Geometry

Q:

What is the definition of "plane trigonometry"?

A:

"Plane trigonometry" is a branch of mathematics that focuses on the relationship between the sides and angles of a triangle. Plane trigonometry builds upon the basic concepts of Euclidean geometry, and it has applications in a variety of mathematical fields, from physics to advanced calculus.

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• Q:Who is the father of geometry?

A: Euclid of Alexandria is called the Father of Geometry. He received his education at Plato's Academy in Greece and moved to Egypt to teach. He taught during the reign of Ptolemy I Soter, the first Macedonian ruler. Euclidian geometry has been taught in schools for a long time.
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• Q:How do you calculate the square feet of an area?

A: Area is the space covered by a two-dimensional shape. The two dimensions are often expressed in terms of length and height or length and width. Multiplying length by height gives the area of rectangular objects. If these objects are measured in feet, the area is in square feet.
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• Q:How do you find the square footage of a triangular shape?

A: A triangle is a three-sided polygon, existing in various lengths and forms. To calculate square footage of a triangular shape, you need to calculate the area of the triangle with feet as the unit of measurement.
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• Q:What are examples of vertical angles in real life?

A: Examples of vertical angles in real life settings include the black and white railroad crossing signs found on roadways near railroads, open scissors and the letter "X." Other examples include the point where ceiling beams intersect in a somewhat x shape, and in a kite where two wooden sticks hold it together.
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• Q:How is the Pythagorean theorem used today?

A: The Pythagorean theorem is used today in construction and various other professions and in numerous day-to-day activities. In construction, this theorem is one of the methods builders use to lay the foundation for the corners of a building. This special triangle is useful when they do not have a carpenterâ€™s square, which is a tool for constructing right angles.
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• Q:What angle is zero degrees?

A: A zero degree angle appears as a straight line that travels from the point of inception to the right or positive side of a number line. If the line travels both left and right from the point of inception, it is considered a 180 degree angle or straight angle.
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• Q:How is geometry used in real life?

A: Many occupations including architects, designers, farmers, construction workers and medical professionals incorporate geometric concepts into their work. Even individuals outside of these professions use geometry when measuring walls, calculating how much paint is needed for a project or determining whether new furniture can fit through a door. Geometry is a practical guide for measuring lengths, areas and volumes.
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• Q:What does congruent mean in math?

A: Congruent refers to two things being the same exact shape and measure. For example, if two angles are congruent, the degrees of each angle are identical.
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• Q:What is the lateral area of a pyramid?

A: The lateral area of a pyramid is the total surface area of the pyramid excluding the base. The formula for the lateral area of a regular pyramid is half the slant height multiplied by the perimeter. If the pyramid is irregular, calculation of the lateral area involves more complex equations and depends on the shape of the base.
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• Q:What is a landmark number?

A: Landmark numbers are familiar landing places that make solving math problems easier, such as multiples of tens or hundreds. Familiarity with these numbers is vital to understanding numbers and their relationships with one another.
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• Q:What are the rules for a special right triangle?

A: The rules of a special right triangle concern the angles of the triangle. A special right triangle is one with the angles 30, 60 and 90 degrees. A right triangle with the angles 45, 45 and 90 degrees is another special triangle.
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• Q:How do you read a protractor?

A: A protractor is an inexpensive math tool used to measure the sharpness of an angle in a geometric shape. Reading a protractor is fairly simple.
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• Q:What is a symmetrical pattern?

A: A symmetrical pattern is a pattern in which converging lines form an angle that somewhat resembles an acute angle. When two patterns are symmetrical, one becomes exactly like another when flipped or turned, according to Primary Resources.
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• Q:What is a geometric constraint?

A: A geometric constraint is a limitation placed on an object, which can have two dimensions or more, because there are zero degrees of freedom. An object that is fully constrained cannot be geometrically altered; in other words, its angles and side lengths and positions cannot be changed unless the specification of one of the existing dimensions is altered first.
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• Q:What is the equation for height, width and length?

A: The equation for height, width and length would equal the volume of a cube or a rectangular solid. Length times width equals area, then multiplying area by height equals volume.
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• Q:What are perpendicular lines?

A: Perpendicular lines are those that form a right angle at the point at which they intersect. Parallel lines, though in the same plane, never intersect.
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• Q:What is frictional force?

A: Frictional force is the force created by two surfaces contacting and sliding against each other. There several different forms of frictional forces, such as dry friction and fluid friction.
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• Q:What are geometric patterns?

A: A geometric pattern is a pattern consisting of lines and geometric figures, such as triangles, circles and squares, that are arranged in a repeated fashion. Geometric patterns are found in many places, including art and architecture, and they tend to be symmetrical.
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• Q:What are some real world examples of an obtuse angle?

A: Obtuse angles are seen on most house rooftops, as the two roof surfaces slope down from it. Other real world examples of an obtuse angle include the angle between the screen and the base of an opened laptop, a hockey stick, an accordion hand fan and between the wings of a boomerang. In general, obtuse angles are observed whenever two sides, arms or surfaces deviate widely.
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• Q:How do you find the intersection of two lines?

A: To find the intersection point of two lines, you must know both lines' equations. Once those are known, solve both equations for "x," then substitute the answer for "x" in either line's equation and solve for "y." The point (x,y) is the point where both lines intersect.
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• Q:Why do you use graphs and charts?

A: Graphs and charts are used to make information easier to visualize. Humans are great at seeing patterns, but they struggle with raw numbers. Graphs and charts can show trends and cycles.
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