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Triangle ABC is to be dilated through point P with a scale factor of 3. How many units away from point A along ray PA will A’ be located?

Triangle ABC is to be dilated through point P with a scale factor of 3. How many units-example-1

2 Answers

3 votes

Answer:

10 units

Explanation:

User Kuzen
by
7.1k points
3 votes

Answer:

Point A' will be located 10 units away from point A along ray PA

Explanation:

we have

The scale factor is 3

step 1

Find out the distance PA'

we know that

The distance PA' is equal to multiply the distance PA by the scale factor

so


PA'=PA*3

we have


PA=5\ units

substitute the given values


PA'=(5)*3=15\ units

step 2

Find out how many units away from point A along ray PA will A’ be located

we know that


PA'=PA+AA'

we have


PA=5\ units


PA'=15\ units

substitute the given values and solve for AA'


15=5+AA'


AA'=15-5=10\ units

therefore

Point A' will be located 10 units away from point A along ray PA

User Priyan RockZ
by
7.8k points