Question

transformations

1. consider quadrilaterals abcd and efgh.

describe the transformations that map quadrilateral abcd onto quadrilateral efgh. be specific about type, direction, line of reflection, or degree of rotation to prove the two quadrilaterals are congruent.

Explanation:

Step1: Observe the orientation and position

By looking at the quadrilaterals, we can see that a translation followed by a rotation is needed. First, translate quadrilateral EFGH so that one of its vertices coincides with a corresponding vertex of ABCD. Let's translate EFGH 6 units to the right and 10 units up.

Step2: Determine the rotation

After translation, we need to rotate the translated - EFGH. The rotation is 180 degrees counter - clockwise about the common vertex (after translation). This will map the translated EFGH onto ABCD.

Answer:

First, translate quadrilateral EFGH 6 units to the right and 10 units up. Then, rotate the translated quadrilateral 180 degrees counter - clockwise about the vertex that coincides with a corresponding vertex of ABCD after translation.