AIR MATH

Math Question

In this coordinate plane, the slope of line \( m \) is equal to the slope of line \( n . \) Complete the proof that line \( m \) is parallel to line \( n \). Two points on line \( m \) are \( A(0, a) \) and \( B(-b, 0) . \) So, the slope of line \( m \) is - Two points on line \( n \) are \( C(0,-c) \) and \( D(d, 0) \). So, the slope of line \( n \) is - The slope of \( m \) is equal to the slope of \( n \), which means - Further, since \( A E=a, B E=b, C E=c \), and \( D E=d \), - by substitution. Also, \( \angle A E B \) and \( \angle C E D \) are - , so they are congruent. Therefore, \( \triangle A B E \) and \( \triangle C D E \) are similar by the - Since corresponding angles of similar triangles are congruent, - are congruent. The \( x \)-axis is a transversal to line \( m \) and line \( n \) and the - \( \angle A B E \) and \( \angle C D E \) are congruent, so line \( m \) is parallel to line \( n \).

Solution

solution

AIR MATH homework app,
absolutely FOR FREE!

  • AI solution in just 3 seconds!
  • Free live tutor Q&As, 24/7
  • Word problems are also welcome!
appstoreplaystore

Scan the QR code below
to download AIR MATH!

qrcode