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  1. Hello!

    A polygon is a closed figure. As you can see, B is made up of many lines but it is not closed. A is two polygons touching, but that does not mean the shape itself is a polygon

    Therefore, our answer is A) a and b.

    I hope this helps!

  2. You can use the formula [2(πr^2)+(2πrh) to find the surface area of a cylinder. First, you find the area of the circles, so 2(πr^2). You multiply it by two because there are two circles. Then, you have to find the area of the lateral surface. You can do this by finding the area of one of the circles and then multiply it by the height of the cylinder, so (2πrh). Finally, you just add both of those numbers to get the surface area of a cylinder. This works because when you find the surface area, you just find the area of what you can see, not the inside too. This equation does that and only finds the surface area of the cylinder.

    Step-by-step explanation:

  3. a) Yes b) Polygon ABCD ~ Polygon EFGH c) JKLM is 3x bigger than polygon ABCD

    Step-by-step explanation:

    (for part c)

    JM= 36

    AD= 12

    36/12= 3

    JKLM is 3x bigger than polygon ABCD

  4. Congruence and similarity are very important terms in geometry and indeed the wider field of maths, and are often confused or regarded as interchangeable. Yet there is a key difference.

    Congruent means 'identical'. In geometry this means it in the literal sense, i.e. two images are congruent only if they are exactly the same in size and shape. However another example might be modular arithmetic, where two integers can be considered congruent modulo N. This simply means the remainder of these two numbers, when they are each divided by N, is the same. But that's a little tangential in fairness...

    Similarity means things are in proportion. Any two squares are similar because by the nature of being a square, they have 4 right angles and equal side lengths. The ratio between any two given side lengths is always the same.

    But other shapes require more strictly conditions to be considered similar. For example there is a lot of flexibility in the shape of a triangle, depending on side lengths and angles. Two triangles can only be considered similar if they have the same 'general shape', which is interestingly governed solely by the angle choices. The angles have to be congruent, and then any two triangles with those combinations, whatever size, will be similar and hence have corresponding side lengths in a constant proportion.

    The answer is A therefore, as this principle can apply to any polygon. The other answers are pretty inappropriate or nonsensical too.

    I hope this helps you 🙂

  5. Answer

    Step-by-step explanation:

    A polygon is any 2-dimensional shape formed with straight lines. Triangles, quadrilaterals, pentagons, and hexagons are all examples of polygons. The name tells you how many sides the shape has. For example, a triangle has three sides, and a quadrilateral has four sides


  6. ♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

    ➷ As there would be 2 circles, you'd need to find the area of a circle and then multiply it by 2

    To start with, we can use this:

    2 ([tex]\pi[/tex]r^2)

    ^^ This represents the surface area of the two circles

    A cylinder also has a rectangle which is rolled to form the shape

    As we know, the formula of a rectangles area is length x width

    The width of the rectangle would be equal to the circumference of a circle

    circumference of circle = [tex]\pi d[/tex]

    The length of the rectangle would be the height of the cylinder

    We can use this:

    [tex](\pi d * h) + 2(\pi r^2)[/tex]

    This would calculate the surface area as it would find the area of the rectangle plus the area of the two circles.

    ➶ Hope This Helps You!

    ➶ Good Luck (:

    ➶ Have A Great Day ^-^

    ↬ ʜᴀɴɴᴀʜ ♡

  7. The area for a circle, is A = πr^2

    There is a top and bottom circle so you would multiply that by 2 to get 2πr^2

    Now to find the area of the lateral surface you need to find the circumference of the circle ( which would be the length of a rectangle)

    The formula for circumference is 2πr, then you need to multiply that by the height so you would have 2πrh ( this is equivalent to length x width).

    Now add both equations together to get total surface area:

    Surface area = 2πr^2 + 2πrh

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