How to find the scale factor of two triangles
1 answer:
Answer:
Here's how to do it.
Step-by-step explanation:
The two triangles must be similar, that is, corresponding angles must be equal, as in the diagram below.
1. Find a corresponding pair of sides
Assume that ∆ABC is the original and ∆DEF is its scaled image.
Then, AB and DE are corresponding sides, with lengths of 8 and 12 units , respectively.
2. Set up a ratio
Ratio = side length in image/side length in original = 12/8
3. Simplify the ratio
The simplified ratio is the scale factor (SF).
SF = 12/8 = 3/2 = 1.5
The scale factor is 1.5.
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Answer:
Length of segment BD = 42 units
Step-by-step explanation:
Since C is the midpoint of AB,
Then segment AC = segment CD
Since B is the midpoint of BC,
Then the length of segment AB = Length of segment BC = 14 units
Length of AC = 2 × (14)
= 28 units
Length of AC = length of CD = 28 units
Length of segment BD = Length of BC + length of CD
= 14 + 28
= 42 units
Therefore, length of segment BD is 42 units.
