SB Enr Geom 1­7 Completed.notebook
September 12, 2012
Lesson 1­7 Basic Constructions
construction ­ using a straightedge and compass to draw a geometric figure
straightedge ­ ruler with no markings on it
compass ­ a geometric tool used to draw circles and parts of circles called arcs
0°
91
Aug 26­8:13 AM
Expl 1. Construct a segment congruent to a given segment.
B
0°
197
A
Aug 26­8:21 AM
1
SB Enr Geom 1­7 Completed.notebook
September 12, 2012
Ckpt 1. Use a straight edge to draw XY. Then construct RS so that RS = 2XY
0°
0
Aug 26­8:25 AM
Expl 2. Construct an angle congruent to a given angle.
A
0°
0
Aug 26­8:27 AM
2
SB Enr Geom 1­7 Completed.notebook
September 12, 2012
Ckpt 2. Construct <F with m<F = 2m<B.
0°
0
Aug 26­8:28 AM
Perpendicular lines ­ two lines that intersect to form right angles
perpendicular bisector ­ a line, segment, ray, or plane, that is perpendicular to the segment at its midpoint
Expl 3. Construct a perpendicular bisector of AB
B
A
140 0°
Aug 26­8:29 AM
3
SB Enr Geom 1­7 Completed.notebook
September 12, 2012
angle bisector ­ a ray that divides an angle into two congruent coplanar angles
Expl 4. KN bisects <JKL so that m<JKN = 5x ­ 25 and m<NKL = 3x + 5. Solve for x to find m<JKN.
J
K
N
L
4. Find m<NKL and m<JKL.
Aug 26­8:32 AM
0°
Expl 5. Construct an angle bisector.
148
A
Aug 26­8:37 AM
4
SB Enr Geom 1­7 Completed.notebook
September 12, 2012
Ckpt 5. Construct an angle bisector for an obtuse angle.
95
0°
Aug 26­8:42 AM
Homework
Lesson 1­7
9­12, 25, 37­50
Aug 26­8:43 AM
5