, PLEASE USE THIS DOCUMENT AS A GUIDE TO ANSWER YOUR ASSIGNMENT
Question 1: Inductive Reasoning
1.1. Using only a straightedge and reasoning, try to make the angles with the measures below.
Then describe your reasoning process. After making each angle, check your work using a
protractor and determine the percentage error.
A) 30°
Reasoning Process:
First, construct a straight angle (180°) using a straight line.
Then, estimate a 90° angle (a right angle), which is a quarter-turn.
Divide that 90° angle into three equal parts. Each part is approximately 30°.
Construct one of those divisions.
Check:
Use a protractor to measure the constructed angle.
Suppose the measured angle is 28°.
Percentage Error:
B) 45°
Reasoning Process:
Construct a 90° angle.
Bisect it (divide into 2 equal parts) using your straightedge and logical estimation.
Each part is 45°.
Check:
If your protractor shows 46°:
Percentage Error:
Question 1: Inductive Reasoning
1.1. Using only a straightedge and reasoning, try to make the angles with the measures below.
Then describe your reasoning process. After making each angle, check your work using a
protractor and determine the percentage error.
A) 30°
Reasoning Process:
First, construct a straight angle (180°) using a straight line.
Then, estimate a 90° angle (a right angle), which is a quarter-turn.
Divide that 90° angle into three equal parts. Each part is approximately 30°.
Construct one of those divisions.
Check:
Use a protractor to measure the constructed angle.
Suppose the measured angle is 28°.
Percentage Error:
B) 45°
Reasoning Process:
Construct a 90° angle.
Bisect it (divide into 2 equal parts) using your straightedge and logical estimation.
Each part is 45°.
Check:
If your protractor shows 46°:
Percentage Error:
