Geom 3.8 notes.notebook

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September 21, 2017

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http://youtu.be/UZjevRGLjTM

http://youtu.be/UZjevRGLjTM

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

Geom 3.8 notes.notebook

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The lines created in your answer to number 5 are:

Geom 3.8 notes.notebook

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September 21, 2017

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0°

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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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84°

Geom 3.8 notes.notebook

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September 21, 2017

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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

Geom 3.8 notes.notebook

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September 21, 2017

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WS 38B.pdf

Geom 3.8 notes.notebook

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0°172

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0° 95

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0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 150°

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360° 62

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Attachments

WS 38B.pdf

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

Q

f

C

r

s

K

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)

48

Name

© LESSON MASTER 3-8B page 2

UC

SM

PG

eom

etry

©S

cott

, F

ore

sman

and C

om

pan

y

Highway H

AHighway D

Highway Y Bridge

Scenic Drive

Shadow Lane

Park Crossway

Elm Path

F

ED

C B

A

5-5

5

-5

y

x

SMART Notebook

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