Triangle ABC is reflected across the y-axis to form the triangle A'B'C', then dilated with a factor of 1/3 to form triangle A"B"C". Which of the following statements is
true for AABC and AA"B"C'?
O A) AABC and AAB"C" are similar triangles.
B)
There's not enough information to identify whether AABC and AA"B"C" are
congruent or similar.
C) AABC and AA"B"C"are congruent triangles.
D AABC and AA"B"C" are neither similar nor congruent.

Given:

Triangle ABC is reflected across the y-axis to form the triangle A'B'C'.

Then dilated  with a factor of 1/3 to form triangle A"B"C".

To find:

The correct statement for triangles ABC and A"B"C".

Solution:

We know that reflection is a rigid transformation, it means size and shape of the figure remains same after reflection.

So, figures are always congruent to their images after reflection.

      ...(i)

Dilation is not a rigid transformation. Here, shape remains same nut the size is different.

So, figures are always similar to their images after dilation.

       ...(ii)

Using (i) and (ii), we get

ΔABC and ΔAB"C" are similar triangles.

Therefore, the correct option is A.

a framing bias

step-by-step explanation:

rodrigo is subject to a framing bias i believe.

jeff jeff

step-by-step explanation: