If a figure has been dilated by a scale factor of 2, which transformation could be used to prove the figures are similar using the AA similarity postulate?

Question

Hero · Answer

@laurenr729 would you mind posting the complete problem including diagrams etc.

laurenr729 · Answer

A. A reflection to map at least two sides of the image to two sides of the pre-image.
B. A series of dilations to map at least two angles of the image to two angles of the pre-image.
C. A rotation to map at least two sides of the image to two sides of the pre-image.
D. A series of translations to map at least two angles of the image to two angles of the pre-image.

laurenr729 · Answer

There was no diagram or picture included unfortunatly

Hero · Answer

No problem. We'll work with what we have

laurenr729 · Answer

alright then

Hero · Answer

One moment

Hero · Answer

Okay, hang on for a minute allow me to post a link.

laurenr729 · Answer

okay

Hero · Answer

having some technical difficulties bare with me. Won't be long now

laurenr729 · Answer

take your time!

Hero · Answer

|dw:1577312990871:dw|

Hero · Answer

Sorry that took so long. There is a way to link you directly to the file I created using geogebra but that feature doesn't seem to be working right now.

laurenr729 · Answer

no worries!

Hero · Answer

Anyways, here we have two figures. $\triangle{ABC}$ and $\triangle{A'B'C'}$

Hero · Answer

Note that $\triangle{A'B'C'}$ is the dilation of $\triangle{ABC}$ by a factor of 2

Hero · Answer

From here we can observe and consider the correct option.

Hero · Answer

There are two options that we can eliminate immediately. Which two options are those?

laurenr729 · Answer

would it be C and D that we eliminate??

Hero · Answer

I'll give you another chance on this. It's pretty easy to see which two options can be eliminated. The goal is to prove the figures similar using AA Similarity. The AA represents (Angle-Angle). That's your clue

laurenr729 · Answer

is it A and C??

Hero · Answer

Correct. Those are the two options we can eliminate.

laurenr729 · Answer

im guessing the answer would be D?

Hero · Answer

Actually,  D is correct because we cannot dilate the angle. That would widen the angle and make it bigger than we want so we can only translate the angles. Correct.

Hero · Answer

Great job on this

laurenr729 · Answer

thank you for the help!

Hero · Answer

You're welcome