DE =CE Both circles have radii of the same length. 3 BE = BE They're lengths of the same segment. 4 ABCE ABDE Side-side-side congruence (1, 2, 3) 5. 21 2 Corresponding parts of congruent triangles are congruent (4). m21 = mZ2 Angles are congruent if and only if they have the same measure (5). m21 + m/2 = 180° The measures of angles sum to 180°. 8 Substitution (6, 7) 9 2(m/1) = 180° Collect like terms (8). %3D 10 m21 = 90° Divide by 2 (9). he measures of v Nangles sum to 180". 1 ubstitution (6, 7 ollect like term linear pair >
DE =CE Both circles have radii of the same length. 3 BE = BE They're lengths of the same segment. 4 ABCE ABDE Side-side-side congruence (1, 2, 3) 5. 21 2 Corresponding parts of congruent triangles are congruent (4). m21 = mZ2 Angles are congruent if and only if they have the same measure (5). m21 + m/2 = 180° The measures of angles sum to 180°. 8 Substitution (6, 7) 9 2(m/1) = 180° Collect like terms (8). %3D 10 m21 = 90° Divide by 2 (9). he measures of v Nangles sum to 180". 1 ubstitution (6, 7 ollect like term linear pair >
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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Transcribed Image Text:• The circles passing through point E are centered at points C and D and have radii of length CE
• The circle passing through points C and Dis centered at point B.
A
12
Transcribed Image Text:All radii of the same circle have the same length.
DE = CE
Both circles have radii of the same length.
3
BE = BE
They're lengths of the same segment.
4
ABCE Y ABDE
Side-side-side congruence (1, 2, 3)
21 22
Corresponding parts of congruent triangles are congruent (4).
6.
m21 = mZ2
Angles are congruent if and only if they have the same measure (5).
7.
m21+ mZ2 = 180°
The measures of
angles sum to 180°.
Substitution (6, 7)
9 2(m/1) = 180°
Collect like terms (8).
%3D
10
m21 = 90°
Divide by 2 (9).
he measures of
angles sum to 180°.
1
ubstitution (6, 7
ollect like term
linear pair
2
ivide by 2 (9).
same-side interior
vertical
AD = BD
4
D
Subs
BA = BE
9.
olh
10
ivi
m21+m22= 180°
BC = BD
mz1+ mz1= 180°
m21= 180°
3
5.
1.
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