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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
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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• 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:• 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
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.
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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