University:
Missouri State University
Course:
MTH 103 | Intermediate Algebra
Academic year:

2021
Views:

417

Pages:

2
Author:

Joaquin Spears

Name: _____________________________________ Date: _______________ 1.4 – Midpoint Formula and 2.3 – Distance Formula How would I find the middle of the numbers 2 and 20? Midpoint Formula: Let A = (𝑥1 , 𝑦1 ) and B = (𝑥2 , 𝑦2 ) be points in the coordinate plane. The midpoint of ̅̅̅̅ 𝐴𝐵 is Find the midpoint. 1) (-3, 1) and (1, 7) 2) 3) Find the other endpoint. Endpoint = (2, 5), Midpoint = (5, 1) Distance Formula: Let A = (𝑥1 , 𝑦1 ) and B = (𝑥2 , 𝑦2 ) be points in the coordinate plane. The distance between A and B is Find the distance between the points. Keep your answer in simplest radical form. 1) (3, 8) and (9, 10) 2) (-2, 5) and (4, 1) 3) Challenge: Find the missing coordinate in point B if the distance between the points is √13. A = (1, 3) and B = (𝑥2 , 1) Midpoint and Distance Homework worksheet – Complete these problems on a separate sheet of paper. Be sure to show ALL your work. Find the midpoint of each graph or set of ordered pairs in #1-6. 1) 2) 3) (6, 1) and (-2, 5) 4) (-5, 4), (-6, 3) 5) (7, -1) and (5, -3) 6) (4, 3), (-1, 6) Find the distance between each pair of points in #7-12. Keep answers in simplest radical form. 7) 10) (7, 3) and (3, 5) 8) 9) (6, 1), (-2, 5) 11) (1, -9), (6, -6) 12) (-1, 2) and (2, -4) 13) Using Midpoint and Distance formula: Let A = (3, 4) and B = (-5, 2). Find the midpoint of ̅̅̅̅ 𝐴𝐵. Then, use the distance formula to prove that AC = CB.