Geometry Construction Project (100 points)
Due: Monday, September 28, 2015 (or earlier)
For Full Credit you must have:

A cover page including a Title, your Name, Date Due, Period and Class

All given information in BLACK PEN. Final step must be in RED.

Must show work: I need to see your compass marks on the same page and will need to see
the steps in written format. Be specific. (Explain in words what you did.)

Each construction needs to be on a separate sheet of blank, unlined, white paper. (Do one
construction per page.)

LATE PROJECTS WILL RECEIVE 10% DEDUCTION PER DAY

You may only use a ruler or protractor to create the GIVEN information if a specific size is
listed.

The project must be neat, legible, and organized in a folder or bound where the pages can
flip.
Construction #1
To construct congruent segments
Given: Segment AB = 3 inches
Construct: Segment XY such that
XY  AB
Construction #6
To construct a line  to a point on a line
Given: Point P on line L
Construct: Line PZ  Line L
Construction #7
Construction #2
To construct the midpoint of a segment
Given: Segment AB = 6 inches
Construct: M, the midpoint of
Segment AB
To construct a line perpendicular to a
point not on the line
Given: Point P NOT on line L
Construct: Line PZ  Line L
Construction #8
Construction #3
To construct the  bisector of a segment
Given: Segment AB = 6 inches
Construct: Line XY  AB
To construct the Centroid of a triangle
Given: Isosceles ABC with legs 3
inches and base 4 inches
Construct: Centroid X of ABC
Construction #4
Construction #9
To construct congruent angles
Given: BAC  45
Construct: BAC  YXZ
To construct the orthocenter of an
isosceles triangle
Given: Isosceles ABC with legs 3
inches and base 4 inches
Construct: Orthocenter X of ABC
Construction #5
To construct the angle bisector
Given: BAC  70 
Construct: Ray AX so
BAX  XAC
Construction #10
Construction #16
To construct the orthocenter of a scalene
triangle
Given: Scalene ABC with sides 7cm,
5cm, and 3 cm
Construct: Orthocenter X of ABC
To construct a 4th segment in proportion
with three given segments
Given: Segment A = 2in,
Segment B = 4in, and Segment C = 1in
Construct: Segment D such that
A:B = C:D
Construction #11
To construct an equilateral triangle, and
then two congruent triangles
Given: Segment AB = 6 cm
Construct: An equilateral ABC with
sides 6 cm, then create two congruent
triangles
Construction #17
To construct the Geometric Mean
between two given segments
Given: Segment A = 4cm and
Segment B = 6cm
Construct: A segment of length C such
that A:C = C:D
Construction #12
To circumscribe a circle about a triangle
Given: Isosceles ABC with legs 2 in
and base 3 in
Construct: Circle with center X
circumscribed about ABC
Construction #18
To locate the center of a circle
Given: Circle with unknown center
Construct: location of center X
Construction #19
Construction #13
To inscribe a circle in a triangle
Given: Right ABC with sides
3, 4 and 5 in
Construct: Circle with center X
inscribed in ABC
To construct a line tangent to a circle at
a point on the circle
Given: Circle O with radius 2in and
Point P on the circle
Construct: Line T tangent to Circle O
at Point P
Construction #14
Construction #20
To construct parallel lines
Given: Line L with Point P not on L
Construct: Line K through point P and
parallel to line L
To construct a square where the side is
given.
Given: Line AB is 3 in.
Construct: A square with points A, B,
C, and D. Where AB  BC  CD  DA.
Construction #15
To divide a given segment into
3congruent segments
Given: Segment AB
Construct: Points C and D such that
AC  CD  DB
BONUS: Construct one of the figures on
your teacher’s webpage.