Given Midpoint Find EndpointCWHW.notebook
May 03, 2017
Midpoint
(In Reverse)
Objective: Student will find the other endpoint of a line segment given its midpoint and other endpoint. Method for finding an endpoint of a line segment when given one endpoint and the midpoint.
"Midpoint Backwards"
Steps:
1) Multiply the coordinates of the midpoint by 2.
2) Subtract the given endpoint from the product.
Given Midpoint Find EndpointCWHW.notebook
May 03, 2017
1. In a circle, AB is a diameter. The coordinates of A are (3, ­4) and the coordinates of the center of the circle are (1, 1). What are the coordinates of B?
Step 1: Multiply midpoint by 2.
Step 2: Subtract given endpoint from product.
**************USE PARENTHESES**************
2. The midpoint of AB is M. If the coordinates of A are (2, ­6) and the coordinates of M are (5, ­1), what are the coordinates of B?
Given Midpoint Find EndpointCWHW.notebook
May 03, 2017
4. The coordinates of the midpoint of AB are (1, 2). If the coordinates of point A are (1, 0), find the coordinates of point B.
6. 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?
Given Midpoint Find EndpointCWHW.notebook
May 03, 2017
8. M is the midpoint of AB . If the coordinates of A are (­1,5) and the coordinates of M are (3,3), what are the coordinates of B?
10. A line segment on the coordinate plane has endpoints (2,4) and (4,y). The midpoint of the segment is point (3,7). What is the value of y?
Given Midpoint Find EndpointCWHW.notebook
May 03, 2017
12. The midpoint of AB is (­1, 5) and the coordinates of point A are (­3, 2). What are the coordinates of point B?
13. M is the midpoint of CD. The coordinates M(­1,1) and C(1,­3) are given. Find the coordinates of point D.
Given Midpoint Find EndpointCWHW.notebook
14. M is the midpoint of AB. The coordinates A are (­2, 3) and M are (1,0) are given. Find the coordinates of point B.
May 03, 2017