Question

1. (03.04 mc)

the abc toy company is creating two similar pieces for a board game, as shown below. find the value of y that makes the two pieces similar. (5 points)

Explanation:

Step1: Find similarity scale factor

The corresponding sides $GH = 4$ and $JK = 8$. The scale factor from $\triangle GHI$ to $\triangle JKL$ is $\frac{8}{4} = 2$.

Step2: Set up proportion for $y$

Since similar triangles have proportional sides, $\frac{y}{GI} = \text{scale factor}$. Substitute $GI = 6$:
$\frac{y}{6} = 2$

Step3: Solve for $y$

Multiply both sides by 6:
$y = 6 \times 2$

Answer:

$12$