Question

HELPP uh give an explanation too please!!

Answer 1

Explanation:

Question 3a

We know since these two polygons are similar that each side will be a multiple of the corresponding side of the other polygon.

In order to find the scale factor we simply need to find the relationship of these corresponding sides.

We can see on the topmost horizontal side the measurements for both polygon A and polygon B (which will be referred to PA and PB for the remainder here).
To find the relation from PA to PB, we divide the length from PB by the corresponding length from PA. like so.

5/2.5 = 2

Question 3b

Using the scale factor we learned in part a, we can multiply the lengths we have on PA to the corresponding lengths on PB. Like So;

2.5 x 2 = 5

1.5 x 2 = 3

Question 3c

Another thing we know because of the similarity is that all the angles between the two polygons will be identical to their corresponding counterparts.

Therefore, the two angles with the missing measurements are 82º and 53º respectively.

Question 4

For all parts of this, you need to use some problem solving skills.

4a

8 x __ = 40

Divide 40 by 8, then you get 5.

4b

8 + __ = 40

Subtract 8 from 40, then you get 32.

4c

21 / __ = 7

Divide 21 by 7 to get 3.

4d

21 - __ = 7

Subtract 7 from 21 to get 14.

4e

21 x __ = 7

(much Like part a) Divide 21 by 7 to get 3.

Answer 2

A.) scale factor is 1 : 2, explanation: the top side length of polygon A is 2.5 units and the top side length of polygon be is 5 units, 5/2.5 = 2 therefore the scale of polygon A to polygon B is 1:2.

If polygon B had a top side length of 7.5 units then 7.5/2.5= 3 so the scale factor would be 1:3

B.) since we know the scale factor is 1:2 we can just simply multiply the side lengths of polygon A by 2 to reveal the corresponding side lengths of polygon B

1.5 x 2 = 3
2.5 x 2 = 5
So the unknown side lengths of polygon B are 3 units and 5 units.

C.) Scale factor only changes the side lengths of a shape and not the angles, for example if square Ahad a side length of 5cm and square B had a side length of 10cm their scale factor would be 1:2 as well but the angles would not change between the two different squares they would both have four 90° angles, so in this case the angles of polygon A would be the same angles of polygon B: 53° and 82°

4.)
a.) 8 x 5 = 40
b.) 8 + 32 = 40
c.) 21 / 3 = 7
d.) 21 - 14 = 7
e.) 21 x 1/3 = 7