Geometry 7-3 Complete Lesson: Proving Similar Triangles
By Matt Richardson
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Last updated about 2 years ago
33 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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Solve It! Are the triangles similar? (Hint: Use a centimeter ruler to measure the sides of each triangle.)
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Problem 1 Got It? Are the two triangles similar?
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How do you know?
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Problem 1 Got It? Are the two triangles similar?
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Problem 2 Got It? Are the two triangles similar?
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Problem 2 Got It? If they are similar, which similarity statement describes the relationship?
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Problem 2 Got It? Are the two triangles similar?
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Problem 2 Got It? If they are similar, which similarity statement describes the relationship?
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Problem 3 Got It? Complete the proof on the canvas.
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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?
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Problem 3 Got It? Reasoning: Explain your response to the previous item.
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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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Vocabulary: How could you use indirect measurement to find the height of the flagpole at your school?
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Error Analysis: Which solution for the value of x in the figure is not correct?
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Error Analysis: Explain your response to the previous item.
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20.
Compare and Contrast: How are the SAS Similarity Theorem and the SAS Congruence Postulate alike? How are they different?
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21.
Compare and Contrast: How are the SSS Similarity Theorem and the SSS Congruence Postulate alike? How are they different?
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22.
Review Lesson 7-2: TRAP ~ EZYD. Find the scale factor of TRAP to EZYD.
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Review Lesson 7-2:TRAP ~ EZYD. Find m∠R. Enter only a number.
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Review Lesson 7-2:TRAP ~ EZYD. Find DY. Enter only a number.
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Review Lesson 7-2:TRAP ~ EZYD. Find the ratio.
Enter only a number. Use decimal form.
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26.
Review Lesson 1-4: Classify each angle as acute, right, obtuse, or straight. You may use a protractor if necessary.
acute
right
obtuse
straight
Angle A
Angle B
Angle C
Angle D
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Review Lesson 7-1: Identify the means of the proportion.
Select all that apply.
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Review Lesson 7-1: Identify the extremes of the proportion.
Select all that apply.
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29.
Review Lesson 7-1: Solve the proportion for x.
Round to the nearest hundredth if necessary.
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30.
Vocabulary Review: Write the converse of the theorem.
If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.
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31.
Use Your Vocabulary: True or False: You can verify that two triangles are similar by showing that corresponding angles are proportional.
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Use Your Vocabulary: True or False: You can use properties, postulates, and previously proven theorems to verify steps in a proof.
