Question

question 1 - 4 triangle abc is transformed to create triangle mno and triangle pqr as described below. mno represents the translation 2 units left and 2 units down of triangle abc. pqr represents the dilation of triangle abc by a scale factor of 2. which of these is correct? the transformation of abc to pqr preserves both the side lengths and angle measures of the triangle. the transformation of abc to mno preserves both the side lengths and angle measures of the triangle. the transformation of abc to pqr preserves the side lengths but not the angle measures of the triangle. the transformation of abc to mno preserves the angle measures but not the side lengths of the triangle.

Explanation:

Step1: Recall transformation properties

Translation is a rigid - motion. It moves every point of a figure the same distance in the same direction. It preserves side - lengths and angle - measures.

Step2: Recall dilation properties

Dilation changes the size of a figure. When a figure is dilated by a scale factor \(k
eq1\), the side - lengths are multiplied by \(k\). But angle - measures are preserved in dilation.

Answer:

The transformation of ABC to MNO preserves both the side lengths and angle measures of the triangle.