Unit 1, Lesson 7
Construction Techniques 5: Squares
Geometry
7.1
Warm-up
Which three go together? Why do they go together?
A
B
C
D
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Which three go together? Why do they go together?
A
B
C
D
Use straightedge and compass moves to construct a square with segment as one of the sides.
Label the intersection of the diagonals as point , and construct a circle centered at with radius . How are the diagonals related to this circle?
Use your conjecture and straightedge and compass moves to construct a square inscribed in a circle.
We can use what we know about perpendicular lines and congruent segments to construct many different objects. A square is made up of 4 congruent segments that create 4 right angles. A square is an example of a regular polygon since it is equilateral (all the sides are congruent) and equiangular (all the angles are congruent). Here are some regular polygons inscribed inside circles:
A regular polygon is a polygon where all of the sides are congruent and all of the angles are congruent.