Similar Triangles Proportional Parts Parallel Lines

A road sign that is 20 ft tall casts a shadow that is 25ft long. A second road sign casts a shadow that is 15ft long.  What is the height of the second road sign?

• 5 ft

• 10 ft

• 15 ft

• 12 ft

• Not Similar

• Yes, Triangle Proportionality Theorem

• Yes, Triangle Proportionality Converse

• Yes, Triangle Midsegment Theorem

• Yes, Proportional Parts & Parallel Lines Theorem

Determine if \overline{ST}\ \parallel\ \overline{PR}. If yes, what theorem justifies your answer?

• Not Similar

• Yes, Triangle Proportionality Theorem

• Yes, Triangle Proportionality Converse

• Yes, Triangle Midsegment Theorem

• Yes, Proportional Parts & Parallel Lines Theorem

Solve for x.

Determine if \overline{ST}\ \parallel\ \overline{PR}. If yes, what theorem justifies your answer?

• Not Similar

• Yes, Triangle Proportionality Theorem

• Yes, Triangle Proportionality Converse

• Yes, Triangle Midsegment Theorem

• Yes, Proportional Parts & Parallel Lines Theorem

Find GH.

Solve for x.

Solve for x.

Use the Triangle Midsegment Theorem to solve for x.