triangle proof recorder steps Reorder the steps of the proof to make sure that steps that are logically dependent onprior steps are in the proper order.Given: AD || BC and AB || CD.Prove: ZB ZD.StepStatementReasonAD BCGiven1AB || CDABCA ADACASAParallel lines cut by a transversal form congruent alternate interiorZBCA LC AD3anglesCorresponding Parts of Congruent Triangles are Congruent(СРСТО)ZB ZD4.AC ACReflexive PropertyParallel lines cut by a transversal form congruent alternate interioranglesZBAC LACD StepStatementReasonAD BCGiven1AB CD2.ABCA ADACASAParallel lines cut by a transversal form congruent alternate interiorZBC A LC ADanglesCorresponding Parts of Congruent Triangles are Congruent(СРСТС)ZB ZDAC ACReflexive PropertyParallel lines cut by a transversal form congruent alternate interiorZBAC LACDanglesBCD

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Answered: triangle proof recorder steps

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 recorder steps

Reorder the steps of the proof to make sure that steps that are logically dependent on
prior steps are in the proper order.
Given: AD || BC and AB || CD.
Prove: ZB ZD.
Step
Statement
Reason
AD BC
Given
1
AB || CD
ABCA ADAC
ASA
Parallel lines cut by a transversal form congruent alternate interior
ZBCA LC AD
3
angles
Corresponding Parts of Congruent Triangles are Congruent
(СРСТО)
ZB ZD
4.
AC AC
Reflexive Property
Parallel lines cut by a transversal form congruent alternate interior
angles
ZBAC LACD

Step
Statement
Reason
AD BC
Given
1
AB CD
2.
ABCA ADAC
ASA
Parallel lines cut by a transversal form congruent alternate interior
ZBC A LC AD
angles
Corresponding Parts of Congruent Triangles are Congruent
(СРСТС)
ZB ZD
AC AC
Reflexive Property
Parallel lines cut by a transversal form congruent alternate interior
ZBAC LACD
angles
B
C
D

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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