Question

Are the two flags similar? If so, which triangle similarity theorem did you use to make your conclusion?

Answer 1

NO

Explanation:

I THINK THE RIGHT ANSWER IS RHS THEOREM.

Answer 2

The correct answer is option d.) No.

To determine if the two flags are similar, we can analyze their proportions. Let's denote the green flag's height as
`\(h_g\)`, the green flag's length as
`\(l_g\)`, the blue flag's height as
`\(h_b\)`, and the blue flag's length as
`\(l_b\)`.

For the green flag:

`\[ h_g = 1.5 \, \text{ft}, \quad l_g = 2.5 \, \text{ft} \]`

For the blue flag:

`\[ h_b = 10 \, \text{inches}, \quad l_b = 18 \, \text{inches} \]`

Now, let's convert all measurements to the same units. Since 1 foot equals 12 inches, we have:

`\[ h_g = 1.5 * 12 = 18 \, \text{inches}, \quad l_g = 2.5 * 12 = 30 \, \text{inches} \]`

Now we can compare the ratios of corresponding sides:

`\[ (h_g)/(h_b) = (18)/(10) = (9)/(5) \]`

`\[ (l_g)/(l_b) = (30)/(18) = (5)/(3) \]`

The ratios are not equal, indicating that the flags are not similar.

Conclusion:

d. No