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Properties of parallelograms

1st Property The opposite sides of a parallelogram are congruent. H: ABCD is parallelogram. T: Demonstration: Affirmative 1. 2. Justification 1. Parallel to Parallel Segments. 2. Parallel to Parallel Segments. 2nd property Each diagonal of the parallelogram divides it into two congruent triangles.
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Flat Geometry Exercises

1) Determine the area of ​​the following figures (in cm): a) b) c) d) e) 2) We have a 6cm side equilateral triangle. What is the perimeter and what is the area of ​​this triangle? 3) A trapeze has a base smaller than 2, a base larger than 3 and a height of 10. What is the area of ​​this trapeze? 4) Knowing that the area of ​​a square is 36cm², what is its perimeter?
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Continuous ratio

Consider the following ratio:. Note that your means are equal, so it is called continuous proportion. Thus: Continuous proportion is any proportion of equal means. In general, a continuous proportion can be represented by: Third Proportional Given two non-null natural numbers a and b, the third proportional of these numbers is called x such that: Example: Determine the third proportional number 20 and 10.
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Addition and subtraction of complex numbers in algebraic form

Addition Considering the complexes:, the sum is obtained by summing their real and imaginary parts separately: = (a + c) + (b + d) i Examples (2 + 3i) + (5 + 4i) = (2 +5) + (3 + 4) i = 7 + 7i 2i + (6 + 9i) = (0 + 6) + (2 + 9) i = 6 + 11i (5 + 3i) + 3 = (5 + 3 ) + (3 + 0) i = 8 + 3i Subtraction Given the complexes, the difference is obtained by subtracting their real and imagined parts separately: = (a - c) + (b - d) i Examples (2 + 3i) - (5 + 4i) = (2 - 5) + (3 - 4) i = -3 - i 2i - (6 - 9i) = (0 - 6) + (2 - (- 9)) i = -6 + 11i (5 + 3i) - 3 = (5 - 3) + (3 - 0) i = 2 + 3i Next: Multiplication and division in algebraic form
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Unit Transformation

In the decimal metric system, we must remember that in transforming surface units, each surface unit is 100 times larger than the next lower unit: Note the following transformations: transform 2.36 m 2 to mm 2. km 2 hm 2 dam 2 m 2 dm 2 cm 2 mm 2 To transform m 2 to mm 2 (three positions on the right), we must multiply it by 1.
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Count to one million

Did you know that if someone counted aloud to a million, 24 hours a day, without stopping - 1… 2… 3… - saying a digit or number per second, it would take no less than 12 days to finish the enumeration? The Russian Multiplication Method Table of Contents Next >> Who Discovered the Pythagorean Theorem?
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