Post a New Question

Geometry Help

posted by .

Out of 60 review questions I struggled with these ones. Someone please help!!

1.) The length of one side of a regular polygon is half the length of a similar polygon. What is the ratio of their areas?
a.)1/2
b.)1/4
c.)1

2.)A patchwork quilt is made up of two different sized squares. The length of the larger square is twice the length of the smaller square. How many of the smaller squares does it take to equal the area of one larger square?
a.)2
b.)4
c.)8

3.)In any prism, the lateral edges are congruent and parallel.
a.)Sometimes true
b.)always true
c.)Never true

4.)A measuring cup is shaped like a cylinder and has a radius of 5 cm. It is filled with milk to a height of 2 cm. What is the lateral area of the milk in the measuring cup?
a.)20Ï€ cm^2
b.)10Ï€ cm^2
c.)40Ï€ cm^2

5.)If a pyramid with a square base with its side measuring 6 m and its altitude of 3 m were circumscribed by a cone, what would be the ratio of the square base area to the circular base area?
a.)1 to π
b.)1 to 0.5Ï€
c.)1 to 2Ï€

6.)A magician has a conical hat that has a height of 1 m and a radius of 0.3 m. The hat does not fit his head. In order for the hat to fit perfectly, the radius needs to be 0.5 m. The magician can change the size of the hat with a spell, but the spell only changes the height of the hat, not the volume. After he performs the spell, what is the new height of the magician's hat if it has the desired radius of 0.5 m.
a.)0.03 m
b.)1.8 m
c.)0.36 m

  • Geometry Help -

    1) For two similar shapes, the area ratio is the square of the length ratio for corresponding sides.
    (1/2)^2 = __
    2) Same principle as the last problem
    3) I had to review the definition of prism. The ends have to be parallel, and the sides have to be parallelograms, not necessarily rectangles. The paralleogram-face requirement would make the edge lengths equal or "congruent", and parallel
    4)2 pi R H = ___
    5) The same as the ratio of the area of a square to that of a circumscribed circle. The height does not matter.
    2/pi = 1/(0.5 pi)
    6) R^2 H must remain constant
    H2/H1 = (R1/R2)^2 = (3/5)^2 = 9/25
    H2 = (9/25)*1 = 0.36

  • Geometry Help -

    Thanks:)

  • Geometry Help -

    5. b

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Geometry

    In a regular polygon (equal sides and angles), you use (n-2)180 to find out what the interior angle sum is (n=number of sides in polygon) and you divide by that number by whatever n is to find out the measure of an individual angle, …
  2. math

    Two 7-sided polygons are similar. A side of the larger polygon is 6 times as long as the corresponding side of the smaller polygon. What is the ratio of the area of the larger polygon to the area of the smaller polygon?
  3. algebra

    The apothem of a regular polygon is the distance from the center of the polygon to a side. Explain how to derive a formula for the area of a regular polygon using the apothem.
  4. algebra

    the apothem of a regular polygon is the distance from the center of the polygon to a side. Explaiin how to derive a formula for the area of a regular polygon using the apothem.
  5. math

    A side of regular polygon is 3.5 cm in length.the perimeter of the polygon is 17.5 cm. How many sides does the polygon have?
  6. GEOMETRY(POLYGON)

    A regular polygon has interior angles of 150∘. A,B,C,D are 4 consecutive points of this polygon. What is the measure (in degrees) of ∠ADC?
  7. algebra

    the sides of a polygon are 8, 9, 29, 24, and 14 centimeters long. findd the length of the longest side similar polygon whose shortest side is 2.
  8. geometry

    the ratio of the length of the corresponding side of two regular polygons is 3:4. the are of the larger polygon is 320m^2. what is the are of the smaller polygon?
  9. math

    The ratio of one side of a polygon to the corresponding side of a similar polygon is 5:8 The perimeter of the second polygon is 96. What is the perimeter of the first polygon.
  10. math

    The apothem of a regular polygon is the distance from the center to any side. If the length of the apothem remains constant at 10 inches, the formula for the perimeter of a regular polygon as a function of the number of sides is ( …

More Similar Questions

Post a New Question