Question

which of the following is not true about dilations? * a figure preserves its congruence when dilated a figure preserves its orientation when dilated a dilation with a scale factor greater than 1 is an enlargement a dilation with a scale factor between 0 and 1 is a reduction

Explanation:

• Congruence: Congruent figures have the same shape and size. When a figure is dilated (scaled), its size changes (either enlarged or reduced depending on the scale factor). So, a dilated figure cannot be congruent to the original.
• Orientation: Dilation is a transformation that only changes the size of a figure, not its orientation. For example, if a triangle has vertices in a clock - wise order, after dilation, the vertices of the dilated triangle will still be in a clock - wise order.
• Scale factor > 1: If the scale factor \(k>1\), say \(k = 2\), and we have a line segment of length \(l\), the length of the dilated line segment is \(l\times k=2l\). So, it is an enlargement.
• Scale factor \(0 < k<1\): If the scale factor \(k=\frac{1}{2}\), and we have a line segment of length \(l\), the length of the dilated line segment is \(l\times k=\frac{l}{2}\). So, it is a reduction.

Answer:

A. A figure preserves its congruence when dilated