triangle proof Given: BD bisects ZABC and AB = BC.Prove: BD bisects ZADC.Note: quadrilateral properties are not permitted in this proof.StepStatementReasonBD bisects ZABC1GivenAB BCtryType of Statement41

Given : BD bisects ∠ABC AB ≅ BC

Answered: Given: BD bisects ZABC and AB BC.…

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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triangle proof

Given: BD bisects ZABC and AB = BC.
Prove: BD bisects ZADC.
Note: quadrilateral properties are not permitted in this proof.
Step
Statement
Reason
BD bisects ZABC
1
Given
AB BC
try
Type of Statement
41

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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