Transcript Constructions

Constructions
Remember, you can always look in your notebook
and your textbook (index) for “how to” instructions!
Sally used a compass to construct a perpendicular
bisector as shown below. What conjecture about the
figure is always true?
a)
AC  CB
b)
CE  CA
c)
ACB  CBE
d)
CD  AB
Construct the line that is perpendicular to the given line
through the given point.
A
B
C
D
Construct the line perpendicular to KL at point M.
A
B
C
D
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
b. medians
c. angle bisectors
d. perpendicular bisectors
A question on Mrs. Carpio’s 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
b. altitudes
c. perpendicular bisectors
d. medians
Which diagram is not a correct construction of a line parallel to
given line w and passing through given point K?
A
B
C
D
Which of the following describes the geometric construction used to
create the altitude from vertex Q in MPQ shown below?
a. Construct a segment from Q to the midpoint of MP
b. Construct a perpendicular segment from Q to MP
c. Construct a perpendicular segment from M to QP
d. Construct a segment from M to the midpoint of QP
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
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?
A VX  XT  XS
C QX  XT and RX  XV
B RV  PQ and QT  PR
QX
PX
RX 2
D



XT
XS XV 1