Find the locus of all points that are 3 cm. from P.
P
Find the locus of all points that are 2cm. from AB
B
A
Find the locus of all points that are equidistant from points A and B.
A
B
Find the locus of all points that are equidistant from AB and RD . AB
RD
A
B
R
D
Find the locus of all points that are equidistant from AB and ST
A
T
B
S
Find the locus of all points that are two cm. from AB
A
B
Find the set of all points equidistant from the two given line segments .
Describe the locus of all points that are a given distance from the
sides of an equilateral triangle.
Find the locus of the centers of all circles tangent to
circle O at point P.
P
Find the locus of the vertices of all triangles with base
BC and the same area as ABC
A
B
C
Find the locus of the third vertex of all right triangles with side BC
B
C
Find the locus of the centers of all circles that contain points P and Q
Q
P
Find the locus of all points equidistant from the sides of a given 
Find the locus of all points equidistant from the vertices of a 
P
V
T
R
Q
5
W
PQ  SQ , R is the centroid of PQS , RV  5,WS  9 ,
Determine PS,QS,PQ,PW,RW,PR,TQ,TR,RS
9
S
B
N
P
W
A
M
MB, AN , PC are medians . The area of ABC is 36. Determine the area of BMA and
NRW
C
A
AB  CB, AN  MB, AB  12
AN and MB are medians
Find the length of the
medians
M
K
B
C
N
M is the orthocenter of ABC
BF=9,ME=6,EA=8
B
9
E
Find the length of all segments
6
F
M
C
D
8
A
Given AB, B,& BC , construct ABC
Then construct the circumcenter and circumscribed circle about the
triangle
B
A
B
B
C
Given AB, AC,& BC , construct ABC
Then construct the centroid of the triangle.
A
B
A
B
C
C
Given AB, B,& C , construct ABC
Then construct the incenter of the triangle and its inscribed circle.
B
B
A
C
Given circle O and point P, construct the line tangent to O passing through P.
O
P
Given circle O and circle W, construct at least one common tangent to the two circles.
O
W
Construct the line tangent to O at point P
P
O
Construct a parallelogram given two sides and an
angle. Is there more than one possible answer?
Construct a rectangle given one side and a diagonal.
Is there more than one rectangle possible?
Side
Diagonal
Construct a 105 angle
Given that a and b are the lengths of two sides of a triangle
and h is the length of the altitude to the third side, construct
the triangle.
a
b
h
Given that A and B are two angles of a triangle and b is
the length of the bisector of BAC, construct ABC.
A
B
b
Given a segment PN with length 1 unit, construct a segment with length
this problem in two completely different ways.
P
Q
2 units. Do
Given AB , construct an equilateral triangle that has twice the area of the equilateral
triangle with AB as a side
B
A