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43 votes
43 votes
Name the transformations that map line segment RS to line segment R"S".

Name the transformations that map line segment RS to line segment R"S".-example-1
User Gouthamsa
by
3.3k points

1 Answer

15 votes
15 votes

In this case, we'll have to carry out several steps to find the solution.

Data

RS :

R (-2 , 4)

S(-4 , -1)

R"S":

R"(3, -3)

S" (5 , 2)

Step 02:

We must check the options to find the solution.

A. reflection y = x (x ,y) ===> (y , x) , translation (x, y) ==> (x + 1 , y + 1)

R (-2 , 4) ==> R'(4 , -2) ===> R'' ( 5, -1)

S(-4 , -1) ===> S' (-1 , -4) ===> S" (0 , -3)

The transformation is not fulfilled.

B. rotation 180 (x,y) becomes (-x,-y) , translation (x, y) ==> (x + 1 , y + 1)

R (-2 , 4) ==> R'( 2 , -4) ===> R" ( 3 , -3)

S(-4 , -1) ===> S' (4 , 1) ===> S" (5 , 2)

The transformation is fulfilled.

The answer is:

B. rotation 180 (x,y) about the origin , translation (x, y) ==> (x + 1 , y + 1)

User Nikita Platonenko
by
3.0k points
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