The side AB measures option 2.
units long.
Step-by-step explanation:
Step 1:
The coordinates of the given triangle ABC are A (4, 5), B (2, 1), and C (4, 1).
The sides of the triangle are AB, BC, and CA. We need to determine the length of AB.
To calculate the distance between two points, we use the formula 
where (
) are the coordinates of the first point and (
) are the coordinates of the second point.
Step 2:
For A (4, 5) and B (2, 1), (
) = (4, 5) and (
) = (2, 1). Substituting these values in the distance formula, we get

So the side AB measures
units long which is the second option.
True!
<h2>
Explanation:</h2>
The Cartesian coordinate system is formed by two perpendicular axes, which are the x-axis and y-axis. In this problem, we are given two lines:

- The line
is parallel to the y-axis and has an undefined slope. - The line
is parallel to the x-axis and has a slope of zero.
Since the x and y-axes are perpendicular, then the lines
are also perpendicular.
<h2>Learn more:</h2>
Cartesian coordinate system: brainly.com/question/2141683
#LearnWithBrainly
Answer:
y + 2 =
(x - 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 4 =
(x - 3) ← is in point- slope form
with slope m = 
Parallel lines have equal slopes, thus equation of parallel line
with m =
and (a, b) = Q(1, - 2) is
y - (- 2) =
(x - 1) , that is
y + 2 =
(x - 1)
B. Right (they are 90° angles)
D. Adjacent (they share sides)
G. Supplementary (the total of the 2 angles is 180°)