Questions: These two polygons are similar.

Transcript text: These two polygons are similar.

Solution

Step 1: Identify the Corresponding Sides

Since the two polygons are similar, their corresponding sides are proportional. Identify the corresponding sides:

Side 4 in the smaller polygon corresponds to side 15 in the larger polygon.
Side 2 in the smaller polygon corresponds to side 6 in the larger polygon.
Side 3 in the smaller polygon corresponds to side 9 in the larger polygon.
Side \( y \) in the smaller polygon corresponds to side 9 in the larger polygon.

Step 2: Set Up the Proportion

Set up the proportion using the corresponding sides: \[ \frac{4}{15} = \frac{y}{9} \]

Step 3: Solve for \( y \)

Cross-multiply to solve for \( y \): \[ 4 \times 9 = 15 \times y \] \[ 36 = 15y \] \[ y = \frac{36}{15} \] \[ y = 2.4 \]