Question

question 3
are the triangles similar? if so, complete the similarity statement and state how you know they are similar.
△srq~______
△bcd by sss ~
△dbc by sss ~
△bdc by sas ~
△dcb by sas ~
not similar

Explanation:

Step1: Check side - length ratios

Find the ratios of corresponding sides. $\frac{45}{9}=5$, $\frac{70}{14} = 5$, $\frac{40}{8}=5$.

Step2: Determine similarity criterion

Since the ratios of all three pairs of corresponding sides are equal, by the Side - Side - Side (SSS) similarity criterion, the triangles are similar.

Step3: Write similarity statement

The vertices must be in corresponding order. $\triangle SRQ\sim\triangle DCB$.

Answer:

$\triangle SRQ\sim\triangle DCB$ by SSS