Which lines must be parallel?
1 answer:
The lines that must be parallel are lines r and s. The correct option is A) r and s
<h3>Parallel lines </h3>From the question, we are to determine the lines that must be parallel to satisfy the given condition
The given condition is
∠5 ≅∠13
In the given diagram,
∠5 and ∠13 are corresponding angles
Corresponding angles are the angles that are formed when two parallel lines are intersected by the transversal.
In the diagram,
The transversal is line p which intersects lines r and s.
Therefore,
Lines r and s must be parallel lines
Hence, the lines that must be parallel are lines r and s. The correct option is A) r and s
Learn more on Parallel lines here: brainly.com/question/24213000
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Answer:
Midpoint = (3.5, 4.5)
Perpendicular bisector = y = x +
Step-by-step explanation:
[] We can solve this using the midpoint formula:
-> See attached
[] Plug-in our coordinates and solve:
[] Now we will find the slope to solve for the perpendicular bisector.
-> We will use slope-intercept form, see attached
-> The slopes of two perpendicular lines are negative reciprocals of each other, so will be the slope of or perpendicular bisector
-> Now we can solve for the equation by using y – y1 = m ( x – x1), were y1 and x1 are the coordinates of our midpoint
y - 4.5 = (x-3.5)
y - 4.5 = x-
y = x-
+ 4.5
y = x +
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
