Basic Knowledge
Perpendicular Bisectors
Square Construction
Other
100
This is to give points
200
What word describes the blue points?
hint: points K and J are the _______ of Circle F and Circle I
intersections
200
What is the next step in the perpendicular bisector construction?
Draw a line through the intersection of the circles.
200
The red line is called the ______ of a square.
diagnoal
(fun fact: in Harry Potter, Diagon Alley is a pun on "diagonally")
200
What tools are used to draw circles and lines
compass and straightedge
300
What are each of these? Name them.
Line AB
Ray CD
Line Segment EF
300
Fill in the blanks:
Point C is the _____ of segment DE
AB is the _________ of DE
DE is _______ by AB
The little square means Angle ACD is _____ and that AB is ______ to DE
wordbank: right, midpoint, bisected, perpendicular, perpendicular bisector
Point C is the midpoint of segment DE
AB is the perpendicular bisector of DE
DE is bisected by AB
The little square means angle ACD is right and that AB is perpendicular to DE
300
How do we know a quadrilateral is a square?
4 equal sides and 4 right angles
300
The square is _____ in the circle
Segment OC is an ________ _________
inscribed
angle bisector
400
What are the 3 undefined terms in geometry
Point, Line, Plane
400
Here is the first step of drawing a line perpendicular to m through point C.
What is the purpose of this step? Why do we draw Circle C?
Circle C provides 2 intersection points with line m. Because CF = CG, they are both radii of circle C and are equidistant from point C.
400
This is an unfinished square construction. What is the purpose of the large circle A with radius AB?
Segment AB is one side of the square. By drawing circle A with radius AB, we can create an equal length segment to be the left side of the square.
400
Why are segments FH an GH equal in length?
Circles F and G both share a radius with circle C
Any radius of circle F and G will be equal in length.
FH is a radius of circle F and GH is a radius of circle G, therefore FH = GH
500
What are two important features of a circle? What information about the circle do they tell you?
radius and center - size and location
500
What is the importance of this set of points?
Each point is equidistant from both A and B
500
This is an unfinished square construction. What is the purpose of these aspects of the construction?
These are a variation of a perpendicular bisector construction. They create the right angle corners which are to be a part of the square.
500
Triangle ABC is an equilateral triangles because all its sides have the same length. How do we know the sides triangle ABC are equal in length?
Circle A, B, C share radii with each other, which means all radii of each circle are equal in length.
The sides of Triangle ABC are all radii of Circles A, B, C, therefore all the sides are equal in length.