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Geometry

Geometry = Math of Euclid. Geometry is the Branch of math known for shapes (polygons), 3D figures, undefined terms, theorems, axioms, explanation of the universe, and pi.

500 Questions

Find the equation of the line joining the point -76-3 and 7-63?

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First find the slope 'm'

m = ( y(1) - y(2))/ (x(1) - x(2))

Hence

m = ( -3 - - 63) / ( -76 - 7)

m = 60/ -83 = -60/83

Hence

y = (-60/83)x + c

To find 'c' take either point and displace against x & y.

Hence

y - - 3 = ( -60/83) (x - -76)

y + 3 = (-60/83) ( x + 76)

Multiply through by '83'.

Hence

83y + 249 = -60x - 4560

83y = -60x - 4809

or

60x + 83y = -4809

or

60x + 83y + 4809 = 0

An area of a circle is 12.56 what is the radius of the circle?

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Radius: square root of (12.56/pi) = 2 rounded to nearest integer

A polygon with all sides congruent is?

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A giant ladybug!* * * * *

Oh, that is soooo funny!

The correct answer is equilateral. If all the angles are also congruent, then the polygon is said to be regular.

The area of a triangle is 216 square units if the height is 18 units what is the length of the base?

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The formula for the area of a tirangle is base x height divided by 2 (bh/2). You can use the formula to find the length of the base:

(b x h)/2 = area (next substitute with the known numbers)

(b x 18)/2 = 216 (next divide both sides of the equation by 2)

b x 18 = 108 (next divide both sides by 18 to find the base)

b = 6

How many squares are in a cube?

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It depends on what you define as a "square". If you are talking about the faces of the cube, then there are 6. If you are talking about actual squares, then there is no answer without specifying the size of the squares and the size of the cube and possibly other factors.

What has the same prefix as a decagon?

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A decagon has the same prefix as a decimeter, which is "deca-". Both terms indicate a quantity of ten.

Is A radius is an angle that connects to any point on the circle to the center of that circle?

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The question is:

Is A radius is an angle that connects to any point on the circle to the center of that circle?

A Radius is a straight line coming from any point of the circle to the center of the circle. And remember that the Diameter is a straight line coming from any point of the circle and going straight through the center to the other side of the circle. The Radius is ALWAYS half of the Diameter; and, the Diameter is ALWAYS twice the Radius.

How many triangles make a rhombus?

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Two equilateral triangles can form a rhombus- it can also be formed by using a higher number of isosceles triangles.

What size is a acute angle?

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Any angular size between 0 and 90 degrees.

An OBTUSE angle is one whose size is between 90 & 180 degrees.

A REFLEX angle is one whose angle is between 180 & 360 degrees.

NB To correct your English grammar . The question should read ' What size is an acute angle'.

When the noun following the indefinite article 'a', begins with a vowel 'a,e,i,o,u'. then the indefinite article is 'an'. In this case it is 'an acute', NOT 'a acute'.

What is concurrent schedule?

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A concurrent schedule is a type of schedule in which tasks or processes are executed simultaneously, often to increase efficiency and reduce overall execution time. It allows multiple operations to run concurrently, taking advantage of parallel processing capabilities in computer systems. This approach can lead to improved performance and resource utilization.

Are all triangles acute?

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NO!!!

Equilateral ; All angles acute (60 degrees) ; all sides the same length

Isosceles ; Two angles are equal, the third angle may be acute or obtuse ; two sides are equal , third side unequal

Right- Angles Triangle ; Maybe Isoscles , but MUST have one right angle(90 degrees)

Scalene ; All angles are different, may be obtuse ; All sides are different.

NB Any angle less than 90 degrees is Acute

Any angle greater than 90 degrees but less than 180 degrees is Obtuse

Any angle greater than 180 degrees (- 360 degrees) is Reflex.

Which triangle has one line of symmetry?

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An ISOSCELES TRiangle.

The line of symmetry is from the angle of the two equal adjacent sides, to the mid-point of the NON-equal side.

Is 16 plus 30 equals 36 a right triangle?

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NO!!!!

To prove a Right Angled triangle, use Pythagoras.

h^2 = a^2 + b^2

h^2 = 36

a^2 = 16

b^2 = 30

Hence

30 + 16 = 46 does NOT equal 36 . So it is NOT a right angled triangle.

Why do 90 percent of the girls sit with one leg over the other?

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Sitting with one leg crossed over the other may be a comfortable or habitual position for many individuals, regardless of gender. It can also be influenced by cultural norms or societal expectations.

What is the area of a circle if the diameter is 9.6 m in terms of pi?

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78.1434653653322436363636363642524

rounded: 903723781278128747070124

What polygon has 2 sets of parallel sides and 2 equal sides?

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There are may posibilities.

If it is a 4-sided figure, then a parallelogram. But if it has only two equal sides, it cannot be a rhombus (or square, which is a special case of rhombus).

It could also be a pentagon with vertices at A=(0,0), B=(2,0), C=(3,1), D=(3,2) and E= (0,2). Then AB and ED are parallel (both to the x-axis), and AE and CD are parallel (both to the y-axis). Also, AB and AE are both 2 units long. In this configuration, the x-coordinate of C and D could take almost any value as long as it was the same for these two points.

Then there are hexagons, heptagons etc, etc that can satisfy the requirements.

What is the sum of the interior angles of a 102 sided-polygon?

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Remember the two equations.

Exterior angle = 360 / no. of sides.

Interior angle = 180 - exterior angle.

So for 102 sided polygon.

exterior angle = 360/102 = 3.5294...

Interior angle = 180 - 3.5294... = 176.4706....

Hence sum of the 102 sided polygon's angles is

102 X 176.4706 = 18,000 degrees. ( to nearest degree).

What is the distance between points -6 0 and -3 1?

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Apply Pythagoras.

d^2 = (-6--3)^2 + ( 0 - 1)^2

d^2 = ( -3)^2 + ( -1)^(2)

d^2 = 9 + 1

d^2 = 10

d = sqrt(10) = 3.1622....

What are advantage of using baseline in survey?

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Using a baseline in a survey helps to establish a starting point for data analysis and comparison over time. It provides a reference to measure changes and track progress. Baselines can also help to identify trends, set realistic goals, and evaluate the effectiveness of interventions or strategies.

Should school classes be capitalized in a sentence?

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Only when it's part of the title of a school. For example: John Smith High School.

What is the surface area of a 1-cm cube?

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Six square centimetres