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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:
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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
1.

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 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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Pitanje 14
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Reasoning: Does it matter which two altitudes you use to locate the orthocenter of a triangle? Explain.

Pitanje 15
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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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Pitanje 20
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Pitanje 22
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Pitanje 24
24.

Reflection: Math Success

Pitanje 2
2.

Solve It! Check your answer. Were you correct?

Pitanje 4
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Problem 1 Got It? Reasoning: What is the ratio of ZA to AC? Explain.

Pitanje 5
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Pitanje 7
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Pitanje 8
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Pitanje 9
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Pitanje 11
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Pitanje 16
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Pitanje 17
17.

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.
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?
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.
Pitanje 21
21.

Your response should be in the form of two adjacent letters and not contain spaces.
Pitanje 23
23.

Problem 2 Got It?
A
B
C
D
Problem 2 Got It?
A
B
C
D
Problem 2 Got It?
A
B
C
D
Problem 3 Got It?
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B
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Review Lesson 5-3: Is segment XY a perpendicular bisector, an angle bisector, or neither?
perpendicular bisector
angle bisector
neither
Review Lesson 5-3: Is segment XY a perpendicular bisector, an angle bisector, or neither?
perpendicular bisector
angle bisector
neither
GE
HC
EF
DJ
⅔(CH)
⅔(FH)
CH
⅔(EG)