Question

qusai made a scaled copy of the following trapezoid. he used a scale factor less than 1. what could be the length of the longer base of the scaled copy of the trapezoid? choose 3 answers:

Explanation:

Step1: Observe the original trapezoid

Let's assume the length of the longer base of the original trapezoid (say \(DC\)) is \(x\) units. When we use a scale - factor \(k\lt1\) to create a scaled - copy of the trapezoid, the length of the corresponding side (longer base of the scaled - copy) \(y = kx\). So \(y\lt x\).

Step2: Analyze the options (not given in the problem - but conceptually)

If we measure the length of the longer base of the original trapezoid (by counting the grid units for example), and then multiply it by a number \(k\) where \(0\lt k\lt1\), the length of the longer base of the scaled - copy will be less than the length of the longer base of the original trapezoid.

Answer:

We need the options to choose 3 answers. But conceptually, any length that is less than the length of the longer base of the original trapezoid could be a correct answer.