Circle Constructions
Apply what you have learned in the circles unit and lessons to answer these questions.
Practice using the tools below to create circles, line segments, points, etc.
Part A
The park director wants to install 2 water fountains at the park. Each water fountain is to be equidistant to both the playground and the baseball field.
Using only the tools provided, construct 2 circles, 5 line segments, and 2 points to represent and identify the locations of the water fountains.
Part A Question:
How do you know that the two points, aka the water fountains, are the same distance to the playground and to the baseball field? What do those distances represent? Choose ALL the line segments that are congruent, or equidistant, to each other. (There is more than one answer.)
Part B
Your summer job is to paint parking spaces and your boss asked you to paint a line segment that is perpendicular to the yellow line. The painted line MUST also go through point P.
Using only the tools provided, place 2 points on the yellow line and construct at least 2 circles and 2 line segments to get a perpendicular line through P to the yellow line.
Part B Hint
As you move the points on the yellow line around, the segments should still be perpendicular.
Part C
The school's emblem is a regular hexagon. You are to inscribe the emblem in the blue circle at the center of the basketball court.
Remember: A regular hexagon is a 6-sided shape where all the sides are the same length.
How do you know that the hexagon is a regular hexagon? How do you know that ALL the sides are the same length?
Part D: Bonus
Using only the tools provided, create a design and answer the question below for extra credit.
Which of your points are movable? Which points should Ms Hunsicker move? :)