4/6/2024 0 Comments Rotation rules geometry x![]() Which of the following geometric transformations is performed? The vertices of a square are transformed by the transformation ( □, □ ) → ( − □, □ ). △ □ □ □, which are □ ( 1, 3 ), □ ( 3, 3 ),Įxample 4: Identifying the Type of a Transformation given Its Rule Taking our previous example, we can demonstrate what transformation has taken place on △ □ □ □īy plotting its coordinates and the coordinates of its image. Therefore, the vertices of the image have coordinates □ ′ ( 1, − 3 ), □ ′ ( 3, − 3 ), and To find out which of the options given represents the image of △ □ □ □, we substitute theĬoordinates of each of the vertices of △ □ □ □ into ( □, □ ) → ( □, − □ ) to give us the vertices of the image. Which of the following represents the image of △ □ □ □, where Position, as seen with the arrows on the diagram below.Įxample 3: Transforming a Shape Using Its Coordinates Third, we can see that the object and the image are the same size and orientation, with the only thing changing being the We therefore need to consider the orientation. This means that it is unlikely to be a rotation, ![]() Similarly, the bottom-right vertex in the object is □, and theīottom-right vertex in the image is □ ′, and so on. In other words, the bottom-left vertex in the object is □, and the bottom-left vertex in ![]() Second, we can see that the vertices of the object occur in the same relative positions to one another as the vertices This means that it cannot be a reflection otherwise, The first quadrilateral has vertices □ □ □ □ and the image has vertices □ ′ □ ′ □ ′ □ ′ in the same order counterclockwise. Remained the same and which have been changed.įirst, we can see that the vertices of the object occur in the same order as the vertices in the image. To determine the type of transformation, we will consider which of the properties of both the object and the image have
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