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
[size=150]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. [br]Using only the tools provided, construct 2 circles, 5 line segments, and 2 points to represent and identify the locations of the water fountains. [/size]
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? [br]Choose [b][u]ALL [/u][/b]the line segments that are congruent, or equidistant, to each other. (There is more than one answer.)
Part B
[size=150]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.[br]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. [/size]
Part B Hint
As you move the points on the yellow line around, the segments should still be perpendicular.
Part C
[size=150]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. [br][/size]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 [b]regular [/b]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? :)
Close

Information: Circle Constructions