Similar Triangles and Proportions Flashcards

Question 1

What does it mean for two triangles to be similar?

Accepted Answer

Two triangles are similar if their corresponding angles are congruent and their corresponding side lengths are proportional (same scale factor).

Question 2

What is the scale factor between similar triangles?

Accepted Answer

The scale factor $k$ is the constant ratio of corresponding side lengths, e.g., $k=\frac{AB}{DE}$ for $	riangle ABC \sim 	riangle DEF$.

Question 3

State the Triangle Proportionality Theorem (Side-Splitter Theorem).

Accepted Answer

If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those two sides proportionally. (Converse: proportional division implies the line is parallel.)

Similar Triangles and Proportions Flashcards

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