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Geometry 5-4 Complete Lesson: Medians and Altitudes

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Posljednje ažuriranje about 4 years ago
24 questions
Napomena autora:

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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Pitanje 1
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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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Pitanje 2
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Solve It! Check your answer. Were you correct?

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Pitanje 3
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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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Problem 1 Got It? Reasoning: What is the ratio of ZA to AC? Explain.

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Problem 2 Got It?

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Problem 2 Got It?

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Problem 2 Got It?

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Problem 3 Got It?

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Reasoning: Does it matter which two altitudes you use to locate the orthocenter of a triangle? Explain.

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Reasoning: The orthocenter of △ABC lies at vertex A. What can you conclude about segment BA and segment AC? Explain.

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Review Lesson 5-3: Is segment XY a perpendicular bisector, an angle bisector, or neither?

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Review Lesson 5-3: Is segment XY a perpendicular bisector, an angle bisector, or neither?

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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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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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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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Reflection: Math Success

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Your response should be in the form of two adjacent letters and not contain spaces.

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