Find the value of the variable that results in congruent triangles. Complete the explanation.

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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Find the value of the variable that results in congruent triangles. Complete the explanation.
(2x+14)°
(4x)
13.5 in.
13.5 in.
12 in.
12 in.
A
D
E
AC (select)
because EF (select) v BC =12 in. LC (select)
congruent by the (select) v Triangle Congruence Theorem only when x D
v to DF, because AC (select) v DF 13.5 in. EF (select)
V to BC,
vto ZF. The triangles (select)
Transcribed Image Text:Question Find the value of the variable that results in congruent triangles. Complete the explanation. (2x+14)° (4x) 13.5 in. 13.5 in. 12 in. 12 in. A D E AC (select) because EF (select) v BC =12 in. LC (select) congruent by the (select) v Triangle Congruence Theorem only when x D v to DF, because AC (select) v DF 13.5 in. EF (select) V to BC, vto ZF. The triangles (select)
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