Question

Describe the series of rigid motion transformations which map polygon A to Polygon A'''. Are the two polygons congruent? Explain how you know.
(someone please help me!)

Answer 1

The series of rigid motion transformations that map polygon A to Polygon A''' are;

1. A rotation of 145° about the origin to map A to A'
2. A reflection across the x-axis to map A' to A'
3. A translation of four units to the right and one unit down

What is a rigid transformation?

A rigid transformation is a transformation in which the distance between all pairs of points on the pre-image is preserved following the transformation.

The series of rigid motion transformations that map polygon A to polygon A''' are;

Transformation from A to A'

• The angle in the diagram in the question indicates the rotation of polygon A to produce polygon A' is a rotation of 145° about the origin.

Transformation from A' to A''

• The coordinates of the vertices of triangle, A' (0.9, 4.1), (3.1, 5.9), (5.5, (2.5) and the vertices of triangle A'' (0.9, -4.1), (3.1, -5.9), (5.5, -2.5), indicates that the transformation is a reflection about the x-axis

Transformation from A'' to A'''

• The arrow of the translation transformation indicates that the transformation is a translation of four units to the right and 1 unit down.

Learn more about rigid transformations in geometry here:

brainly.com/question/2222755

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