Question

1. two distinct lines, $ell$ and $m$, are each perpendicular to the same line $n$. select all the true statements.

a. lines $ell$ and $m$ are perpendicular.
b. lines $ell$ and $n$ are perpendicular.
c. lines $m$ and $n$ are perpendicular.
d. lines $ell$ and $m$ are parallel.
e. lines $ell$ and $n$ are parallel.
f. lines $m$ and $n$ are parallel.

Explanation:

Two distinct lines perpendicular to the same line are parallel (in a plane). Each is perpendicular to the common line.

Answer:

B. Lines ℓ and n are perpendicular., C. Lines m and n are perpendicular., D. Lines ℓ and m are parallel.