sydney.
Find the next two numbers:
64, 16, 4, 1, ..........
What is .25 and .0625?
If 2 parallel lines are cut by a transversal on a non-real plane, find the value x such that: m<4 = 5-8x and m<3 = 3x+3
<4 and <3 are a linear pair.
Answer must be a FRACTION.
What is -172/5 ?
If a polygon has 20 sides, what is the sum of its interior angles?
What is 3240 degrees?
Classify by angles AND sides:
A triangle that has angles 70, 70, and 40.
What is an acute isosceles triangle?
!!!!!!!!!!!!!!!DAILY DOUBLE!!!!!!!!!!!!!!!
What conclusion can you make:
All cows eat grass. Blossom eats grass.
No conclusion, Blossom could not be a cow, but maybe a goat or rabbit!
What type of reasoning:
Lizzie observes that the sum of 2 and 4 is an even number, that the sum of 4 and 6 is an even number, and the sum of 12 and 6 is also an even number.
What is Inductive reasoning..... observing patterns.
!!!!!!!!!!!!!!!DAILY DOUBLE!!!!!!!!!!!!!!!
If 2 parallel lines are cut by a transversal, find the value x such that: m<1 = 3.42x-5 and m<8 = 2.93x+1
<1 and <8 are alternate exterior angles.
What is 12.24489796?
If a polygons interior angles sum to 2340, how many sides does the polygon have?
What is 15 sides?
A triangle with angles 32, 141, and 17
What is an impossible triangle?
Given: Eric is a football tackle. What is true about the statement below? What is false?
All football tackles weigh at least 190 pounds. Eric weighs 200 pounds.
Eric is at least 190 pounds, we cannot assume Eric is 200 lbs!
Find the next two numbers:
14, 13.05, 15.10, 12.15, ........
What is 16.20 and 11.25!
Name the 5 ways to prove 2 lines are parallel
What is:
Alternate interior angles are congruent
Corresponding angles are congruent
Consecutive angles are supplementary
Two lines are perpendicular to a third line.
Two lines are parallel to a third line.
If each exterior angle of a polygon is 4 degrees, how many sides does the polygon have?
What is 90 sides?
The first angle of a triangle is 3 times its second angle. Its third angle is 30 less than the second. Find the measure of the third angle.
What is a 12 degrees?
What conclusion can you make:
<a=172
<b=8
<a and <b are supplementary.