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owenflo

Member

Registered: 2014-07-21

Posts: 115

Similar Polygons- please someone help

Find the scale factor of each if the polygons are proportional. Just like examples 1 and 3.

1. A = 2, 6, 8, 9 B = 4, 12, 16, 18

Aprop, s.f.= 1:4
Bprop, s.f.= 1:9
Cprop, s.f.= 1:5
Dprop, s.f.= 1:2
E prop, s.f.= 1:10
F prop, s.f.= 1:3

2. A = 2, 3, 6, 10 B= 6, 9, 18, 30

Aprop, s.f.=1:9
Bprop, s.f.=1:3
Cprop, s.f.=1:16
Dprop, s.f.=1:2
E prop, s.f.= 1:18
F prop, s.f.= 1:6

3. A = 7, 10, 14, 15 B = 17.5, 25, 35, 37.5

AProp, s.f. = 1:9
BProp, s.f. = 3:8
CProp, s.f. = 2:7
DProp, s.f. = 4:9
E Prop, s.f. = 6:7
F Prop, s.f. = 2:5

4. A = 4, 4, 5, 6 B = 1.2, 1.2, 1.5, 1.8

AProp, s.f. = 6:4
BProp, s.f. = 9:2
CProp, s.f. = 1:10
DProp, s.f. = 11:9
E Prop, s.f. = 10:3
F Prop, s.f. = 5:2

5. A = 9, 10, 16, 19 B = 41.4, 46, 73.6, 87.4

AProp, s.f. = 0.217
BProp, s.f. = 0.318
CProp, s.f. = 0.421
DNot prop
E Prop, s.f. = 0.294
F Prop, s.f. = 0.721

6. A = 4, 9, 10, 14 B = 4.8, 10.8, 12, 16.8

AProp, s.f. = 0.227
BProp, s.f. = 0.756
CProp, s.f. = 0.841
D Prop, s.f. = 0.621
E Prop, s.f. = 0.124
F Prop: s.f. = 0.833

7. A = 7, 7, 21, 23 B = 28.7, 28.7, 86.1, 94.3

AProp, s.f. = 0.244
BProp, s.f. = 0.215
CProp, s.f. = 0.284
DProp, s.f. = 0.297
E Prop, s.f. = 0.236
F Prop, s.f. = 0.212

8. A = 11, 11, 16, 19 B = 16.5, 16.5, 24, 28.5

AProp, s.f. = 4:7
BProp, s.f. = 2:3
CProp, s.f. = 3:9
DNot prop
E Prop, s.f. = 4:5
F Prop, s.f. = 7:1

9. A = 4.4, 8.1, 20.1, 24.1 B = 15.4, 28.35, 70.35, 84.35

AProp, s.f. = 2:3
BProp, s.f. = 1:2
CProp, s.f. = 10:4
DProp, s.f. = 2:7
E Prop, s.f. = 6:10
F Prop, s.f. = 4:8

10. A = 1.2, 4.9, 18.6, 21.6 B = 0.24, .098, 3.72, 0.98

AProp, s.f. = 2:3
BProp, s.f. = 1:2
CProp, s.f. = 7:4
DNot prop
E Prop, s.f. = 7:8
F Prop, s.f. = 10:2

With this next set of problems, I will give you the first polygon and the scale factor, you find the similar polygon, just like example 2 and 4.

11. A = 2, 3, 7, 10
SCALE FACTOR = 2

A6, 9 ,12, 15
B2, 5, 10, 12
C4, 6, 14, 20
D1, 5, 8, 15
E 9, 10, 14, 25
F 4, 8, 18, 23

12. A = 2, 5, 6, 9
SCALE FACTOR = 3

A8, 10, 22, 34
B3, 8, 15, 29
C7, 12, 16, 22
D6, 15, 18, 27
E 2, 15, 18, 30
F 18, 20, 29, 34

13. A = 5, 10, 13, 15
SCALE FACTOR = 0.5

A3.4, 8, 10.1, 20
B6, 7.2, 12.1, 18
C2.5, 5, 8, 11
D4, 5.5, 6.6, 10
E 2.5, 5, 6.5, 7.5
F 7.5, 9, 10.9, 16.7

14. A = 4, 5, 6, 15
SCALE FACTOR = 1.5

A4, 8.7, 11.2, 22
B5, 7.3, 9.1, 15
C8, 9.2, 15, 17.1
D6, 7.5, 9, 22.5
E 7.4, 5, 8.3, 9.1
F 9.9, 12, 18.2, 25

15. A = 2, 5, 16, 19
SCALE FACTOR = 2.9

A2.3, 5.5, 7.9, 9.5
B6.4, 9.2, 11.4, 25.2
C6, 7.8, 9.2, 13.5
D19, 26.8, 37, 42.5
E 5.8, 14.5, 46.4, 55.1
F 14, 17.4, 22.4, 32.9

16. A = 4, 5, 8, 16
SCALE FACTOR = 4.5

A18, 22.5, 36, 72
B10.4, 18, 29.2, 34
C5.2, 9.6, 10, 19.2
D3.5, 9, 15.4, 29
E 16, 19.3, 26, 28
F 20.2, 26, 29.9, 37.2

17. A = 1, 8, 18, 19
SCALE FACTOR = 2.8

A13, 19.6, 23.3, 36
B2.9, 9.9, 25.2, 48.7
C14, 18.8, 24.2, 38.8
D5, 9.2, 10, 13.4
E 7.4, 8.9, 13.2, 19.1
F 2.8, 22.4, 50.4, 53.2

18. A = 2, 3, 9, 14
SCALE FACTOR = 3.9

A2.4, 5.6, 7.8, 10.9
B9.2, 13.1, 27, 31.1
C6.4, 9.2, 18, 22.4
D7.8, 11.7, 35.1, 54.6
E 4.7, 8.2, 12.5, 24.2
F 3.9, 7.5, 10.2, 26.1

19. A = 0.7, 3.6, 7.7, 8
SCALE FACTOR = 2.6

A1.99, 9.26, 13.57 26.02
B2.91, 6.25, 7.18, 9.29
C6.75, 9.21, 10.01, 18.45
D3.74, 9.28, 40.05, 44.21
E 1.82, 9.36, 20.02, 20.8
F 5.29, 6.82, 9.71, 15.90

20. A = 8.2, 14.5, 15, 18.5
SCALE FACTOR = 4.6

A15, 26.1, 38.17, 41.07
B42.50, 65.98, 71.35, 75
C66.1, 72.8, 79, 86.04
D37.72, 66.7, 69, 85.1
E 10, 14.27, 19, 27.3
F 22.1, 27, 32.15, 40.05

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Similar Polygons- please someone help

1. A = 2, 6, 8, 9 B = 4, 12, 16, 18

Take a look at the first one of A and B, 2 and 4. Divide the first B which is 4 by the first A

4 / 2 = 2

Now divide the second one of B by the second one of A

12 / 6 = 2

continue like that for all four of A and B. What conclusion do you draw?

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

owenflo

Member

Registered: 2014-07-21

Posts: 115

Re: Similar Polygons- please someone help

1. D
2. B
3. F
4. C
my answers

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Similar Polygons- please someone help

Please check your thinking on 4), the rest are okay.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.