Question

triangles jkl and jmn are shown on the grid below. are △jkl and △jmn similar? choose one option from each drop - down menu to answer the question and explain your reasoning. the ratio of jk to its corresponding side of △jmn is choose... the ratio of kl to its corresponding side of △jmn is choose... triangles are similar if the ratio of the corresponding side lengths are choose... so, △jkl choose... similar to △jmn.

Explanation:

Step1: Identify corresponding sides

Let's assume we can count the grid - units to find side - lengths. Suppose $JK$ and $JM$ are corresponding sides, and $KL$ and $MN$ are corresponding sides.

Step2: Calculate ratio of $JK$ to $JM$

Count the grid - units of $JK$ and $JM$. If $JK = a$ units and $JM=b$ units, the ratio of $JK$ to its corresponding side $JM$ in $\triangle JMN$ is $\frac{a}{b}$.

Step3: Calculate ratio of $KL$ to $MN$

Count the grid - units of $KL$ and $MN$. If $KL = c$ units and $MN = d$ units, the ratio of $KL$ to its corresponding side $MN$ in $\triangle JMN$ is $\frac{c}{d}$.

Step4: Check similarity

Triangles are similar if the ratios of all corresponding side - lengths are equal. If $\frac{a}{b}=\frac{c}{d}$, then $\triangle JKL$ is similar to $\triangle JMN$; otherwise, they are not.

Answer:

The answer depends on the grid - unit lengths of the sides. If the ratios of all corresponding side - lengths are equal, then $\triangle JKL$ is similar to $\triangle JMN$. If not, then $\triangle JKL$ is not similar to $\triangle JMN$.