Question

Which one of these transformations would produce an image that is not congruent to its pre‐image?

A dilation followed by a reflection
A rotation of 90 degrees about the origin
A translation of (x − 1, y − 3)
A rotation followed by a translation

Answer 1

I say D. I just need confirmation to know if im right

Answer 2

@3mar

Answer 3

@jim_thompson5910

Answer 4

@zepdrix

Answer 5

` A rotation followed by a translation` are both isometries. They preserve distances and lengths.

This means that if you rotate an object, it will keep the same shape, distances and lengths. The same applies for translations.

D is not the answer because they want something where it alters the shape or distances or lengths

Answer 6

Wait.. Are you SURE d is not the answer?? Cuz im preparing for a really serious exam next week with this question

Answer 7

@3mar you think its D or no?

Answer 8

Hello!

Let me see, please..

Answer 9

ok

Answer 10

Yes I'm sure @JULYAHX1

rotations, translations and reflections are isometries

http://mathworld.wolfram.com/Isometry.html

which keeps shapes, areas, lengths, distances etc all the same. If you have a triangle and you rotate it, then it stays the same. It's just now at a different angle now.

Answer 11

hint: the transformation will involve enlarging or shrinking an object

Answer 12

So A?

Answer 13

yes dilations will enlarge or shrink the figure. The two figures will be similar, but not congruent

Answer 14

Okay so A i will put for answer. Thank you for the help appreciate it

Answer 15

i have another question i just need confirmation on if thats okay

Answer 16

reflection
rotation
translation

All of these transformations do not result in changing or deforming the original shape\polygon\pre-image...

Dilation does...

Answer 17

im gonna post a question here tat i need confirmation on

Answer 18

The steps below describe the construction of a line AG which is parallel to segment PQ and passes through a point A outside of PQ:

Answer 19

In the next step the width of the compass is adjusted to DE. Which statement is true?

Point G is obtained by using the same compass width and drawing an arc from point E, intersecting the arc drawn from A.
Point G is obtained by using the same compass width and drawing an arc from point B, intersecting the arc drawn from A.
Point G is obtained by using the same compass width and drawing an arc from point D, intersecting the arc drawn from A.
Point G is obtained by using the same compass width and drawing an arc from point F, intersecting the arc drawn from A.

Answer 20

I say the answer is D. Do you guys agree?

Answer 21

It would better to start your new question in another new post if you don't mind! @JULYAHX1

Thank you.

Answer 22

ok

Answer 23

Using Resizing (dilation) leads to another larger or smaller shape, which is considered "Similar" to the pre-image, but not congruent...

I hope it is clearer now...