Keisha, Dwayne, and Lonzell are planning for a new bridge to replace the old bridge. The new bridge will start at point B, where Dwayne is standing, and end at point C, where Keisha is standing. Lonzell walks to point D and then walks parallel to the river until he reaches point E where he sees Dwayne and Keisha are Old Bridge New Bridge aligned. Why is the distance from E to B the length of the new bridge? ..... It is given that because they are vertical angles. because they are alternate interior angles. Therefore, ABAC is congruent to ABDE by V So, CB BE because the corresponding parts of congruent triangles are congruent. This means that the distance from E to B is the length of the new bridge. 30 ft - 30 ft

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
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Keisha, Dwayne, and Lonzell are planning for a
new bridge to replace the old bridge. The new
bridge will start at point B, where Dwayne is
standing, and end at point C, where Keisha is
standing. Lonzell walks to point D and then
walks parallel to the river until he reaches point
E where he sees Dwayne and Keisha are
aligned. Why is the distance from E to B the
length of the new bridge?
Old Bridge
New Bridge
It is given that
because they are vertical angles.
because they are alternate
interior angles. Therefore, ABAC is congruent to ABDE by
So, CB BE because the corresponding parts of
congruent triangles are congruent. This means that the distance from E to B is the length of the new bridge.
30 ft
30 ft
Transcribed Image Text:Keisha, Dwayne, and Lonzell are planning for a new bridge to replace the old bridge. The new bridge will start at point B, where Dwayne is standing, and end at point C, where Keisha is standing. Lonzell walks to point D and then walks parallel to the river until he reaches point E where he sees Dwayne and Keisha are aligned. Why is the distance from E to B the length of the new bridge? Old Bridge New Bridge It is given that because they are vertical angles. because they are alternate interior angles. Therefore, ABAC is congruent to ABDE by So, CB BE because the corresponding parts of congruent triangles are congruent. This means that the distance from E to B is the length of the new bridge. 30 ft 30 ft
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