LESSON 1-6: BASIC CONSTRUCTIONS
DATE
1) CONSTRUCTING CONGRUENT SEGMENTS
A
B
C
D
a) Construct XY so that XY = AB
b) Construct EF so that EF = 2AB
c) Construct MN so that MN = AB + CD
DEFINITIONS:
1) Perpendicular lines are two lines that intersect to form four right angles.
2) A perpendicular bisector of a segment is a line, segment or ray that is perpendicular to the segment
at its midpoint.
2) CONSTRUCTING THE PERPENDICULAR BISECTOR OF A SEGMENT
a) Construct the perpendicular bisector of GH.
G
H
b) Locate the midpoint M of segment JK.
J
K
3) CONSTRUCTING CONGRUENT ANGLES
A
B
a) Construct <C so that <C = <A
c) Construct <E so that m<E = m<A + m<B
b) Construct <D so that m<D = 2m<A
4) CONSTRUCTING THE ANGLE BISECTOR OF AN ANGLE
a) Construct the angle bisector of <F
F
b) Construct the angle bisector of <G.
G
ASSIGNMENT FOR LESSON 1-6
BASIC CONSTRUCTIONS
Name
Period
* Use the segments and angles on the note sheet to complete the following constructions on your own
paper. Show all necessary construction marks.
1) Use constructions to copy <B and then construct the angle bisector of <B.
2) Use constructions to copy AB and then construct the perpendicular bisector of AB.
3) Construct FG with length equal to AB + JK.
4) Construct <R with measure equal to m<B - m<A.
5) Construct PQ such that PQ = 3CD.
6) Construct a right angle.
7) Construct a 450 angle.
8) Use constructions to copy <W below. Use constructions to divide <W into four congruent angles.
(HINT: use angle bisectors)
W
9) Construct an angle P such that m<P = m<A + m<F
10) Use constructions to copy ST below onto your own paper. Use constructions to divide ST into four
congruent parts.
S
T