Use the diagram and given information to answer the question. B E O 2019 StrongMind. Created using GeoGebra. Long Description: Image of Lines Given: AABC ~ ACDE BC and CD are horizontal segments. AB and ED are vertical segments. Lines I and m are perpendicular. Lines I and m have slopes that are opposite reciprocals. Prove:
Use the diagram and given information to answer the question. B E O 2019 StrongMind. Created using GeoGebra. Long Description: Image of Lines Given: AABC ~ ACDE BC and CD are horizontal segments. AB and ED are vertical segments. Lines I and m are perpendicular. Lines I and m have slopes that are opposite reciprocals. Prove:
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
Transcribed Image Text:Use the diagram and given information to answer the question.
B
D
E
1,
m
A
© 2019 StrongMind. Created using GeoGebra.
Long Description: Image of Lines
Given:
ΔΑΒC ΔCDE
BC and CD are horizontal segments.
AB and ED are vertical segments.
Lines l and m are perpendicular.
Prove:
Lines l and m have slopes that are opposite reciprocals.
What description shows that lines l and m have slopes that are opposite reciprocals?
BC
АВ
DE
CD
The slope of l = – AB
ВС
ВС
Since
АВ
The triangles are similar, so
BC and the slope of m =
CD
DE
AB
are opposite reciprocals, lines l and m have slopes that are opposite reciprocals.
and
ВС
BC
АВ
BC
and the slope of m =
AB
O The triangles are similar, so
DE
The slope of l=
CD
DE
and
CD
are opposite reciprocals, lines l and m have slopes that are opposite reciprocals.
CD
DE
AB
and the slope of m =
BC
АВ
CD
DE
CD
and
DE
DE
O The triangles are similar, so
The slope of I =
Since
On are opposite reciprocals, linesl and m have slopes that are opposite reciprocals.
ВС
DE
CD-
CD
CD
DE
BC
АВ
АВ
АВ
DE Since
and
ВС
CD
O The triangles are similar, so
ВС
The slope of l =
AR and the slope of m
ВС
are opposite reciprocals, lines l and m have slopes that are opposite reciprocals.
AB
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