blazncooki
contestada

Geometry help 30 points. plus brainliest..

1.Match the terms to their definition.

1. perimeter the distance around the outside of a circle
2. area a quadrilateral with one pair of parallel sides
3. quadrilateral a quadrilateral with two pairs of parallel sides
4. trapezoid the distance around a polygon
5. parallelogram the space inside a figure
6. circumference any four-sided polygon
7. radius the distance from one point to another on a circle, going through the center
8. diameter the distance from the center to any point on the circle

2.Determine the circumference of a circle with a radius of 4 units.

16 units
8 units
32 units
4 units

3.Which of the following characteristics does a rhombus possess that proves the figure to be classified as a quadrilateral and a parallelogram?
Select all that apply.

two pair of opposite parallel sides
two pair of opposite congruent angles
consecutive sides are perpendicular
perpendicular diagonals
four sided figure
intersecting diagonals
4.If the dimensions of a parallelogram are increased by a factor of two, how will the perimeter of the object be affected?

increase by a factor of four
decrease by a factor of one-fourth
increase by a factor of two
decrease by a factor of one-half

Respuesta :

ak78
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

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.