Modeling Problems Quiz (5 Questions)

1. A tree casts a shadow 8m. A 2m stick casts shadow 2m. Find tree height using similar triangles.

2. True or False: Similar triangles can solve indirect measurement problems.

3. Two similar triangles: sides 3,4,5 and 6,? ,10. Find missing side.

4. True or False: Congruent triangles are used in modeling problems when exact measurements are needed.

5. Name one real-world application of triangle similarity in modeling.

Answer Key

1. Tree height = 8m (proportion 2/2 = x/8 → x = 8)

2. True

3. 8 (proportional sides)

4. True

5. Measuring building heights, bridges, shadows, ramp inclines, etc.