meredith48034
contestada

NO LINKS!!!

Describe the transformation from ΔABC to ΔA'B'C'. Is this a congruence or similarity transformation?

ΔABC: A(-3, 3), B(-3, 1)
ΔA'B'C': A'(6, 6), B'(6, 2), C'(2, 2)

Respuesta :

mhanifa

From the coordinates we can see the rule for this transformation is:

  • (x, y) → (-2x, 2y)

It is a dilation by a scale factor of 2 and reflection in the y-axis.

It means this is a similarity transformation, since the figure has changed its size.

semsee45

Answer:

Dilation of scale factor 2 centered at the origin, followed by a reflection in the y-axis.

Similarity transformation.

Step-by-step explanation:

Given vertices of ΔABC:

  • A = (-3, 3)
  • B = (-3, 1)
  • C = (-1, 1)

Given vertices of ΔA'B'C':

  • A' = (6, 6)
  • B' = (6, 2)
  • C' = (2, 2)

From observation, the series of transformations the transforms ΔABC to ΔA'B'C' are:

  • Dilation of scale factor 2 centered at the origin.
  • Reflection in the y-axis.

This is a similarity transformation as the two triangles have the same shape but different sizes.

Ver imagen semsee45

Otras preguntas