In order to find the distance across a canyon, Marlela sites a tree across the canyon (polnt A) and locates polnts on her side of the canyon as shown. Complete the explanation of how she can use this Information to find the distance AB across the canyon. 1000 ft 1000 ft 840 ft ZB and D are (select) angles, so B D;CB CD, so CB CD; LACB and ZECD are (select) angles, so ZA CB LECD.Therefore, AACB AECD by the (select) Triangle Congruence Theorem. Since corresponding parts of congruent triangles are congruent, AB (select) v so AB = ft. The distance across the canyon is ft.
In order to find the distance across a canyon, Marlela sites a tree across the canyon (polnt A) and locates polnts on her side of the canyon as shown. Complete the explanation of how she can use this Information to find the distance AB across the canyon. 1000 ft 1000 ft 840 ft ZB and D are (select) angles, so B D;CB CD, so CB CD; LACB and ZECD are (select) angles, so ZA CB LECD.Therefore, AACB AECD by the (select) Triangle Congruence Theorem. Since corresponding parts of congruent triangles are congruent, AB (select) v so AB = ft. The distance across the canyon is 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
Problem 1CT
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Question

Transcribed Image Text:Question
In order to find the distance across a canyon, Marlela sites a tree across the canyon (polnt A) and locates
polnts on her side of the canyon as shown. Complete the explanation of how she can use thls Information
to find the distance AB across the canyon.
1000 ft
1000 ft
B.
840 ft
ZB and ZD are (select) v angles, so ZB D;CB = CD, so CB - CD; LACB and ZECD are
(select)
angles, so ZA CB ZECD.Therefore, AACB AECD by the
(select) Triangle Congruence Theorem. Since corresponding parts of congruent triangles are
congruent, AB (select) v
so AB =
ft. The distance across the canyon is
ft.
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