Upper DeltaUpper YUpper KUpper S and Upper DeltaUpper VUpper CUpper M are similar. The scale factor of Upper DeltaUpper YUpper KUpper S to Upper DeltaUpper VUpper CUpper M is 1 ​: 2. What is the scale factor of Upper DeltaUpper VUpper CUpper M to Upper DeltaUpper YUpper KUpper S​?

Question

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Part 1
The scale factor of Upper DeltaUpper VUpper CUpper M to Upper DeltaUpper YUpper KUpper S is
▼
2 : 1
1 : 7
2 : 5
5 : 2
7 : 2
1 : 2
.

Answer 1

The scale factor describes the ratio in size of two similar figures. If the scale factor of triangle \( \Delta YKS \) to triangle \( \Delta VCM \) is \( 1 : 2 \), it means that every side of triangle \( \Delta VCM \) is twice the length of the corresponding side of triangle \( \Delta YKS \).

To find the scale factor from triangle \( \Delta VCM \) to triangle \( \Delta YKS \), you take the reciprocal of the original scale factor.

Since the scale factor of \( \Delta YKS \) to \( \Delta VCM \) is \( 1 : 2 \), the scale factor of \( \Delta VCM \) to \( \Delta YKS \) would be:

\[ 2 : 1 \]

Thus, the answer is:

2 : 1