MATH SOLVE

5 months ago

Q:
# PLEASE HELP WILL GIVE BRAINLIEST AND 1O POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!The coordinates of the vertices of △RST are R(−4, −1) , S(−1, −1) , and T(−4, −2) .The coordinates of the vertices of △R′S′T′ are R′(1, −2) , S′(1, 1) , and T′(2, −2) . A sequence of transformations that maps △RST to △R′S′T′ is a *blank* followed by a *blank*.options: translation 2 units uptranslation 2 units downrotation of 180 degrees about the orginrotation of 90 degrees counterclockwise about the orgin

Accepted Solution

A:

1. Rotation of 90° counterclockwise about the orgin has a rule:(x,y)→(-y,x).ThenR(−4, −1)→R''(1,-4);S(−1, −1)→S''(1,-1);T(−4, −2)→T''(2,-4).2. Translation 2 units up has a rule:(x,y)→(x,y+2).Then:R''(1,-4)→R'(1,-2);S''(1,-1)→S'(1,1);T′'(2,-4)→T'(2,-2).Answer: 1st transforamation - option D, 2nd transformation - option A.