Question

Line mn is parallel to line pq, mp is perpendicular to mn, and nqis perpendicular to pq. consider each statement and determine whether it is true or false. circle the correct answer. options:

Answer 1

The true statements are:

• Lines mn and pq have the same slope
• The product of the slopes of mn and mp is -1

How to determine the true statements?

The lines are given as:

Lines mn, pq, mp, mn, nq and pq

From the question, the lines are either parallel lines or perpendicular lines

As a general rule,

Parallel lines have equal slope

This means that:

Lines mn and pq have the same slope

Assume two perpendicular lines have slopes m and n.

The relationship between their slopes is:

m * n = -1

This means that:

The product of the slopes of perpendicular lines mn and mp is -1

Hence, the true statements are (a) and (c)

Read more about parallel and perpendicular lines at:

brainly.com/question/7197064

#SPJ1

Complete question

Line mn is parallel to line pq, mp is perpendicular to mn, and nq is perpendicular to pq. consider each statement and determine whether it is true or false. circle the correct answer.

Pptions:

• Lines mn and pq have the same slope
• The slope of line pq is undefined.
• The product of the slopes of mn and mp is -1
• Lines mp and mq are parallel.