3. Triangles DEF and JKL have the dimensions shown. 3x + 1 L 5x-37 E For what value of x are the triangles congruent?

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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Answer questions 3 and 4

3.
Triangles DEF and JKL have the dimensions
shown.
K
3x + 1
F.
D
51 - 37
>E
For what value of x are the triangles congruent?
Transcribed Image Text:3. Triangles DEF and JKL have the dimensions shown. K 3x + 1 F. D 51 - 37 >E For what value of x are the triangles congruent?
4.
In the diagram, GH bisects LKGL.
G<
141⁰
141°
H
ZKGH = 2LGH by the
definition of a perpendicular
bisector.
Place an X in the table to show whether each
statement is true or false.
LGHK LGHL because
they have the same
measure.
GH GH by the Reflexive
Property.
K
AGHK AGHL by the ASA
Triangle Congruence
Theorem.
L
True False
Transcribed Image Text:4. In the diagram, GH bisects LKGL. G< 141⁰ 141° H ZKGH = 2LGH by the definition of a perpendicular bisector. Place an X in the table to show whether each statement is true or false. LGHK LGHL because they have the same measure. GH GH by the Reflexive Property. K AGHK AGHL by the ASA Triangle Congruence Theorem. L True False
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