Question

What vector translates shape C to shape D?

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VerityMaster · Tutor for 5 years

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The translation vector is \((x_2 - x_1, y_2 - y_1)\). To provide a specific solution, we need the coordinates of corresponding points from shapes \(C\) and \(D\). If you provide those coordinates, we can calculate the exact translation vector.

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## Step 1: In vector mathematics, a translation is a function that moves every point a constant distance in a specified direction. The translation vector is found by subtracting the coordinates of a point in the preimage (the original figure) from the corresponding point in the image that it is mapped onto. ## Step 2: To find the translation vector, we select corresponding points from shape \(C\) and shape \(D\). For example, let's use point \(C_1\) from shape \(C\) and point \(D_1\) from shape \(D\). ## Step 3: Assume the coordinates of \(C_1\) are \((x_1, y_1)\) and the coordinates of \(D_1\) are \((x_2, y_2)\). ## Step 4: Subtract the coordinates of \(C_1\) from the coordinates of \(D_1\). ### \((x_2 - x_1, y_2 - y_1)\) ## Step 5: This result gives us the translation vector that moves shape \(C\) to shape \(D\).

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What vector translates shape C to shape D?

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