Question

name: date period similar triangle practice direction: state if the triangles are similar by sss, sas, or aa. if the triangles are not similar, write
o\. *triangles may not be drawn to scale. 1. two triangles with sides 3, 4, 6 and 4.5, 6, 9 2. two triangles with marked angles 3. two triangles with sides 4, 5 and 6, 7.5 4. two right triangles with marked angles 5. two triangles with sides 5, 3.25 and 1.75, 2.5 6. two triangles with sides 10.2, 12, 4.6 and 3.45, 7.65, 9.25 7. two triangles with sides 12, 15 and 8, 10 8. two triangles with angles 72°, 33° and 75°, 60° 9. two right triangles with sides 5, 6 and 15, 12.5 10. two triangles with angles 85°, 42° and 85°, 53° 11. two triangles with sides 6.1, 8.4, 4.7 and 7.05, 12.6, 9.15 12. two triangles with marked angles © lindsay bowden, 2024

Explanation:

Step1: Analyze Triangle 1

For the first pair of triangles, check the ratios of corresponding sides. The sides are 3, 4, 6 and 4.5, 6, 9. Calculate ratios: $\frac{3}{4.5}=\frac{2}{3}$, $\frac{4}{6}=\frac{2}{3}$, $\frac{6}{9}=\frac{2}{3}$. All ratios are equal.

Step2: Determine Similarity Criterion

Since all three corresponding sides are in proportion, the triangles are similar by SSS (Side - Side - Side) similarity criterion.

Answer:

The triangles in problem 1 are similar by SSS.