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Write a proof. (image attached)Given: AB * BE = CB * BDProve: triangle ABC ~ triangle DBEthank you ! :)

Write a proof. (image attached)Given: AB * BE = CB * BDProve: triangle ABC ~ triangle-example-1
User Andrew Rasmussen
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1 Answer

12 votes
12 votes

Statement Reason

AB * BE = CB * BD Given

CB/BE = AB/BD Cross multiplication property

angle ABC is congruent to angle DBE Vertically opposite angles

Recall, according to the SAS(side angle side) postulate, two triangles are similar iff 2 of their corresponding sides are in proportion and the angle between them is congruent. From statement 2, the ratio of the corresponding sides are in proportion. From statement 3, the angles between the corresponding sides are congruent. Thus, the final statement is

Statement Reason

Triangle ABC is similar to triangle DBE SAS property of similarity

User Peiblox
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