Geom 3.8 notes.notebook - Arrowhead High School Drawing Parallel and...Geom 3.8 notes.notebook 2...
Transcript of Geom 3.8 notes.notebook - Arrowhead High School Drawing Parallel and...Geom 3.8 notes.notebook 2...
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Geom 3.8 notes.notebook
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September 21, 2017
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http://youtu.be/UZjevRGLjTM
http://youtu.be/UZjevRGLjTM
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Geom 3.8 notes.notebook
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§3.8 Constructing Perpendicular and Parallel Lines
Bisector of a segmentIts midpoint or any line, line segment, or ray that intersects the segment at its midpoint and only its midpoint.
A construction uses what tools?
Unmarked straightedge
ComposeAlgorithm
A sequence of steps leading to a desired end.
Geometric ConstructionA precise way of drawing which uses specific tools and follows specific instructions
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Geom 3.8 notes.notebook
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The lines created in your answer to number 5 are:
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135°
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0°91
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0°127
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144°
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§3.8 Constructing Perpendicular and Parallel Lines
A construction uses what tools?
Perpendicular bisector
Construct the perpendicular bisector of a given segment AB.
Construct the perpendicular to AP through point P on the line.
Construct the perpendicular to RP through point Q not on the line RP.
1. Construct seg. AB2. Draw at A & B with a radius of AB (or anything > 1/2 AB)3. Connect the pts of intersection
1. Construct line RP w/ pt. Q not on it.2. Draw at Q that intersects RP in 2 places, label M & C3. Draw 's at M & C with radius MC4. Draw at the intersection of the arcs
1. Construct line w/ pt. P on it.2. Draw at P with any radius, label M & C3. Draw at M & C with radius of MC4. Draw at the intersection of the arcs
Algorithm
Skip #3, 5 & 1116 on Ws 3.8 B
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WS 38B.pdf
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0°172
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360° 62
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Attachments
WS 38B.pdf
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Name
L E S S O NM A S T E R
Vocabulary
1. a. What is a bisector of a segment?
b. What is the perpendicular bisector of a segment?
2. What are the only tools that may be used in a construction?
3. Complete the following statement. A(n) is a sequence of steps leading to a desired end.
Skills Objective D: Draw parallel lines, perpendicular bisectors, andperpendicular lines.
In 4–6, construct and label the required line.
4. v, the ⊥ bisector 5. e, the ⊥ bisector 6. line f ⊥ to y at Q
of GH of AB
7. Use the figure at the right. Use the tools ofyour choice to draw the given line.
a. the line through C ⊥ to s, with theintersection labeled K
b. the line through C // to s, with the linelabeled r
8. In Question 7, state the relationship between r and s.
Questions on SPUR Objectives3-8B
UC
SM
PG
eom
etry
©S
cott
, F
ore
sman
and C
om
pan
y
47 ©
v
HG
B
A
e
y
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f
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r
s
K
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Uses Objective J: Apply parallel and perpendicular lines in real situations.
9. a. A bridge is to bebuilt connectingpoint A onHighway D to Highway H.Draw the shortestbridge possible.
b. Highway Y is tobe built parallelto Highway Hthrough point Aon Highway D.Draw Highway Y.
10. a. A new road, Shadow Lane,is to be built perpendicularto Elm Path at its midpoint.Construct and labelShadow Lane.
b. Another new road, ParkCrossway, is to be builtparallel to Elm Paththrough the intersectionof Shadow Lane andScenic Drive. Constructand label Park Crossway.
Review Objective L, Lesson 1-3
In 11–16, graph each point on the coordinateplane. Label the point with its letter name.
11. A 5 (2, 1) 12. B 5 (3, -4)
13. C 5 (-4, -4) 14. D 5 (0, 3)
15. E 5 (-5, 0) 16. F 5 (2, -2)
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© LESSON MASTER 3-8B page 2
UC
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©S
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Highway H
AHighway D
Highway Y Bridge
Scenic Drive
Shadow Lane
Park Crossway
Elm Path
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SMART Notebook
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