Given: Triangle ABC is similar to Triangle DEF
Given: Triangle ABC is similar to Triangle DEF
Answer:
When two triangles are similar, it means that their corresponding angles are congruent (equal in measure) and their corresponding sides are in proportion (the ratios of the lengths of corresponding sides are equal).
Given that Triangle ABC is similar to Triangle DEF, this implies:
1. Angle A is congruent to Angle D
2. Angle B is congruent to Angle E
3. Angle C is congruent to Angle F
And for the sides:
1. The ratio of side AB to side DE is equal to the ratio of side BC to side EF, which is also equal to the ratio of side AC to side DF.
This is represented as:
AB/DE = BC/EF = AC/DF
These are the fundamental properties that define similar triangles in geometry.
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