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3.11 Quiz Constructions With Polygons

Question: Kate is constructing an equilateral triangle. She has already use her straightedge to construct the line segment shown

Answer: Place the point of the compass on point A and draw arc , using AB as the width for the opening of the compass

Question: What are he steps and drop them in order for start to finish

Answer: Construct UV

Construct a circle

Construct a point

Construct uw and ve

Question: Denise is constructing a square in which two of its vertices are points m and n etc…

Answer: Place the point of the compass on point N and draw an arc that intersects NO using MN etc…

Question: What are the steps for using a compass and straightedge to construct a square

Answer: -Construct horizontal HJ

-Construct a circle with point h

-Label the point of the intersections of the two circles above HJ

-construct KL

-construct a circle with a point M

  • label he point of intersection of circle M

  • -construct HN NJ JO

  • Question: What are the steps for using a compass and straightedge to construct a regular hexagon inscribed in a circle

  • Answer: Construct horizontal line n and point p

  • Construct a circle

  • Label the point of intersection of the circle/line N

  • Construct a circle with its center at point Q

  • Label the point

  • Construct and QS SU UR RV