Question

Given the two similar triangles below, which proportion is not true?

1) 9/13.5 = 6/21
2) 13.5/21 = 9/14
3) 14/21 = 6/9
4) 14/6 = 21/9

Answer 1

The proportion that is not true is 13.5/21 ≠ 9/14.

Step-by-step explanation:

Given the two similar triangles below, let's write the necessary proportions and check which one is not true:

1. 9/13.5 = 6/21 - This proportion is true because both fractions reduce to 2/3.
2. 13.5/21 ≠ 9/14 - This proportion is not true. Cross-multiplying gives us 13.5 * 14 ≠ 9 * 21, which is not equal.
3. 14/21 = 6/9 - This proportion is true because both fractions reduce to 2/3.
4. 14/6 = 21/9 - This proportion is true because both fractions reduce to 7/3.

Therefore, the proportion that is not true is 13.5/21 ≠ 9/14.