Question

with similar triangles, the ratios of all three pairs of corresponding sides are never equal.
a. true
b. false

Explanation:

Step1: Recall similar triangles definition

Similar triangles have corresponding sides in proportion (equal ratios) and corresponding angles equal. For example, if two triangles are similar with a scale factor of \(1\), they are congruent (all ratios \(= 1\), so all three pairs of corresponding sides have equal ratios).

Step2: Evaluate the statement

The statement says "the ratios of all three pairs of corresponding sides are never equal". But in congruent (a special case of similar) triangles, all three ratios are \(1\) (equal). So the statement is false.

Answer:

B. False