Respuesta :

Answer:

If the line RS has been rotated 90 degrees, then VU will be perpendicular to RS and the two slopes must be opposite and reciprocal, i.e. product of the two slopes will equal -1.

As a verification, we find the locations of V and U from rotations of R & S.

(actually, the triangle had been rotated -90°, 90 ° clockwise)

Step-by-step explanation:

Slope RS, m1:

Slope VU, m2

Hence m1*m2=1*-1=-1, meaning that m1 and m2 are opposite (in sign) and are reciprocal to each other, as expected

khuranashilpa76

The lines RS and VU have the opposite and reciprocal slopes because                               Slope of QRS is 1, where as Slope of TVU is -1

What is slope of a triangle?

Slope of a triangle represents the angle that are formed between positve X-axis moving anticlockwise towards y-axis.

  • The slope of  triangle QRS,

RQ=3

SQ=3

 slope (Tan∅)=[tex]\frac{perpendicular}{base}[/tex]

                       =RQ/SQ

                        =3/3 =1

           TanФ=45°

  • The slope of triangle TUV,

UT=3

VT=-3

 slope (Tan∅)=[tex]\frac{perpendicular}{base}[/tex]

                       =UT/VT

                        =3/-3 =-1

           TanФ=135°

Slope of QRS is 1, where as

Slope of TVU is -1

∴ RS and VU have the opposite and reciprocal slopes.

Learn more about slope here: https://brainly.com/question/3493733

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