Given: AB BC and D is the midpoint of AC. Prove: BD bisects ZABC.

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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Given: AB BC and D is the midpoint of AC.
Prove: BD bisects ZABC.
Note: quadrilateral properties are not permitted in this proof.
Step
Statement
Reason
AB BC
1
Giyen
D is the midpoint of AC
try
Type of Statement
B
A
Note: the segment AC is a straight segment.
Transcribed Image Text:Given: AB BC and D is the midpoint of AC. Prove: BD bisects ZABC. Note: quadrilateral properties are not permitted in this proof. Step Statement Reason AB BC 1 Giyen D is the midpoint of AC try Type of Statement B A Note: the segment AC is a straight segment.
4030201 2
A DeltaMath
M Mathway | Algebra Problem S
x Microsoft Office Home
O https://www.deltamath.com/student/solve/12447672/custom1609818057238
Prove: BD bisects ZABC.
Cote: quadrilateral properties are not permitted in this proof.
Etep
Statement
Reason
AB BC
Given
D is the midpoint of AC
AD DC
A midpoint divides a segment into two congruent segments
BD bisects AC
A segment bisector intersects the segment to form two congruent
segments
AABC is an isosceles triangle
The triangle has two congruent sides
BD BD
Reflexive Property
ABDA ABDC
SS
ZBDA LBDC
Corresponding Parts of Congruent Triangles are Congruent
(СРСТС)
Type of Statement
ch
a
Transcribed Image Text:4030201 2 A DeltaMath M Mathway | Algebra Problem S x Microsoft Office Home O https://www.deltamath.com/student/solve/12447672/custom1609818057238 Prove: BD bisects ZABC. Cote: quadrilateral properties are not permitted in this proof. Etep Statement Reason AB BC Given D is the midpoint of AC AD DC A midpoint divides a segment into two congruent segments BD bisects AC A segment bisector intersects the segment to form two congruent segments AABC is an isosceles triangle The triangle has two congruent sides BD BD Reflexive Property ABDA ABDC SS ZBDA LBDC Corresponding Parts of Congruent Triangles are Congruent (СРСТС) Type of Statement ch a
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