Question

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

Answer 1

Answer:

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.

Answer 2

Reflection over x-axis and Translation