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Day 4 Given Midpoint Find EndpointCWHW.notebook

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<strong>Day</strong> 4 <strong>Given</strong> <strong>Midpoint</strong> <strong>Find</strong> <strong>EndpointCWHW</strong>.<strong>notebook</strong> September 30, 2013DO NOW:W(12, ­8) E(9, 14)1) <strong>Find</strong> the distance2) <strong>Find</strong> the midpointSep 14­7:18 AMSep 30­8:20 AM


<strong>Day</strong> 4 <strong>Given</strong> <strong>Midpoint</strong> <strong>Find</strong> <strong>EndpointCWHW</strong>.<strong>notebook</strong> September 30, 2013<strong>Midpoint</strong>(In Reverse)Objective: Student will find the otherendpoint of a line segment given itsmidpoint and other endpoint.Oct 3­6:51 AMMethod for finding an endpoint of a line segmentwhen given one endpoint and the midpoint."<strong>Midpoint</strong> Backwards"Steps:1) Multiply the coordinates of the midpoint by 2.2) Subtract the given endpoint from the product.Sep 3­2:38 PM


<strong>Day</strong> 4 <strong>Given</strong> <strong>Midpoint</strong> <strong>Find</strong> <strong>EndpointCWHW</strong>.<strong>notebook</strong> September 30, 20131. In a circle, AB is a diameter. The coordinates ofA are (3, ­4) and the coordinates of the center of thecircle are (1, 1). What are the coordinates of B?Step 1: Multiply midpoint by 2.Step 2: Subtract given endpoint from product.**************USE PARENTHESES**************Jun 23­10:02 AM2. The midpoint of AB is M. If the coordinates of A are (2, ­6) and thecoordinates of M are (5, ­1), what are the coordinates of B?Jun 23­10:03 AM


<strong>Day</strong> 4 <strong>Given</strong> <strong>Midpoint</strong> <strong>Find</strong> <strong>EndpointCWHW</strong>.<strong>notebook</strong> September 30, 20133. The coordinates of A are (4, 5) and the coordinates of B are(10, y). If the midpoint of AB is (7, ­2), find the value of y.Jun 23­10:03 AM4. The coordinates of the midpoint of AB are (1, 2). If the coordinates of pointA are (1, 0), find the coordinates of point B.Jun 23­10:04 AM


<strong>Day</strong> 4 <strong>Given</strong> <strong>Midpoint</strong> <strong>Find</strong> <strong>EndpointCWHW</strong>.<strong>notebook</strong> September 30, 20135. The coordinates of the midpoint of AB are (­2, 4). If the coordinates of pointA are (7, 10), find the coordinates of point B.Jun 23­10:04 AM6. has midpoint M. If the coordinates of A are (2, 3) and the coordinates of M are(­1, 0), what are the coordinates of B?Jun 23­10:05 AM


<strong>Day</strong> 4 <strong>Given</strong> <strong>Midpoint</strong> <strong>Find</strong> <strong>EndpointCWHW</strong>.<strong>notebook</strong> September 30, 20137. The midpoint M of AB has coordinates (­3, 4). If point A is the origin, (0, 0),the coordinates of point B are?Jun 23­10:05 AM8. M is the midpoint of AB . If the coordinates of A are (­1,5) and the coordinatesof M are (3,3), what are the coordinates of B?Jun 23­10:06 AM


<strong>Day</strong> 4 <strong>Given</strong> <strong>Midpoint</strong> <strong>Find</strong> <strong>EndpointCWHW</strong>.<strong>notebook</strong> September 30, 20139. The coordinates of the midpoint of AB are (2, 4), and the coordinates ofpoint B are (3,7). What are the coordinates of point A?Jun 23­10:06 AM10. A line segment on the coordinate plane has endpoints (2,4) and (4,y). Themidpoint of the segment is point (3,7). What is the value of y?Jun 23­10:07 AM


<strong>Day</strong> 4 <strong>Given</strong> <strong>Midpoint</strong> <strong>Find</strong> <strong>EndpointCWHW</strong>.<strong>notebook</strong> September 30, 201311. In a circle whose center is (2,3), one endpoint of a diameter is (­1,5).<strong>Find</strong> the coordinates of the other endpoint of that diameter.Jun 23­10:07 AM12. The midpoint of AB is (­1, 5) and the coordinates of point A are (­3, 2). Whatare the coordinates of point B?Jun 23­10:07 AM


<strong>Day</strong> 4 <strong>Given</strong> <strong>Midpoint</strong> <strong>Find</strong> <strong>EndpointCWHW</strong>.<strong>notebook</strong> September 30, 201313. M is the midpoint of CD.The coordinates M(­1,1) and C(1,­3) are given.<strong>Find</strong> the coordinates of point D.Jun 23­10:08 AM14. M is the midpoint of AB.The coordinates A are (­2, 3) and M are (1,0) are given.<strong>Find</strong> the coordinates of point B.Jun 23­10:08 AM


<strong>Day</strong> 4 <strong>Given</strong> <strong>Midpoint</strong> <strong>Find</strong> <strong>EndpointCWHW</strong>.<strong>notebook</strong> September 30, 2013Exit:M is the midpoint of AB, given thecoordinates of A(-2, 2) and M(0, 5) , findthe coordinate of point B.Aug 30­9:43 AM

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