Geometric Constructions with Lines and
Angles: Mastery Test Fully solved
The diagram shows a stage in the construction of a line perpendicular to through
point A.
The next step in this construction is...... - correct answer ✔✔to keep the same
compass width and draw an arc centered at H crossing the previous arc in the
image
What is the first step in the construction of a line perpendicular to and passing
through an external point M? Assume that the construction uses only a compass and
a straightedge. - correct answer ✔✔Place the compass needle on M and, keeping
the compass width the same, draw two arcs that intersect .
To copy an angle using only a compass and a straightedge, begin by marking the
vertex of the new angle. Then draw a ray from the vertex, which will be one of the
legs of the new angle. What is the next step in the construction? - correct answer
✔✔Set the compass to a convenient width, and draw an arc that is centered at the
vertex of the original angle and intersects both legs of the original angle.
What needs to be corrected in the following construction for copying ∠ABC with
point D as the vertex? - correct answer ✔✔The third arc should cross the second arc.
Which sentence states a property or a definition used in the construction of a
perpendicular bisector? - correct answer ✔✔Any point on a perpendicular bisector is
equidistant from each endpoint of the line segment.
What is the most direct use of a compass in geometric constructions? - correct
answer ✔✔to draw arcs of a given size
In the diagram, points D and E are marked by drawing arcs of equal size centered at
B such that the arcs intersect and . Then, intersecting arcs of equal size are drawn
centered at points D and E. Point P is located at the intersection of these arcs.
