Respuesta :
Question 1.
Match the terms to their definition.
1. perimeter: the distance around a polygon
2. area: the space inside a figure
3. quadrilateral: any four-sided polygon
4. trapezoid: a quadrilateral with one pair of parallel sides
5. parallelogram: a quadrilateral with two pairs of parallel sides
6. circumference: the distance around the outside of a circle
7. radius: the distance from the center to any point on the circle
8. diameter: the distance from one point to another on a circle, going through the center
Question 2.
Determine the circumference of a circle with a radius of 4 units.
C=2πr = 2*π*4 = 8π = 25.13
Question 3.
two pair of opposite parallel sides
two pair of opposite congruent angles
perpendicular diagonals
four sided figure
intersecting diagonals
Question 4.
P = 2(a+b)
P1 = 2(2a + 2b) = 2*2(a+b) = 2*P
increase by a factor of two
Hope that helps you
Match the terms to their definition.
1. perimeter: the distance around a polygon
2. area: the space inside a figure
3. quadrilateral: any four-sided polygon
4. trapezoid: a quadrilateral with one pair of parallel sides
5. parallelogram: a quadrilateral with two pairs of parallel sides
6. circumference: the distance around the outside of a circle
7. radius: the distance from the center to any point on the circle
8. diameter: the distance from one point to another on a circle, going through the center
Question 2.
Determine the circumference of a circle with a radius of 4 units.
C=2πr = 2*π*4 = 8π = 25.13
Question 3.
two pair of opposite parallel sides
two pair of opposite congruent angles
perpendicular diagonals
four sided figure
intersecting diagonals
Question 4.
P = 2(a+b)
P1 = 2(2a + 2b) = 2*2(a+b) = 2*P
increase by a factor of two
Hope that helps you
Answer:
Part 1.
1. perimeter -the distance around a polygon
2. area - the space inside a figure
3. quadrilateral - any four-sided polygon
4. trapezoid - a quadrilateral with one pair of parallel sides
5. parallelogram - a quadrilateral with two pairs of parallel sides
6. circumference - the distance around the outside of a circle
7. radius - the distance from the center to any point on the circle
8. diameter - the distance from one point to another on a circle, going through the center
Part 2.
Circumference is given by [tex]2\pi r[/tex]
given is that radius = 4 units
So, circumference = [tex]2\times3.14\times4[/tex] = 25.12 units
Part 3.
The following characteristics are possessed by a rhombus-
- two pair of opposite parallel sides
- two pair of opposite congruent angles
- perpendicular diagonals
- four sided figure
- intersecting diagonals
Part 4.
Perimeter of parallelogram is given by :
[tex]2(a+b)[/tex] where a is side and b is base
Lets say in first case the side is 5 units and base is 7 units.
Perimeter will be = [tex]2(5+7)[/tex]
=> [tex]2(12)[/tex] = 24 units
When the dimensions of a parallelogram are increased by a factor of two; then side will be 10 units and base will be 14 units.
New perimeter = [tex]2(10+14)[/tex]
=> [tex]2(24)[/tex] = 48 units
We can see that the new perimeter is double of the old one. Hence, the perimeter increases by a factor of two.