Geometry: Constructing Parallel and Perpendicular Lines
1.
Construct an angle congruent to the one below.
2.
Construct a line parallel to line k through G.
Name the line r.
3. Construct a line parallel to line m through Q.
Name the line a.
m
G
Q
k
4. Construct the perpendicular bisector of the segment AB
Label it ̅̅̅̅
𝐶𝐷
5. Construct a line perpendicular to the line n through point C. Use
a ruler to measure the distance from C to line n to the nearest .1 cm.
n
C
6. Construct a line perpendicular to the line below through point C.
7. Construct trapezoid ABCD (a trapezoid has one pair of ∥ lines)
C
A
8. CONSTRUCT a right triangle EFG
B
9. A rhombus is a quadrilateral whose diagonals are perpendicular
bisectors of each other. Construct a rhombus if ̅̅̅̅
𝐶𝐷 is one diagonal.
C
E
F
10. Follow the steps below and answer the question that follows.
a. Using a straightedge, draw a line and name it l. Draw a point P that is not on line l.
b. Construct a line that is perpendicular to line l through point P. Name that line m.
c. Through that same point P, construct a line that is perpendicular to m. Name that line n.
d.
What must be true about lines l and n? _______Justify your answer:
D