Given that line AB is parallel to line DE, determine how triangle ABC and triangle EDC can be shown to be similar. Since ∠ABC ≅ ∠EDC and ∠BAC ≅ ∠DEC, the triangles are similar by the angle-angle criterion. Since ∠ABC ≅ ∠EDC and AC ≅ BC, the triangles are similar by the angle-side criterion. Since ∠ABC ≅ ∠DEC and ∠BAC ≅ ∠EDC, the triangles are similar by the angle-angle criterion. Since CD ≅ CE and ∠BAC ≅ ∠DEC, the triangles are similar by the angle-side criterion. Since ∠ABC ≅ ∠EDC and ∠ACB ≅ ∠ECD, the triangles are similar by the angle-angle criterion. Since ∠ACB ≅ ∠ECD and ∠BAC ≅ ∠DEC, the triangles are similar by the angle-angle criterion.

Answered: Image /qna-images/answer/32f27699-a41c-4e39-86a5-84a4b0ea2248.jpg

Answered: Given that line AB is parallel to line…

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.2: Similar Polygons

Problem 35E

Related questions

Question

Given that line AB is parallel to line DE, determine how triangle ABC and triangle EDC can be shown to be similar.

Since ∠ABC ≅ ∠EDC and ∠BAC ≅ ∠DEC, the triangles are similar by the angle-angle criterion.
Since ∠ABC ≅ ∠EDC and AC ≅ BC, the triangles are similar by the angle-side criterion.
Since ∠ABC ≅ ∠DEC and ∠BAC ≅ ∠EDC, the triangles are similar by the angle-angle criterion.
Since CD ≅ CE and ∠BAC ≅ ∠DEC, the triangles are similar by the angle-side criterion.
Since ∠ABC ≅ ∠EDC and ∠ACB ≅ ∠ECD, the triangles are similar by the angle-angle criterion.
Since ∠ACB ≅ ∠ECD and ∠BAC ≅ ∠DEC, the triangles are similar by the angle-angle criterion.

Expert Solution