Bellwork 1.The coordinates of the endpoints of, in the standard (x, y) coordinate plane, are A (2, -4) and B( - 6, 3). What is the y-coordinate of the.

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Presentation transcript:

Bellwork 1.The coordinates of the endpoints of, in the standard (x, y) coordinate plane, are A (2, -4) and B( - 6, 3). What is the y-coordinate of the midpoint of ? 2.What is the intersection of plane TWM and plane QPW ? 3.What is the intersection of and ?

1.3b Missing Endpoints Students will be able to find missing endpoints. Students will be able to find a value for x that would make a point a midpoint.

Example 1 B is between A and C. If AB = 3x + 5 and BC = 6x – 2, AC = 21, is B a midpoint?

Example 2 If EC = 2x + 8 and CF = 8x – 4, for what value of x is C the midpoint of ?

Example 3 On the (x, y) coordinate plane, M(6, -10) is the midpoint of. If the coordinates of A are (2, -4), find the coordinates of B.

Example 4 On the (x, y) coordinate plane, R(4, -7) is the midpoint of. If the coordinates of B are (6, -3), find the coordinates of A.

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Problem 1 On the (x, y) coordinate plane, if E(-6,4) is the midpoint of and F has coordinates (-5,-5), what are the coordinates of D?

Problem 2 B is between A and C. If AB = 2x + 4 and BC = 3x – 2, for what value of x is B also the midpoint?

Problem 3 D is the midpoint of segment. If DE = 6.5, what is EF?

Problem 4 M is between P and Q. If MP = x 2 and MQ = 3x and PQ = 18, is M a midpoint?