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.
Based on this construction, m∠ABP is *BLANK 1* , and m∠ABC is *BLANK 2*. - correct answer ✔✔blank
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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.
Based on this construction, m∠ABP is *BLANK 1* , and m∠ABC is *BLANK 2*. - correct answer ✔✔blank
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