Question

8. For questions 8-9, determine whether the two figures are similar. If so, give the scale factor of the smaller figure to the larger figure.
8
A. yes; 1:3 (my choice)
B. yes; 1:2
C. yes; 1:5
D. no

9
A. yes; 1:1.6
B. yes; 1:1.4
C. yes; 1:2.6
D. No


PLEASE HELP ASAP

Answer 1

Question 8:

Your choice is correct: two figures are similar if all correspondant sides are in the same ratio.

In your case, the figure on the right have correspondant sides which are all three times the figure on the left, since

$12 = 4\times 3, 21 = 7\times 3, 54 = 18\times 3$

So, the two figures are similar and their ratio is 1:3.

Question 9:

We follow exactly the same approach: let's see if the radii and the heights are in the same ratio: the radii are in ratio

$\cfrac{3.2}{2} = 1.6 = \cfrac{16}{10} = \cfrac{8}{5}$

While the heights are in ratio

$\cfrac{6.4}{4} = 1.6 = \cfrac{16}{10} = \cfrac{8}{5}$

So, the answer is again yes, they are similar, and the ratio is 1.6.

Answer 2

1.d

2.b

3. a

4. b

5. b

6. d

7. c

8. a

9. a

10. b

11. b

12. b