Mathematics: What set of transformations is performed on triangle abc to form triangle a b c

What set of transformations is performed on triangle

kendallnowell18

03.01.2022

The correct option is C.

Step-by-step explanation:

From the given graph it is clear that the vertices of triangle ABC are A(4,-2), B(3,-2) and C(3,-5).

The vertices of triangle A'B'C' are A'(1,2), B'(2,2) and C'(2,5).

If a figure translated 5 units left, then

$(x,y)\rightarrow (x-5,y)$

The vertices of triangle after translation are

$A(4,-2)\rightarrow A_1(-1,-2)$

$B(3,-2)\rightarrow B_1(-2,-2)$

$C(3,-5)\rightarrow C_1(-2,-5)$

If a figure rotated 180° counterclockwise about the origin then

$(x,y)\rightarrow (-x,-y)$

The vertices of triangle after rotation are

$A_1(-1,-2)\rightarrow A'(1,2)$

$B_1(-2,-2)\rightarrow B'(2,2)$

$C_1(-2,-5)\rightarrow C'(2,5)$

The set transformation is " A translation 5 units to the left followed by a 180° counterclockwise about the origin".

Therefore the correct option is C.

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MajentaSnow66

22.07.2021

18/96

Step-by-step explanation:

in order to solve this we can multiply them but we have to multiply by the reciprocal of the second fraction. like this:

9/12*9/8

what i did is i flipped the second fraction and this gives us the reciprocal and allows us to just multiply across and get our answer.

hope this helps

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