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STUDENT NAME: ________________________________________BLOCK # ______________ DATE __________
1. Bisecting a Line Segment
1. Using a ruler, draw on the back of this paper
a line segment similar to the one displayed.
2. Bisecting an Angle
1. Using a ruler, draw an angle similar to the
one below on the back of this paper.
2. Using only a compass and a straight edge,
bisect the line segment you have drawn.
3. Explain how your procedure results in cutting
the line in half.
HINT: To bisect a line segment, the student
should: 1) adjust the compass to draw a
circle with a radius greater than half the
length of the segment and draw arcs
centered at each end point of the segment
so that the arcs cross above and below the
segment; 2) connect the two points where
the arcs cross.
2. Using only a compass and straight edge,
bisect the angle you have drawn.
HINT: To bisect an angle, the student
should: 1) draw an arc centered at the
angles vertex, so that the arc crosses both
rays of the angle; 2) let the points where
this arc crosses each ray be the centers for
two new arcs, draw the new arcs without
readjusting the compass, so that they cross
inside the angle; 3) connect the vertex of
the angle with the points where the two arcs
cross. This line bisects the angle.
3. Angle Construction
1. Using only a compass and straight edge,
construct a triangle with angles 30°, 60°, and
90°. On the back of this paper.
HINT: To draw a 30°, 60°, 90° triangle the
students should 1) bisect a line segment as
in Enrichment 1 (repeats Steps 1 and 2); 2)
adjust the compass to draw an arc with a
radius equal to the length of the line
segment; 3) extend the segment bisector
until it intersects the new arc; 4) connect
the end of the segment with the bisector
where it intersects the arc.
2. Using only a compass and straight edge,
construct a triangle with angles 45°, 45°, and
90°. On the back of this paper.
HINT: To draw a 45°, 45°, 90° triangle the
student should 1) bisect a line as in
Enrichment 1 (repeat Steps 1 and 2); 2) draw
an arc with its center at the center of the
bisected line and with a diameter equal to
the entire line segment; 3) extend the
segment bisector until it intersects the
new arc; 4) connect the line segment and
bisector as shown.
GRAPHIC COMMUNICATIONS – 3 MATH/SCIENCE ENRICHMENTS
_______/30 PTS.