Please help me ASAP! 50 Points for Correct answer!! Quadrilateral WXYZ is on a coordinate plane. Segment XY is on the line x - y
= -3, and segment WZ is on the line x - y = 1. Which statement proves how segments XY and WZ are related? A: They have slopes that are opposite reciprocals of 1 and -1 and are, therefore, perpendicular. B: They have the same slope of 1 and are, therefore, parallel. C: They have slopes that are opposite reciprocals of 0 and undefined and are, therefore, perpendicular. D: They have the same slope of -1 and are, therefore, parallel.
1 answer:
Step-by-step explanation:
Please help me ASAP!
50 Points for Correct answer!!
Quadrilateral WXYZ is on a coordinate plane.
Segment XY is on the line x - y = -3, and segment WZ is on the line x - y = 1. Which statement proves how segments XY and WZ are related?
A: They have slopes that are opposite reciprocals of 1 and -1 and are, therefore, perpendicular.
B: They have the same slope of 1 and are, therefore, parallel.
C: They have slopes that are opposite reciprocals of 0 and undefined and are, therefore, perpendicular.
D: They have the same slope of -1 and are, therefore, parallel.
x-y = -3 => y = x+3...........(1) => slope = coefficient of x = 1
x-y = 1 => y = x-1 ..............(2) => slope = coefficient of x = 1
Therefore the correct statement is
They have the same slope of 1 and are, therefore, parallel.
(see also graph, attached)
You might be interested in
Refer to the image attached.
Given: and
are congruent.
To Prove: ABC is an isosceles triangle.
Construction: Construct a perpendicular bisector from point B to Line segment AC.
Consider triangle ABD and BDC,
(given)
(By the definition of a perpendicular bisector)
(By the definition of a perpendicular bisector)
Therefore, by Angle Side Angle(ASA) Postulate.
Line segment AB is congruent to Line segment BC because corresponding parts of congruent triangles are congruent.(CPCTC)
