Geometric Constructions: Step-by-Step Guide to
Mastering the Fundamentals
to copy a segment - correct answer ✔✔1. use a straight edge to draw a line
2. choose a point on the line and label it point ___
3. place the compass on the first point
4. adjust the compass width to the length of the line
5. without changing the compass, place the compass point on the given point and draw an intersecting
line. label the point of intersection
to copy an angle - correct answer ✔✔1. draw a point that will be the vertex of the new angle
2. from the given point, use a straightedge to draw out a line, which will become on side of the new
angle
3. place the compass point on the other vertex and draw an arc through the point
4. without changing the compass, place the compass point on the first angle, draw an arc intersecting
the line and label the point of intersection
5. place the compass on point of the second angle and adjust its width to where the arc intersects the
two lines
6. without changing the compass width, place the compass on the point of the second angle and draw
another arc across the first arc. label the point where both arcs intersect at the point
7. use a straightedge to draw the line
to bisect angle - correct answer ✔✔1. place the compass on the vertex
2. open the compass and draw an arc that crosses both sides of the angle
3. set the compass width to more than half the distance from the point where the arc crosses and drawn
an arc in the angles interior.
4. without changing the compass width, place the compass point where the arc crosses the line and
draw an arc so that it crosses the previous arc. Label the intersection point.
5. using a straight edge draw a ray from the vertex through the point
Mastering the Fundamentals
to copy a segment - correct answer ✔✔1. use a straight edge to draw a line
2. choose a point on the line and label it point ___
3. place the compass on the first point
4. adjust the compass width to the length of the line
5. without changing the compass, place the compass point on the given point and draw an intersecting
line. label the point of intersection
to copy an angle - correct answer ✔✔1. draw a point that will be the vertex of the new angle
2. from the given point, use a straightedge to draw out a line, which will become on side of the new
angle
3. place the compass point on the other vertex and draw an arc through the point
4. without changing the compass, place the compass point on the first angle, draw an arc intersecting
the line and label the point of intersection
5. place the compass on point of the second angle and adjust its width to where the arc intersects the
two lines
6. without changing the compass width, place the compass on the point of the second angle and draw
another arc across the first arc. label the point where both arcs intersect at the point
7. use a straightedge to draw the line
to bisect angle - correct answer ✔✔1. place the compass on the vertex
2. open the compass and draw an arc that crosses both sides of the angle
3. set the compass width to more than half the distance from the point where the arc crosses and drawn
an arc in the angles interior.
4. without changing the compass width, place the compass point where the arc crosses the line and
draw an arc so that it crosses the previous arc. Label the intersection point.
5. using a straight edge draw a ray from the vertex through the point
