Concept explainers
Exercises
In the “box” shown for Exercise 38, use intuition to answer each question.
a) Are
b) Are
c) Are
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Elementary Geometry for College Students
- Which type of path straight, curved, circular or scattered is determined by: a pepper sprinkled on a steak? b a Ferris wheel? c a rule? d the path of a snake?arrow_forwardIs it possible to draw a triangle whose sides measure a. 8, 9, and 10? b. 8, 9, and 17? c. 8, 9, and 18?arrow_forwardWhich type of path straight, curved, circular, or scattered is determined by: a a roller coaster? b a pencil? c a carousel? d darts thrown at a dartboard?arrow_forward
- In the accompanying figure, m2=68, m8=112, and m9=110. a.Which lines r and s OR l and m must be parallel? b Which pair of lines r and s OR l and m cannot be parallel?arrow_forwardWhich part hypothesis or conclusion of a theorem determines the a Drawing? b Given? c Prove?arrow_forwardIs it possible to draw a triangle whose angles measure a. 100, 100, and 60? b. 45, 45, and 90?arrow_forward
- Generalize your findings in Exercise 33. 33. Can you use the construction for the midpoint of a segment to divide a line segment into a three congruent parts? c six congruent parts? b four congruent parts? d eight congruent parts?arrow_forwardNote: Exercise preceded by an asterisk are of a more challenging nature. a In the figure, are lines m, n, and p concurrent? b If one exists, name the point of concurrence for lines m, n, and p.arrow_forwarda Which of these (AB,AB,orAB) represents the length of the line segment AB? b Which (mCBA, mCAB,or, mBAC) represents the measure of mABCarrow_forward
- Can you use the construction for the midpoint of a segment to divide a line segment into a three congruent parts? c six congruent parts? b four congruent parts? d eight congruent parts?arrow_forwarda Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.arrow_forwardIn ABC, M and N are midpoints of AC and BC, respectively. If AB=12.36, how long is MN?arrow_forward
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