Answer:
The image of the point (1, -2) under a dilation of 3 is (3, -6).
Step-by-step explanation:
Correct statement is:
<em>What are the coordinates of the image of the point (1, -2) under a dilation of 3 with the origin.</em>
From Linear Algebra we get that dilation of a point with respect to another point is represented by:
(Eq. 1)
Where:
- Reference point with respect to origin, dimensionless.
- Original point with respect to origin, dimensionless.
- Dilation factor, dimensionless.
If we know that 
, 
and 
, then the coordinates of the image of the original point is:
![\vec P' = (0,0) +3\cdot [(1,-2)-(0,0)]](https://tex.z-dn.net/?f=%5Cvec%20P%27%20%3D%20%280%2C0%29%20%2B3%5Ccdot%20%5B%281%2C-2%29-%280%2C0%29%5D)
The image of the point (1, -2) under a dilation of 3 is (3, -6).
A translation 2 units to the left followed by dilation by 1/2.
The correct option is (B).
<h3>What is congruency?</h3>
It states that that two triangles are said to be congruent if they are copies of each other and when superposed, they cover each other exactly.
The complete question is:
Which of the following composition of transformations would create an
image that is not congruent to its original image?
A rotation of 45° followed by a reflection across the x-axis
A translation 2 units to the left followed by dilation by 1/2
A reflection across the y-axis followed by a rotation of 60°
A rotation of 135º followed by a translation of 4 units to the right.
After a translation of 2 units to the left followed by dilation by 1/2 the image will not be congruent to its original image.
All other options are reflection and rotation, which not fit into the situation.
Learn more about congruency here:
brainly.com/question/7888063
#SPJ1
Answer:
34%
Step-by-step explanation:
0.34 to turn to a percent move the decimal two times to the right
3.4 (decimal moved one time)
34 (decimal moved two times)
Answer:
290 m3
Step-by-step explanation:
I took the test
9514 1404 393
Answer:
- repeating
- repeating
- repeating
- non-repeating
Step-by-step explanation:
There are two ways that repeating decimals are indicated. One of them is putting an overbar over the digits that repeat. The other is to show the repeat of digits, followed by an ellipsis (...).
