Question

note: the triangles are not drawn to scale. are the two triangles congruent? choose 1 answer: yes no

Explanation:

Step1: Calculate the ratios of corresponding sides

For the first triangle with sides \(6\), \(8\), \(10\) and the second triangle with sides \(4.5\), \(6\), \(7.5\)

• Ratio of first pair of sides: \(\frac{4.5}{6}=\frac{3}{4}\)
• Ratio of second pair of sides: \(\frac{6}{8}=\frac{3}{4}\)
• Ratio of third pair of sides: \(\frac{7.5}{10}=\frac{3}{4}\)

Step2: Check congruence condition

Since all corresponding sides are in proportion (\(\frac{3}{4}\)), but for congruence, all corresponding sides must be equal. Here the sides are in proportion (similar) but not equal.

Answer:

No