Question

Which description is true about ​ pre-image ABC ​ and ​ image A′B′C′ ​ ?

A The image is a rotation of the pre-image clockwise at 90°.
B The image is a reflection of the pre-image across the y-axis.
C The image is a dilation of the pre-image with a scale factor or 3.
D The image is a translation of the pre-image by moving up 2 units and to the right 2 units.

Answer 1

Answer:

It's both, C and D -> first you move than you scale

Step-by-step explanation:

Answer 2

The transformation of a shape involves changing the position and/or size of the shape to another. The transformation from $\triangle ABC$ to $\triangle A'B'C'$are:

• Dilate $\triangle ABC$ by scale factor 3 to give $\triangle A'B'C'$

• Move $\triangle ABC$ 2 units right and 2 units up to give $\triangle A'B'C'$

Given that:

$\triangle ABC$ and $\triangle A'B'C'$

Using AB and A'B' as points of reference, we have:

$AB =2$

$A'B' =6$

The scale of factor (k) is:

$k = \frac{A'B'}{AB}$

$k = \frac{6}{2}$

$k=3$

This means that $\triangle ABC$ is dilated by 3 to give $\triangle A'B'C'$ ---- option (C) is true

Also, using point A and A' as the points of reference

$A = (1,1)$

$A' = (3,3)$

The movement in xy direction is:

$xy = A' - A$

$xy = (3,3) - (1,1)$

$xy = (2,2)$

$\triangle A'B'C'$ is at the top right of $\triangle ABC$. This means that $\triangle ABC$ is translated 2 units up and 2 units right. ----- option (D) is true

Hence, the true descriptions about $\triangle ABC$ and $\triangle A'B'C'$ are (c) and (d).

Read more about transformations at:

https://brainly.com/question/10644134