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Geometry 5-3 Bisectors in Triangles
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by Matthew Richardson
| 21 Questions
Note from the author:
A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.
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1
10 pts
Solve It! Construct a circle and label its center C. Choose any three points on the circle and connect them to form a triangle. Draw three lines from C such that each line is perpendicular to one side of the triangle. What conjecture can you make about the two segements into which each side of the triangle is divided? Justify your reasoning.
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2
10 pts
Problem 1 Got It?
A
B
C
D
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3
10 pts
Problem 2 Got It? In Problem 2, the town planner wants to place a bench equidistant from the three trees in the park. Where should he place the bench?
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4
10 pts
Problem 3 Got It? QN = 5x + 36 and QM = 2x + 51. What is QO? Enter only a number.
5
10 pts
Problem 3 Got It? Reasoning: Is it possible for QP to equal 50? Explain.
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6
10 pts
A
B
C
D
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7
10 pts
A
B
C
D
8
10 pts
Vocabulary: A triangle's circumcenter is outside the triangle. What type of triangle is it?
Acute
Right
Obtuse
9
10 pts
Reasoning: You want to find the circumcenter of a triangle. Why do you only need to find the intersection of two of the triangle's perpendicular bisectors, instead of all three?
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10
10 pts
Error Analysis: Your friend sees the diagram and concludes that CT = CP. What is the error in your friend's reasoning?
11
10 pts
Compare and Contrast: How are the circumcenter and incenter of a triangle alike? How are they different?
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12
10 pts
Review Lesson 5-2: Find the value of x. Enter only a number.
13
10 pts
Review Lesson 5-2: Find AD. Enter only a number.
14
5 pts
Review Lesson 1-7: Find the coordinates of the midpoint of segment AB with the given endpoints.

(6, 8)
(6, 16)
(0, 16)
(3, 8)
15
10 pts
Review Lesson 1-7: Find the coordinates of the midpoint of segment AB with the given endpoints.
Enter your answer in this format, (3, 5.2), with the only space being immediately after the comma.
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16
5 pts
T
F
17
5 pts
T
F
18
5 pts
T
F
19
10 pts
Use Your Vocabulary: Complete each statement with concurrency, concurrent, or concurrently.
  • Two classes are __?__ when they meet at the same time.
    Answer by dragging items here
  • The point of __?__ of three streets is the intersection of the streets.
    Answer by dragging items here
  • A person may go to school and hold a job __?__.
    Answer by dragging items here
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20
10 pts
Use Your Vocabulary: Categorize each diagram as concurrent or not concurrent.
  • concurrent
    Answer by dragging items here
  • not concurrent
    Answer by dragging items here
21
10 pts
Reflection: Math Success
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