Question

match the directed line - segment with the image of polygon p being transformed to polygon q by translation by that directed line - segment. translation 1 translation 2 translation 3 translation 4

Explanation:

Step1: Analyze Translation 1

In Translation 1, Polygon P moves horizontally to the right to form Polygon Q. The directed - line segment should be a horizontal line pointing to the right. Segment A is a horizontal directed - line segment pointing to the right. So, Translation 1 matches with A.

Step2: Analyze Translation 2

In Translation 2, Polygon P moves diagonally upwards and to the right to form Polygon Q. The directed - line segment should be a diagonal line pointing upwards and to the right. Segment B is a diagonal directed - line segment pointing upwards and to the right. So, Translation 2 matches with B.

Step3: Analyze Translation 3

In Translation 3, Polygon P moves diagonally downwards and to the right to form Polygon Q. The directed - line segment should be a diagonal line pointing downwards and to the right. Segment C is a diagonal directed - line segment pointing downwards and to the right. So, Translation 3 matches with C.

Step4: Analyze Translation 4

In Translation 4, Polygon P moves horizontally to the left to form Polygon Q. The directed - line segment should be a horizontal line pointing to the left. Segment D is a horizontal directed - line segment pointing to the left. So, Translation 4 matches with D.

Answer:

Translation 1: A
Translation 2: B
Translation 3: C
Translation 4: D