Geometry 7-3 Complete Lesson: Proving Similar Triangles
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Last updated about 4 years ago
33 questions
Note from the author:
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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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Question 10
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Problem 3 Got It? Complete the proof on the canvas.
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Question 12
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Problem 3 Got It? Reasoning: Explain your response to the previous item.
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Question 13
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Problem 4 Got It? Reasoning: Why is it important that the ground be flat to use the method of indirect measurement illustrated in Problem 4? Explain.
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Question 14
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Question 15
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Question 16
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Question 17
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Vocabulary: How could you use indirect measurement to find the height of the flagpole at your school?
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Question 19
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Error Analysis: Explain your response to the previous item.
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Question 20
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Compare and Contrast: How are the SAS Similarity Theorem and the SAS Congruence Postulate alike? How are they different?
Question 21
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Compare and Contrast: How are the SSS Similarity Theorem and the SSS Congruence Postulate alike? How are they different?
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Question 23
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Question 27
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Question 28
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Question 29
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Question 30
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Vocabulary Review: Write the converse of the theorem.
If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.
Question 31
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Question 32
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Question 33
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Reflection: Math Success
Question 1
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Question 2
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Question 3
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How do you know?
Question 4
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Question 6
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Question 7
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Question 8
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Question 9
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Question 11
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Question 18
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Question 22
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Review Lesson 7-2:TRAP ~ EZYD. Find m∠R. Enter only a number.
Question 24
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Review Lesson 7-2:TRAP ~ EZYD. Find DY. Enter only a number.
Question 25
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Review Lesson 7-2:TRAP ~ EZYD. Find the ratio.
Enter only a number. Use decimal form.
Question 26
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Review Lesson 7-1: Identify the means of the proportion.
Select all that apply.
x
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18
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Review Lesson 7-1: Identify the extremes of the proportion.
Select all that apply.
x
8
18
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Review Lesson 7-1: Solve the proportion for x.
Round to the nearest hundredth if necessary.
x = 10.67
x = 54
x = 2
x = 6
Use Your Vocabulary: True or False: You can verify that two triangles are similar by showing that corresponding angles are proportional.
True
False
Use Your Vocabulary: True or False: You can use properties, postulates, and previously proven theorems to verify steps in a proof.
True
False
Solve It! Are the triangles similar? (Hint: Use a centimeter ruler to measure the sides of each triangle.)
Yes
No
Problem 1 Got It? Are the two triangles similar?
Yes
No
Problem 1 Got It? Are the two triangles similar?
Yes
No
Problem 2 Got It? Are the two triangles similar?
Yes
No
Problem 2 Got It? If they are similar, which similarity statement describes the relationship?
The triangles are NOT similar.
△ABC ~ △EFG, by SSS
△ABC ~ △GEF, by SSS
△ABC ~ △FGE, by SSS
Problem 2 Got It? Are the two triangles similar?
Yes
No
Problem 2 Got It? If they are similar, which similarity statement describes the relationship?
The triangles are NOT similar.
△ACE ~ △AWL, by SAS
△ACE ~ △LAW, by SAS
△ACE ~ △ALW, by SAS
Problem 3 Got It?Reasoning: For the figure in the previous item, suppose that your are given only that the following proportion is true.
Could you prove that the triangles are similar?
Yes
No
Error Analysis: Which solution for the value of x in the figure is not correct?
A
B
Review Lesson 7-2: TRAP ~ EZYD. Find the scale factor of TRAP to EZYD.
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Review Lesson 1-4: Classify each angle as acute, right, obtuse, or straight. You may use a protractor if necessary.
