Constructions

1
Constructions
Remember, you can always look in your notebook
and your textbook (index) for how to
instructions!
2
Sally used a compass to construct a perpendicular
bisector as shown below. What conjecture about
the figure is always true?
a) b) c) d)
3
Construct the line that is perpendicular to the
given line through the given point.
A
C
D
B
4
Construct the line perpendicular to at
point M.
C
A
B
D
5
Mr. Shin asked his math class to locate the
center of gravity of a scalene triangle, by using
a compass and straight edge and doing a geometric
construction. Which special segments of the
triangle should the class construct to locate the
point that would be the center of gravity of the
triangle? a. altitudes c. angle
bisectors b. medians d. perpendicular
bisectors
6
A question on Mrs. Carpios math test was, Using
only a straight edge and compass, locate the
incenter, the point that is equidistant from the
three sides, of a given scalene triangle. Which
special segments of the triangle did Mrs. Carpio
want the class to construct? a. angle
bisectors c. perpendicular bisectors b.
altitudes d. medians
7
Which diagram is not a correct construction of a
line parallel to given line w and passing through
given point K?
A
C
B
D
8
Which of the following describes the geometric
construction used to create the altitude from
vertex Q in shown below?
a. Construct a segment from Q to the midpoint of
b. Construct a perpendicular segment from Q
to c. Construct a perpendicular segment from
M to d. Construct a segment from M to the
midpoint of
9
The figure below shows a construction in which
each of the 3 angles of a triangle has been
divided into 2 angles of equal measure.
Which of these names the lines that were
constructed?
a. altitudes c. medians b. angle
bisectors d. perpendicular bisectors
10
In geometry class, Jose and Marcos were studying
geometric figures and making conjectures. They
drew several different scalene triangles like the
one shown below.
In each triangle, they connected each vertex of
the triangle to the midpoint of the opposite
side. Then Jose and Marcos used a ruler to
measure the lengths of the line segments. What
is a reasonable conjecture that would follow from
their experiment?