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Unit 5 Lesson 2 Remediation Activity 2 Let’s practice some more with midpoint!
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Let’s review! The midpoint is the exact middle between 2 points. It is always written as an ordered pair. How do you find the midpoint? Step 1: Add the x-values and divide by 2 (average the x-values). Step 2: Add the y-values and divide by 2 (average the y-values). Step 3: Write the averages as an ordered pair (x,y). 4 units (5,4) is the midpoint because it lies half-way (in the middle) between (1,4) and (9,4) 4 units Midpoint: (5, 4)
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Example 1: Find the midpoint between (1, 4) and (9, 4). Step 1: Add the x-values and divide by 2 (average the x-values). (1, 4) & (9, 4)x-values: 1 & 9 1 + 9 = 10 10 ÷ 2 = 5average of x-values = 5 Step 2: Add the y-values and divide by 2 (average the y-values). (1, 4) & (9, 4)y-values: 4 & 4 4 + 4 = 8 8 ÷ 2 = 4average of y-values = 4 Step 3: Write the averages as an ordered pair (x,y). midpoint = (average of x-values, average of y-values) midpoint = (5, 4)
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Example 2: Find the midpoint between (-2, 6) and (5, -4). Step 1: Add the x-values and divide by 2 (average the x-values). (-2, 6) & (5, -4)x-values: -2 & 5 -2 + 5 = 3 3 ÷ 2 = 1.5average of x-values = 1.5 Step 2: Add the y-values and divide by 2 (average the y-values). (-2, 6) & (5, -4)y-values: 6 & -4 6 + -4 = 2 2 ÷ 2 = 1average of y-values = 1 Step 3: Write the averages as an ordered pair (x,y). midpoint = (average of x-values, average of y-values) midpoint = (1.5, 1)
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Let’s review! The midpoint is the exact middle between 2 points. It is always written as an ordered pair. How do you find the midpoint? Step 1: Add the x-values and divide by 2 (average the x-values). Step 2: Add the y-values and divide by 2 (average the y-values). Step 3: Write the averages as an ordered pair (x,y). midpoint = (average of x-values, average of y-values) 4 units (5,4) is the midpoint because it lies half-way (in the middle) between (1,4) and (9,4) 4 units Midpoint: (5, 4)
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