The answer choice which is the characteristic of dilations comparing both segments is; A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image
<h3>Which answer choice compares segment E'F' to segment EF?</h3>
By consider the coordinates of the quadrilaterals EFGH and E'F'G'H' as given in the task content image, it follows that the coordinates are as follows;
- E(0, 1), F(1, 1), G(2, 0), and H(0, 0)
- E'(-1, 2), F'(1, 2), G'(3, 0), and H'(-1, 0)
Upon computation of the length of the segments, it follows that the two segments are in proportions. Hence, the answer choice which is correct is; A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image.
Remark:
- A segment that passes through the center of dilation in the pre-image continues to pass through the center of dilation in the image.
- A segment in the image has the same length as its corresponding segment in the pre-image.
- A segment that passes through the center of dilation in the pre-image does not pass through the center of dilation in the image.
- A segment in the image is proportionally longer or shorter than its corresponding segment in the pre-image.
Read more on length of segments;
brainly.com/question/24778489
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Let's call that number x, twice the number will be 2x, sum of it and 5 is, 2x+5. So if this expression is at most 15, it means, it can be only less than 15 and equal to 15. Let's show this as an inequality.
Let's solve.
![x\quad \in \quad \left[ -\infty ,5 \right]](https://tex.z-dn.net/?f=x%5Cquad%20%5Cin%20%5Cquad%20%5Cleft%5B%20-%5Cinfty%20%2C5%20%5Cright%5D%20)
If the number is a natural number. The values it can take is,
![x\quad \in \quad \left[ 0,1,2,3,4,5 \right]](https://tex.z-dn.net/?f=x%5Cquad%20%5Cin%20%5Cquad%20%5Cleft%5B%200%2C1%2C2%2C3%2C4%2C5%20%5Cright%5D%20)
Answer:
Option (4)
Step-by-step explanation:
From the figure attached,
∠b = 75° [Vertical angles]
If the lines f and g are parallel then,
∠b = ∠c [Corresponding angles]
Therefore, ∠c = 75°
Since m∠c + m∠d = 180° [Supplementary angles]
75° + m∠d = 180°
m∠d = 180° - 75°
m∠d = 105°
Therefore, measure of angle d should be equal to 105° to prove f and g are parallel.
Option (4) will be the answer.
0.865, 0.4444, -6.37, -11.11
Rational are decimals / fractions
