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These triangles are scaled copies of each other.



For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first?

a. Triangle G and Triangle F Response area

b. Triangle G and Triangle B Response area

c. Triangle B and Triangle F Response area

d. Triangle F and Triangle H Response area

e. Triangle G and Triangle H Response area

f. Triangle H and Triangle B Response area

These Triangles Are Scaled Copies Of Each Other For Each Pair Of Triangles Listed The Area Of The Second Triangle Is How Many Times Larger Than The Area Of The class=

Sagot :

mathstudent55

Answer:

a. 4

b. 1/4

c. 16

d. 1/9

e. 4/9

f. 9/16

Step-by-step explanation:

The ratio of the areas is the square of the ratio of the lengths of the sides.

a. Triangles G and F

Select a side in triangle G and the corresponding side in triangle F:

side in F: 10

corresponding side in G: 5

ratio of lengths of F to G = 10/5 = 2

ratio of areas of G to F: (2)^2 = 4

b. Triangles G and B

Select a side in triangle G and the corresponding side in triangle B:

side in G: 5

corresponding side in B: 5/2

ratio of lengths of B to G = (5/2)/5 = 1/2

ratio of areas of B to G: (1/2)^2 = 1/4

c. Triangles B and F

Select a side in triangle B and the corresponding side in triangle F:

side in B: 5/2

corresponding side in F: 10

ratio of lengths of F to B = 10/(5/2) = 4

ratio of areas of F to B: (4)^2 = 16

Do the same for the other 3 pairs of triangles.

The answers are:

d. 1/9

e. 4/9

f. 9/16

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