![]() Point B on reflection in the y-axis is B’ (-2, 5). Point A (4, -1) is reflected as A’ in y-axis.The point P (x, y) is reflected in the x-axis and then reflected in the origin to P’.The point P is reflected in the origin.The coordinates of the points under reflection in origin.Find the reflection of the following in y-axis.The coordinates A’, B’, C’, if triangle A’B’C’ is the reflected image of triangle ABC The points A (2, 3), B (4, 5), and C (7, 2) are the vertices of triangle ABC.If Q’ is the point of reflection, then Q’ (2, -7) is the reflection of Q (2, 1) in the line Find the reflection of the point Q (2, 1) in the line y + 3 =0.If P’ is the point of reflection, then P’ (5, 3) is the reflection of P (-1, 3) in the line x=2. Find the reflection of the point P (-1, 3) in the line x=2.Reflection across y axis (-2, 3) is (2, 3).Reflection across x axis (4, 2) is (4, -2).Reflection across x-axis Check your knowledge Is (-y, -x) Reflect ΔABC Over the X-Axis Reflection of a point (x, y ) at y=x is ( y, x) and reflection of a point (x, y) at y= -x Reflection in the line when y =x and y= -x If P (x, y ) is a point in the image, then point in the reflected image is P’(-x, -y). When a point P(x, y) is reflected in the origin, the sign of its abscissa and ordinate bothĬhanges. If P is the image, and P’ is the reflected image then the point P(x, y) changes to When a point is reflected in the y- axis, the sign of abscissa changes or x coordinate changes. If P is the image and P’ is the reflected image then the point P(x, y) changes to When a point is reflected in the x- axis, the sign of ordinate changes or y coordinate changes. Since there is no chance of change in size or shape of the image and this transformation is isometric. Reflection with respect to that line is called the line of reflection. Each vertex of a reflected image is exactly the same _ away from the line of _ as the corresponding vertex of the pre-image, but on the _ side.Transformation is where each point in a shape appears at an equal distance on the opposite side of a given line.For any reflection, the image and pre-image are _.The result of a reflection is called the _.A translation does not change the figure’s _. A reflection is a transformation the changes the _ of a figure.Use the word bank to complete the sentences below:.When you dragged the point on the line of reflection, how did the image compare to the pre-image? What stayed the same? What changed?.When you dragged the line of reflection, how did the image compare to the pre-image? What stayed the same? What changed?. ![]() When you dragged a vertex of the pre-image, how did the image compare to the pre-image? What stayed the same? What changed?.When you dragged the pre-image, how did the image compare to the pre-image? What stayed the same? What changed?.Use the words pre-image and image in your responses. Click and drag the blue point on the line of reflection and observe what happens.Īfter you have explored several reflections, answer the following questions in your math journal.Click and drag the blue line of reflection and observe what happens.Click and drag a vertex of the pre-image and observe what happens.Click and drag the pre-image (the red triangle) and observe what happens.Click on the REFLECTION button on the left.Use the link below to explore reflections: The original figure is called the pre-image. The result of a transformation is called the image. Other transformations include translations, rotations, and dilations. A reflection is a type of transformation.
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