Question

are these triangles similar?
write a similarity statement.
△ ~ △

Explanation:

Step1: Calculate the ratios of corresponding sides

For \(\triangle HIG\) and \(\triangle SQR\), we have:

• \(\frac{HI}{SQ}=\frac{44}{45}\)
• \(\frac{IG}{QR}=\frac{52}{55}\)
• \(\frac{HG}{SR}=\frac{36}{65}\)

Step2: Check if the ratios are equal

\(\frac{44}{45}\approx0.98\), \(\frac{52}{55}\approx0.95\), \(\frac{36}{65}\approx0.55\)
Since \(\frac{44}{45}
eq\frac{52}{55}
eq\frac{36}{65}\)

Answer:

no