Math, asked by 88041669, 9 months ago

Elijah was trying to determine whether one triangle is a dilation of the other. Which statements about his solution are true? Check all that apply.

One triangle has side lengths of 3, 6, 7.5. Another triangle has side lengths of 5, 10, 12.5.


Elijah’s work:

3 is not a factor of 5, so it must be a relationship with addition.

3 + 2 = 5. 6 + 2 not-equals 10. 7.5 + 2 not-equals 12.5.

Therefore, the triangles are not proportional and cannot form a dilation.

Elijah did not know that scale factors can be fractions or decimals greater than zero.
Elijah did not know that dilations are proportional and the relationships are multiplicative, not additive.
Elijah should have compared the ratios Five-thirds = StartFraction 10 Over 6 EndFraction = StartFraction 12.5 Over 7.5 EndFraction to determine if they are equivalent.
Elijah needs to know which triangle is the pre-image and which triangle is the image in order to determine if they are proportional.
Elijah needs labels on the points to determine which sides correspond when writing the ratios.

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Answers

Answered by amitnrw
33

Given :   Elijah was trying to determine whether one triangle is a dilation of the other

To find : Which statements about his solution are true

Solution:

Elijah did not know that scale factors can be fractions or decimals greater than zero.   - TRUE

Elijah did not know that dilations are proportional and the relationships are multiplicative, not additive.  - TRUE

Elijah should have compared the ratios  5/3  , 10/6  , 12.5 / 7.5  if they are equivalent. TRUE

Elijah needs to know which triangle is the pre-image and which triangle is the image in order to determine if they are proportional. FALSE

Elijah needs labels on the points to determine which sides correspond when writing the ratios. - FALSE  - Can be self selected

Learn more:

solve the problem...​ - Brainly.in

https://brainly.in/question/8840598

Are the triangles in figure 1.56 similar? If yes, by which test ...

https://brainly.in/question/4559706

Answered by deceitfulone99
17

Answer:

A. B. C.

Step-by-step explanation:

I think. Hope this helps! Have a good day!

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