Copy and paste the following link into your browser to learn more about using the four properties of proportion in geometry: 5/9 = a/b, or a/b = 5/9 ☛ Apply Property 2 to 9/b = 5/a: Switch the 9 and the a, so that a/b = 5/9 4 ▶︎▶︎▶︎ DENOMINATOR ADDITION/SUBTRACTION PROPERTY (also known as Property 4): ➜ If a/b = c/d, then (a + b)/ b = ( c + d)/ d or (a − b)/ b = (c − d)/ d. Next, proceed in one of the following two ways: ☛ Apply Property 3 to 9/5 = b/a: Turn each side upside-down. First, apply the converse of the Cross Products Property and obtain 9/5 = b/a. b, and the product ≠ 0, then find the ratio for a/b.3 ▶︎▶︎▶︎ UPSIDE-DOWN PROPERTY (also known as Property 3): ➜ If a/b = c/d, then b/a = d/c. For example, for the proportion 8/10 = 4/5, the Means or Extremes Switching Property (Property 2) specifies that if you were to switch the 8 and 5 or switch the 4 and 10, then the new statement is still an accurate proportion. 2 ▶︎▶︎▶︎ MEANS OR EXTREMES SWITCHING PROPERTY (also known as Property 2): ➜ If a/b = c/d and is a proportion, then both d/b = c/a and a/c = b/d are proportions. c equals zero, then a/b = c/d and b/a = d/c For example, for the proportion 8/10 = 4/5, the Means-Extremes Property (Property 1) specifies 8.1 ▶︎▶︎▶︎ MEANS-EXTREMES PROPERTY, or CROSS-PRODUCTS PROPERTY (also known as Property 1): ➜ If a/b = c/d, then a
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