What is the scale factor from Polygon A to Polygon B? Explain your reasoning.
1 answer:
A. Scale factor = 2
B. The missing length of each side of polygon B are: 3 and 5
C. The measure of each angle that is marked in Polygon A are:
53° and 82°.
<h3>How to Find the Scale Factor of Similar Polygons?</h3>Similar polygons have the same shape and size, hence, the length of their corresponding sides are proportional to each other, while their corresponding angle measures are congruent to each other.
Scale factor = dimension of new polygon / corresponding dimension of original polygon.
A. From the given image of the two polygons, we have the following:
Dimension of new polygon, A = 5
Corresponding dimension of original polygon, B = 2.5
Scale factor = 5/2.5
Scale factor = 2
B. The missing length of each side of polygon B are:
1.5 × scale factor = 1.5 × 2 = 3
2.5 × scale factor = 2.5 × 2 = 5
C. Both polygons are similar, therefore, they will have the same angle measures.
The measure of each angle that is marked in Polygon A are:
53° and 82°.
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*If you need me to do #5, DM me!
3. The area of a triangle can be given by (just plug and chug as always):
The area of the triangle is 6ft².
4. I will divide into a triangle and a rectangle (because the actual equation for the area of a pentagon requires it to be a perfect pentagon). Let's do the triangle first (height is 3 because you subtract 12 from 15):
Now we just add them:
So, the area of that pentagon is 108m².
5. You are actually wrong on this one because the area of a triangle is:
So, just halve your answer and it will be correct.
6. We can just split it into 4 triangles of equal area and then multiply the area of 1 triangle by 4 to get the total area. Let's do just that:
Multiply by 4 to get total area:
So, the area of the given rhombus is 25cm².
3. The area of a triangle can be given by (just plug and chug as always):
The area of the triangle is 6ft².
4. I will divide into a triangle and a rectangle (because the actual equation for the area of a pentagon requires it to be a perfect pentagon). Let's do the triangle first (height is 3 because you subtract 12 from 15):
Now we just add them:
So, the area of that pentagon is 108m².
5. You are actually wrong on this one because the area of a triangle is:
So, just halve your answer and it will be correct.
6. We can just split it into 4 triangles of equal area and then multiply the area of 1 triangle by 4 to get the total area. Let's do just that:
Multiply by 4 to get total area:
So, the area of the given rhombus is 25cm².