203k views
5 votes
AADE and ABC are similar. Which best explains why the slope of the line betweenpoints A and D is the same as the slope between points A and B?The triangles are similar, so the sides have equal lengths.Therefore, AD DB, so the slope of AD is the same as theslope of ABPoints A, D and B are on the hypotenuses of similar triangles.Therefore, AD AB, so the slope of AD is the same as theslope of ABDThe triangles are similar, so the sides are proportional:AE AC and DE BC! Therefore, DE so the slope of41AD is the same as the slope of AB.BCACThe triangles are similar, so the sides are proportional:Therefore, the slope of AD is the same as the slopeof ABMy ProgressCeny 2002 AS Antenereed These malenas cery portion where may not

User Ejolly
by
5.6k points

1 Answer

1 vote

We have similar triangles ADE and ABC

If the triangles are similar the sides are proportionales

+


\begin{gathered} (BC)/(DE)=(AC)/(AE) \\ \end{gathered}


(DE)/(AE)=(BC)/(AC)

therefore the slope AD is the same as the slope AB

User Ryre
by
5.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.