B 0.25 Hg Em Cg - Gauthmath

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Question

Point T and point U are shown below. What are the coordinates of the midpoint of point T and point U? Not drawn accuratelySHOW LESS0

Solution

user avatar imageAnswer\((4,7)\)ExplanationStep 1: Identify the coordinates of point \( T \) and point \( U \). Point \( T \) is at \( (4,2) \) and point \( U \) is at \( (4,12) \). Step 2: Use the midpoint formula which is \( \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right) \), where \( (x_1, y_1) \) and \( (x_2, y_2) \) are the coordinates of the two points. Step 3: Substitute the coordinates of points \( T \) and \( U \) into the midpoint formula: \( \left(\frac{4 + 4}{2}, \frac{2 + 12}{2}\right) \). Step 4: Calculate the x-coordinate of the midpoint by adding the x-coordinates of points \( T \) and \( U \) and dividing by 2: \( \frac{4 + 4}{2} = \frac{8}{2} = 4 \). Step 5: Calculate the y-coordinate of the midpoint by adding the y-coordinates of points \( T \) and \( U \) and dividing by 2: \( \frac{2 + 12}{2} = \frac{14}{2} = 7 \). Step 6: Combine the x-coordinate and y-coordinate to get the coordinates of the midpoint: \( (4,7) \). Therefore, the coordinates of the midpoint of points \( T \) and \( U \) are \( (4,7) \).Click to rate:44(50 votes)Search questionBy textBy image/screenshotDrop your file here orClick Hereto upload

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