Download Chapter 1 Construction Packet

Geometry PAP/GT
Chapter 1 Constructions
Name ______________________________________ Pd ______
Drawings of geometric figures are created using measurement tools such as a ruler and a protractor. Constructions are
methods of creating these figures without the benefit of measuring tools (no inches/cm/degree markings). Generally,
only a pencil, straightedge, and compass are used in constructions. Sketches are created using pencil only. You will use
all three methods in geometry, but this activity focuses on constructions alone. You need a pencil, straightedge, and
compass. Try practicing with the compass to draw circles of various sizes on scratch paper before beginning this activity.
The website www.mathopenref.com (under “Constructions table of contents”) has videos for each of these
constructions that may vary slightly from the textbook but are helpful step-by-step directions.
1. Copy a Line Segment - http://mathopenref.com/constcopysegment.html
Try these on your own:
(a) copy segment MN and label it segment BK
(b) copy segment DJ and label it segment PQ
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2. Bisect a Segment (Perpendicularly) - http://mathopenref.com/constbisectline.html
**segment bisectors intersect a segment at its midpoint (halfway between endpoints of the segment)
**perpendicular refers to lines intersecting at right angles
Try this on your own: perpendicularly bisect segment CD and label the midpoint E
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Extra Practice
3. Copy segment TU, and label it segment HG. Bisect segment HG, and label the midpoint F.
4. Challenge: construct a segment that is 3 times the length of segment TU.
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5. Copy an Angle - http://mathopenref.com/constcopyangle.html
Try these on your own:
(a) copy angle J and label it angle C.
J
(b) copy angle P and label it angle T.
P
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6. Bisect an Angle - http://mathopenref.com/constbisectangle.html
Try these on your own: bisect the following angles.
(a)
Y
(b)
P
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Extra Practice
7. Copy angle S, and label it angle G. Bisect angle G.
S
8. Challenge: construct an angle that is 3 times the measure of angle S.
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