Exam C on Collge Algebra - Test Bank Exercises in CHAPTER 3 Exercise Set 3.1 1 Use the midpoint and the distance formulas respectively to find(a the

# Exam C on Collge Algebra - Test Bank Exercises in CHAPTER 3...

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51Exercise Set 3.11.Use the midpoint and the distance formulas, respectively, to find (a) the midpoint and (b) the dis-tance between the points (6, 5) and (–1, 4).2.Use the midpoint and the distance formulas, respectively, to find (a) the midpoint and (b) the dis-tance between the points (1/2, –3) and (1, 0).3.Use the midpoint and the distance formulas, respectively, to find (a) the midpoint and (b) the dis-tance between the points (, 5/3) and (0, 1/3).4.Given the points A=(–4, 3), B=(–5, 7), and C=(–1, 6), use the distance formula to find thelengths AB, BC, and CA, and determine whether the triangle ABCis (a) a right triangle, (b) anisosceles, (c) an equilateral triangle, or (d) neither.5.Give the points A=(1, 1), B=(–2, 4), and C=(3, 3), use the distance formula to find the lengthsAB, BC, and CA, and determine whether the triangle ABCis (a) a right triangle, (b) an isosceles, (c)an equilateral triangle, or (d) neither.6.Given the points A=(–1, 1), B=(6, 3), and C=(1, –6), use the distance formula to find thelengths AB, BC, and CA, and determine whether the triangle ABC7.Given the points A=(1, 3), B=(8, 5), and C=(3, –4), use the distance formula to find the lengthsAB, BC, and CA, and determine whether the triangle ABC8.Given the points A=(–1, 1), B=(3, 1), and C=(1, 1 +), use the distance formula to findthe lengths AB, BC, and CA, and determine whether the triangle ABC9.Using the formula find the area of the right triangle whose vertices are(–3, –1), (4, 1), and (–1, –8).Area12(base) (height),233Test Bank Exercises in CHAPTER3
10. The Heron’s formulasays that if a, b, and care the side lengths of a triangle, and 2s=a+b+c, thenthe area of the triangle isFind the area of each triangle in problems 4to 8 above.11. The area of a triangle whose vertices are the points (x1, y1), (x2, y2), and (x3, y3) is given byUse this formula to find the area of each triangle in problems 4 to 8 above.12. Three vertices of a square are (4, –1), (0, –3), and (2, 3). Find the fourth vertex.13. An end point and the midpoint of a line segment are respectively (3, –5) and (–1, 2). Find the otherendpoint.14. Without graphing, determine if the points (–1, 0), (7, 4), and (11, 6) lie on the same straight line.15. Sketch the parallelogram with vertices (–5, 1), (6, 5), (9, 10), and (–2, 6). Find the midpoints of thetwo diagonals of this parallelogram. Can you draw any conclusion from this?
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