Question

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.

Answer 1

The correct statements about his solution are as follows;

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

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

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

Given

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

Dilation;

Dilation does not change the shape of the object from preimage to image.

Scale factors can be fractions.

Dilations are proportional and relationships are multiplicative.

The applicable ratios are 5/3, 10/6, 12.5/7.5.

There are a number of ways to determine corresponding sides.

For a triangle, the sides can be ordered from smallest to largest.

The correct statements about his solution are as follows;

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

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

• Elijah should have compared the ratios re 5/3, 10/6, 12.5/7.5. to determine if they are equivalent.

To know more about dilation click the link given below.

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