University:
Morehouse College
Course:
HMTH 105 College Algebra 2
Academic year:

2022
Views:

24

Pages:

4
Author:

StellarStrategist

Algebra II Name Lesson #1: The Distance Formula You can use the distance formula to find the distance between two points in a coordinate plane. a. Label the points b. Substitute the values in for the variables c. Evaluate the parenthesis first d. Next evaluate exponents (remember when you square a negative you always get a positive) e. Add the two numbers together f. Then take the square root g. Round your answer to the nearest tenth. Find the distance between the two points. Round your solution to the nearest tenth. 1. (7, –6) and (–1, –6) 2. (5, 2) and (5, –4) 3. (12, –7) and (–4, 3) distance = _______________ distance = _______________ distance = _______________ 4. (0, 4) and (4, 5) 5. (–2, 0) and (2, 8) 6. (3, 7) and (–5, –9) distance = _______________ distance = _______________ distance = _______________ Lesson #2: The Midpoint Formula You can use the midpoint formula to find the midpoint of a line segment in a coordinate plane. The midpoint of a line segment is the point on the segment that is equidistant (the same distance) from its endpoints. Midpoint can also be thought of as an average. a. b. c. d. Label the points Substitute the values in for the variables Add the values in the numerator first; then divide the numerators by 2 Write your answer as an ordered pair (x, y); this is your midpoint! Find the midpoint of the line segment connecting the given points. 7. (7, –6) and (–1, –6) 8. (5, 2) and (5, –4) 9. (12, –7) and (–4, 3) midpoint _______________ midpoint _______________ midpoint _______________ 10. (0, 4) and (4, 5) 11. (–2, 0) and (2, 8) 12. (3, 7) and (–5, –9) midpoint _______________ midpoint _______________ midpoint _______________ Lesson #3: Classify a triangle as scalene, isosceles, or equilateral Remember what you know about each triangle: Scalene Triangle All 3 sides different lengths Isosceles Triangle Equilateral Triangle 2 sides the same length All 3 sides the same length a. Plot the three points and draw the triangle b. Use the distance formula to find the length of each side c. Determine if the triangle is scalene, isosceles, or equilateral Your Turn to Practice: Solve the equation for y. 13. A(2, 7) B(4, 4) C(−1, −1) 14. AB=_________ AB=_________ BC=_________ AC=_________ Classify Triangle= _________________________ A(−2, 5) B(−1, −4) C(7, 4) BC=_________ AC=_________ Classify Triangle= _________________________ 15. A(1, 6) B(2, 5) C(2, 7) AB=_________ BC=_________ 16. AC=_________ Classify Triangle= _________________________ A(1, 3) B(−3, 1) C(2, 2) AB=_________ BC=_________ AC=_________ Classify Triangle= _________________________

Math Algebra the Distance Formula Worksheet

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