Chapter 3 Review
Section 3.1
1) Name the two tools we used for geometric constructions.
2) Construct line segment
A
B
1
( AB + 2 CD ).
2
C
D
3) Construct a congruent angle.
Section 3.2
4) When you construct a perpendicular bisector of a line segment, you have determined the
________________ of the segment.
5) The line segment connecting the vertex of a triangle to the midpoint of its opposite side is
the _________________.
6) The line segment that connects the midpoints of two sides of a triangle is the
__________________.
7) Every point on a perpendicular bisector is ________________ from the ends of the
segment.
8) Construct median AG .
A
B
C
9) Construct midsegment GH , where G is the midpoint of XY and H is the midpoint of YZ .
X
Z
Y
Section 3.3
10) A(n) _________________ of a triangle is a perpendicular segment from a vertex to the
opposite side, or to a line containing the opposite side.
11) Sketch all three altitudes in obtuse ΔEFG with obtuse  E.
12) Construct a rectangle whose width is half its length.
Section 3.4
13) An angle bisector is ________________ from the sides of an angle.
14) Bisect  A
A
Section 3.5
15) Construct a rhombus with x as the length of each side and  A as one of the acute angles.
Section 3.6
16) Given the following segments, construct ΔMAS.
17) Given the following segments and angle, construct ΔIGY.
Section 3.7
18) Three or more lines that intersect at a single point are __________________; the point of
intersection is called the ______________________________.
19) The circumcenter of a triangle is the point of concurrency of the ___________________
of a triangle. It is equidistant from the ______________ of the triangle. It is also the
center of the _________________ circle.
20) The incenter of a triangle is the point of concurrency of the _____________________ of
a triangle. It is equidistant from the ________________ of the triangle. It is also the
center of the _____________________ circle.
21) Draw a large triangle and construct its inscribed circle.
22)
Draw a large triangle and construct its circumscribed circle.