The answer is rotated. When dilating figures, we either increase or decrease their dimensions. Knowing the scale factor is crucial as it indicates whether the figure enlarges or reduces; a positive scale factor suggests expansion, while a negative one indicates reduction. The center of dilation is where lines connecting the original and dilated shapes intersect. Conversely, to rotate a shape involves turning it around a designated fixed point known as the center of rotation.
Answer: OPTION C.
Step-by-step explanation:
It is essential to consider the following:
Dilation:
- A transformation where the image retains the same shape as the original but differs in size.
- Dilation maintains the order of points.
- Measurements of angles remain unchanged.
Translation:
- A transformation that keeps the image identical in size and shape to the original.
- Translation preserves the ordering of points.
- The angle measurements do not change.
Consequently, since Square T underwent translation followed by dilation to form Square T'', we conclude that the rationale explaining why they are similar is:
Translations and dilations maintain the order of points; thereby, the corresponding sides of squares T and T″ are proportional.
The value of x is 12. This can be found using the Pythagorean theorem with c equal to 13 and b equal to 5, where a equals x.
Answer:
D
Step-by-step explanation:
When you multiply 3/4 by A, B, or C, it results in a decimal value; however, multiplying 3/4 by 8 yields 6, which is a whole number.
Answer:
Steven is mistaken.
Step-by-step explanation:
Steven has
- 9 unique shirts
- 5 unique hats
- 4 unique scarves.
He selects only two out of the three types of clothing. The combinations can be calculated as
-
options to select a shirt and a hat; 
options to select a hat and a scarf;
options to select a shirt and a scarf.
In total, there are
different methods to choose just two out of the three clothing items.
As a result, 
Steven is not correct.
