![]() Name the vector and write its component form.Īnswer: OA is the vector in the given figure. Related to the coordinates of the vertices of the original triangle. What are the coordinates of the vertices of the image, ∆A”B”C”? How are these coordinates translate ∆A’B’C’ 3 units right and 4 units up. To graph a translation, perform the same change for each point.Īn Exploration 2. This means that on the coordinate plane, the coordinates for the vertices of the figure will change. How can you translate a figure in a coordinate plane?Īnswer: When you perform translations, you slide a figure left or right, up or down. Do you think translations always preserve angle measures? Explain your reasoning. In Exploration 2, is ∆A’B’C’ a right triangle? Justify your answer.Ĭ. In Exploration 2, is ∆ABC a righL triangle? Justify your answer.ī. Draw ∆A’B’C.’ Are its side lengths the same as those of ∆ABC? Justify your answer.Ī. What are the coordinates of the vertices of the image. Use the rule you wrote in part (a) to translate ∆ABC 4 units left and 3 units down. Write a rule to determine the coordinates of the image of (x, y).ī. The point (x, y) is translated a units horizontally and b units vertically. What do you observe about the side lengths and angle measures of the two triangles?Ī. What is the relationship between the coordinates of the vertices of ∆ABC andĭ. To be proficient in math, you need to use appropriate tools strategically, including dynamic geometry software.Ĭ. Copy the triangle and translate (or slide) it to form a new figure, called an image, ∆A’B’C’ (read as triangle A prime, B prime. ![]() Use dynamic geometry software to draw any triangle and label it ∆ABC.ī. Translating a Triangle in a Coordinate PlaneĪ. Use the software to find the side lengths and angle measures of the polygon. Use dynamic geometry software to draw the polygon with the given vertices. Hypotenuse of triangle A/Hypotenuse of triangle B = 10/12 = 5/6 Height of triangle A/Height of triangle B = 8/12 = 2/3 Thus Rectangle A and Rectangle B are not similar.īase of triangle A/Base of triangle B = 6/9 = 2/3 Tell whether the two figures are similar. The blue figure is similar to the red figure and one is a dilation of the other. The blue polygon is a dilation of the red figure.Īnswer: The transformation can be performed by tracing the paper. A dilation produces an image similar to the original figure. The blue figure turns to form the red figure so it is a rotation.Īnswer: The transformation can be performed by tracing the paper. Rotates or turns the pre-image around an axis. The red figure is the mirror image of the blue figure so it is a reflection.Īnswer: The transformation can be performed by tracing the paper. The given figure has no change in size or shape. The transformation can be performed by tracing the paper. Tell whether the red figure is a translation, reflection, rotation, or dilation of the blue figure. ![]() Transformations Maintaining Mathematical Proficiency
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