Question

3 look at the image you drew in problem 2. are the properties of the sides and angles in the image the same as the properties of the sides and angles in the original figure? explain.

Explanation:

For Problem 2:

A reflection is a transformation that flips a figure over a line, creating a mirror image. To draw the reflected figure, map each vertex of the original trapezoid across the given vertical line by measuring the horizontal distance from each vertex to the line, then placing the corresponding vertex of the image the same distance on the opposite side of the line. Connect the mapped vertices to form the reflected trapezoid.

For Problem 3:

Reflections are rigid transformations, which preserve the size and shape of the original figure. This means all side lengths and angle measures remain unchanged between the original figure and its reflected image.

Answer:

Problem 2:

(The reflected figure is a mirror image of the original trapezoid across the vertical line, with each vertex equidistant from the line on the opposite side of the original trapezoid.)

Problem 3:

Yes, the properties of the sides and angles in the image are the same as the original figure. Reflection is a rigid transformation that preserves side lengths and angle measures, so the image is congruent to the original figure.