
Complete Question:
In ABC, the measure of sides c is 3.9 cm If DEF is a dilation ABC with a scale factor of 2.5 what is the measure of side f
Answer:
f = 9.75
Step-by-step Explanation:
From the information given, a sketch of ∆ABC and ∆DEF with their corresponding sides and angles have been attached below.
∆DEF is a dilation of ∆ABC, which is said to be on a scale factor of 2.5.
The scale factor is a whole number, this implies that ∆DEF is an enlargement of ∆ABC.
Since side c = 3.9 cm, in ∆ABC corresponds to side f, in ∆DEF, therefore, the measure of f would be:
f = measure of c × scale factor
f = 3.9 cm × 2.5
f = 9.75