6.1 Similarity: The Geometry of Scale

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Key Formulas

Solved Examples

Step 1

Definition of Isosceles: A triangle with at least two equal sides.

Step 2

Consider ΔABC\Delta ABC with angles 40∘,40∘,100∘40^\circ, 40^\circ, 100^\circ.

Step 3

Consider ΔPQR\Delta PQR with angles 70∘,70∘,40∘70^\circ, 70^\circ, 40^\circ.

Step 4

Both are isosceles. However, their corresponding angles are not equal.

Step 5

Therefore, they are NOT similar.

Final Answer

No, unless they are also right-angled isosceles or equilateral.

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