, MIP2601/102/0/2025
MIP2601 Assignment 3 (COMPLETE ANSWERS) 2025 - DUE 14 July
Due date: 14 JULY 2025, TIME: 08:00
Remember
Make sure you fill in the following information in the space provided on the mark-reading sheet.
• module code: MIP2601
• unique number: 818210
• assignment number: 03
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° (2)
b. 45° (2)
c. 100° (2)
d. 300° (2)
e. 67° (2)
1.2. In the figure below, lines 𝐴 and 𝐶 are perpendicular
a. Name two complementary angles (2)
b. Name two supplementary angles (2)
c. Name two vertical angles (2)
d. Name two adjacent angles (2)
2
, MIP2601/102/0/2025
1.3. Indicate whether the statements below are true or false. If true, explain why. If false, explain
why
a. If two distinct lines do not intersect, then they are parallel (1)
b. If two lines are parallel, then they lie in the same plane (1)
c. If two lines intersect, then they lie in the same plane (1)
d. If a line is perpendicular to a plane, then it is perpendicular to all lines in that plane(1)
e. If three lines are concurrent, then they are also coplanar. (1)
f. If two planes intersect, then the intersection is either a point or a line. (1) 1.4.
Name all the possible different rays that can be formed from the three points (1)
Subtotal = [25]
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.
(Since the actual drawing and measurement can't be physically done here, I’ll guide you on how it would be done
and how to calculate the percentage error.)
a. 30° (2 marks)
Reasoning:
Start with a 60° angle using an equilateral triangle (all angles are 60°).
Bisect the 60° angle using your straightedge to get a 30° angle.
Percentage error calculation (example):
If your measured angle = 32°,
Error=∣32−3030∣×100=230×100≈6.67%\text{Error} = \left|\frac{32 - 30}{30}\right| \times 100 = \frac{2}{30} \times
100 \approx 6.67\%Error=3032−30×100=302×100≈6.67%
3
MIP2601 Assignment 3 (COMPLETE ANSWERS) 2025 - DUE 14 July
Due date: 14 JULY 2025, TIME: 08:00
Remember
Make sure you fill in the following information in the space provided on the mark-reading sheet.
• module code: MIP2601
• unique number: 818210
• assignment number: 03
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° (2)
b. 45° (2)
c. 100° (2)
d. 300° (2)
e. 67° (2)
1.2. In the figure below, lines 𝐴 and 𝐶 are perpendicular
a. Name two complementary angles (2)
b. Name two supplementary angles (2)
c. Name two vertical angles (2)
d. Name two adjacent angles (2)
2
, MIP2601/102/0/2025
1.3. Indicate whether the statements below are true or false. If true, explain why. If false, explain
why
a. If two distinct lines do not intersect, then they are parallel (1)
b. If two lines are parallel, then they lie in the same plane (1)
c. If two lines intersect, then they lie in the same plane (1)
d. If a line is perpendicular to a plane, then it is perpendicular to all lines in that plane(1)
e. If three lines are concurrent, then they are also coplanar. (1)
f. If two planes intersect, then the intersection is either a point or a line. (1) 1.4.
Name all the possible different rays that can be formed from the three points (1)
Subtotal = [25]
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.
(Since the actual drawing and measurement can't be physically done here, I’ll guide you on how it would be done
and how to calculate the percentage error.)
a. 30° (2 marks)
Reasoning:
Start with a 60° angle using an equilateral triangle (all angles are 60°).
Bisect the 60° angle using your straightedge to get a 30° angle.
Percentage error calculation (example):
If your measured angle = 32°,
Error=∣32−3030∣×100=230×100≈6.67%\text{Error} = \left|\frac{32 - 30}{30}\right| \times 100 = \frac{2}{30} \times
100 \approx 6.67\%Error=3032−30×100=302×100≈6.67%
3
