Geometry 5-4 Medians and Altitudes
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by Matthew Richardson
| 24 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.
The outlined content above was added from outside of Formative.
The outlined content above was added from outside of Formative.
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1
10 pts
Solve It! Draw a large acute scalene △ABC. On each side, mark the point that is ⅕ of the distance from one of the side's endpoints, as shown in the diagram. Connect each fo these points to the opposite vertex. Repeat this process for ¼ and ⅓. What do you think think the results will be for ½? Explain.
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5 pts
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10 pts
Problem 1 Got It? In the diagram for Problem 1, ZA = 9. What is the length of segment ZC? Enter only a number. Use decimal form, if necessary.
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10 pts
Problem 1 Got It? Reasoning: What is the ratio of ZA to AC? Explain.
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5
10 pts
Problem 2 Got It?
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D
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6
10 pts
Problem 2 Got It?
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7
10 pts
Problem 2 Got It?
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10 pts
Problem 3 Got It?
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9
10 pts
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10
10 pts
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10 pts
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10 pts
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10 pts
Reasoning: Does it matter which two altitudes you use to locate the orthocenter of a triangle? Explain.
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10 pts
Reasoning: The orthocenter of △ABC lies at vertex A. What can you conclude about segment BA and segment AC? Explain.
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10 pts
Review Lesson 5-3: Is segment XY a perpendicular bisector, an angle bisector, or neither?
perpendicular bisector
angle bisector
neither
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10 pts
Review Lesson 5-3: Is segment XY a perpendicular bisector, an angle bisector, or neither?
perpendicular bisector
angle bisector
neither
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10 pts
Review Lesson 2-2: Match the statemens on the left with their negations on the right. Each statement should only be used once.
• Two angles are congruent.
• You are not 16 years old.
• m∠A < 90
• m∠A > 90
• Two angles are not congruent.
• You are 16 years old.
• m∠A ≥ 90
• You are 17 years old.
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10 pts
Vocabulary Review: Use Yes and No to respond to each question.
• Yes
• No
• Are three diameters of a circle concurrent?
• Are two diagonals of a rectangle concurrent?
• Is the intersection of three streets a point of concurrency?
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10 pts
Use Your Vocabulary: Label each statement as True or False.
• True
• False
• The median of a triangle is a segment that connects the midpoint of one side to the midpoint of an adjacent side.
• The point of concurrency of the medians of a triangle is where they intersect.
• A triangle has only one median.
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5 pts

GE
HC
EF
DJ
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5 pts
Your response should be in the form of two adjacent letters and not contain spaces.
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5 pts

⅔(CH)
⅔(FH)
CH
⅔(EG)
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10 pts
Reflection: Math Success