Question

ivan made a scaled copy of the following triangle. he used a scale factor less than 1. what could be the length of the base of the scaled copy of the triangle? choose 3 answers: a 4.5 units b 2 units c 1/2 unit

Explanation:

Step1: Understand the effect of scale factor

When a scale factor \(k<1\) is used for a scaled - copy, if the original length is \(L\) and the new length is \(L'\), then \(L'=k\times L\). Here, the original base length \(L = 5\) units. So \(L'=5k\) where \(0 < k<1\), which means \(0

Step2: Check each option

• Option A:

For \(L' = 4.5\) units, if \(L'=5k\), then \(k=\frac{4.5}{5}=0.9\). Since \(0 < 0.9<1\), this is valid.

• Option B:

For \(L' = 2\) units, if \(L'=5k\), then \(k=\frac{2}{5}=0.4\). Since \(0 < 0.4<1\), this is valid.

• Option C:

For \(L'=\frac{1}{2}\) unit, if \(L'=5k\), then \(k=\frac{1/2}{5}=\frac{1}{10}=0.1\). Since \(0 < 0.1<1\), this is valid.

Answer:

A. \(4.5\) units, B. \(2\) units, C. \(\frac{1}{2}\) unit