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Geom

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Second Quarter
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Unit III- Similarity 1. Ratio and Proportion * Definition of ratio * Definition of proportion and its parts * Fundamental law of proportion * Proportional Segments 2. Proportional Theorems 3.1 Basic Proportionality Theorem and its converse 3. Similarity Between triangles 4.2 Similar figures 4.3 Similar polygons 4.4 Similar triangles 4.5 Similarity Theorems 4.6 Application 4. Similarities in a right triangle 5.7 Similarity theorem 5.8 Special right triangle * Isosceles right triangle * 30-60-90 triangle 5. Ratio between the perimeters and areas of similar triangle

Definition of Ratio
Ratio is a comparison of two numbers (by division).

Definition of Proportion
A Proportion is a statement of equality between two ratios. [a:b = c:d]

2nd law of proportions: Means-Switch Extremes law of proportion gInterchanging the means or interchanging the extremes of one proportion results in another proportion.

1st law of proportions: Means-extremes product law of proportion gIn a Proportion, the product of the means equals the product of the extremes.

lLaw of Proportionsl

3rd law of proportions: Invert Both Sides Law of Proportions gIf the terms of the ratios of a proportion are inverted, the result is also a proportion

Where a, b, c and D are nonzero real numbers.

4th law of proportions: Denominator-addition law of proportions

Where b ≠ 0, d ≠ 0.

6th law of proportions: Numerator-denominator sum law of proportion gThe ratio of the sum of the numerators to the sum of the denominators is equivalent to each ratios.

5th law of proportions: Denominator-subtraction law of proportions

Where b ≠ 0, d ≠ 0.

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