Download Geometry Activities in CMU MTH 351: Hints and Solutions - Prof. Tibor Marcinek and more Assignments Mathematics in PDF only on Docsity!
There is no hint for finding the midpoint. Use line of sight to ensure that your midpoint is ON your line segment.
To construct the perpendicular line (right angle), use the cord with knots. You can create different triangles by
having 3 students hold 3 knots so that the cord is tight. There are knot combinations for which your triangle
will be a right triangle. Find which knots to hold so that the triangle is a right triangle and explain why it works.
Activity 1
Idea of the construction:
ACBD is a rectangle. Diagonals of a rectangle bisect each other.
AB is the original line segment (cord with 2 stacks)
A (^) B
C
D
Activity 2
Activity 4
Image of the pole Mirror Pole
The observer sees this part
of the pole in the mirror
Observer
Situation 3: Pole is half way between the mirror and observer (the observer did not move).
Image of the observer
Image of the pole (^) Mirror Pole
The observer sees this part
of the pole in the mirror
Observer
D D = Distance observer - mirror
Situation 2: Pole is at the mirror (the observer did not move)
Image of the observer
Image of the pole and observer Mirror Pole
The observer sees this part
of the pole in the mirror
Observer
D D = Distance observer - mirror
Situation 1: Pole and the observer are at the same distance from the mirror
Pole
Activity 5
d^
d^
d^
d
Hint (construction) Hint (justification)
concrete block
