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Supplemental #9 Similarity and Congruent Part of Similar Figures (7/6/20) Due 7/9/20 @3pm

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44 questions
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Essential Question: If you know two figures are similar, what can you determine about measures of corresponding angles and lengths?

Learning Target: Students will be able to recognize the features of similar objects and make comparisons between similar objects.


Show work and use full sentences for credit.

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Question 1
1.

Solve It! A sailboat and an accurate model of the boat are shown. How many feet long is the model sailboat? Enter only a number.

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Question 2
2.

Explain your reasoning.

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Question 3
3.

Vocabulary: Define similar figures your own words.

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Question 4
4.

Problem 1 Got It?

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Question 5
5.

Problem 2 Got It? Create a diagram on the canvas to represent the scenario. Remember that you can insert pictures of objects -- like a man, a flagpole, a shadow, etc. -- instead of drawing them all. Be sure to label all important information.

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Question 6
6.

Problem 2 Got It? A man who is 6 ft tall is standing next to a flagpole. The shadow of the man is 3.5 ft and the shadow of the flagpole is 17.5 ft. What is the height of the flagpole?

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Question 7
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Problem 3 Got It? The distance from Jacksonville to Gainsville on the map is about 0.6 in. What is the actual distance from Jacksonville to Gainsville?

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Question 9
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Problem 4 Got It? A scale model of a building is 6 in. tall. The scale of the model is 1 in. : 50 ft. How tall is the building?

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Question 10
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Question 11
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Question 12
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Question 13
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Reasoning: The scale of a map is 1 in. : 100 mi. Is the actual distance between two towns 100 times the map distance between the two towns?

Question 14
14.

Review Lesson 2-7: Solve the proportion.
Enter only a number. Use decimal form, if necessary.

Question 15
15.

Review Lesson 2-7: Solve the proportion.
Enter only a number. Use decimal form, if necessary.

Question 16
16.

Review Lesson 2-7: Solve the proportion.
Enter only a number. Use decimal form, if necessary.\

Question 17
17.

Vocabulary Review: Categorize each pair of ratios.

  • Form a proportion
  • DO NOT form a proportion
Question 18
18.

Use Your Vocabulary: Categorize each pair of figures based on whether or not they are similar figures..

  • Similar figures
  • NOT similar figures
Question 19
19.

Solve for x.

Question 20
20.

The triangles below are "nested" figures. Draw them seperately and label the side lengths of both triangles using the draw tool.

Question 21
21.

In the image above, what is the measure of side DE?

Question 22
22.

If a tree casts a 45-foot shadow at the same time that a 6-foot tall man casts a 7.5-foot shadow, find the height of the tree.

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Question 40
40.

Answer question 1

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Question 41
41.

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D
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B
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D
About 66 miles
About 27 miles
About 52 miles
About 34 miles
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Question 23
23.

What is the measurement of this segment?

Question 24
24.

What is the measurement of this segment?

Question 25
25.

What is the measurement of this segment?

Question 26
26.

What is the measurement of this segment?

Question 27
27.

What is the measurement of this segment?

Question 28
28.

What is the measurement of this segment?

Use this extension in Chrome to measure the angles on teh worksheet:
https://chrome.google.com/webstore/detail/protractor/kpjldaeddnfokhmgdlmpdlecmobaonnj?hl=en
Question 29
29.

What is the measurement of this angle?

Question 30
30.

What is the measurement of this angle?

Question 31
31.

What is the measurement of this angle?

Question 32
32.

What is the measurement of this angle?

Question 33
33.

What is the measurement of this angle?

Question 34
34.

What is the measurement of this angle?

Question 35
35.

What is the ratio of these two sides?

Question 36
36.

What is the ratio of these two sides?

Question 37
37.

What is the ratio of these two sides?

Question 38
38.
Question 39
39.
Tell whether one figure appears to be a dilation of the other figure.
Explain.
Question 42
42.

Tell whether one figure appears to be a dilation of the other figure.
Explain.

Question 43
43.

Is the scale factor of the dilation of △ABC equal to 1/2? Explain.

Question 44
44.

Square A is a dilation of square B. What is the scale factor?