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

Last updated 4 months ago

44 Nsɛmmisa

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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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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.

A.CED.1

A.REI.3

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2.

Explain your reasoning.

A.CED.1

A.REI.3

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3.

Vocabulary: Define similar figures your own words.

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4.

Problem 1 Got It?

D

C

B

A

A.CED.1

A.REI.3

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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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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?

A

B

C

D

A.CED.1

A.REI.3

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7.

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?

About 66 miles

About 27 miles

About 52 miles

About 34 miles

A.CED.1

A.REI.3

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9.

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?

100 ft

8.33 ft

3600 ft

300 ft

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10.

A

B

C

D

A.CED.1

A.REI.3

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11.

A

B

C

D

A.CED.1

A.REI.3

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12.

A

B

C

D

A.CED.1

A.REI.3

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13.

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?

not enough information to tell

no

yes

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14.

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

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15.

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

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16.

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

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17.

Vocabulary Review: Categorize each pair of ratios.

Form a proportion
DO NOT form a proportion

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18.

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

Similar figures
NOT similar figures

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19.

Solve for x.

12

56

0.75

4

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20.

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

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21.

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

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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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40.

Answer question 1

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41.

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

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42.

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

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23.

What is the measurement of this segment?

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24.

What is the measurement of this segment?

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25.

What is the measurement of this segment?

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26.

What is the measurement of this segment?

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27.

What is the measurement of this segment?

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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

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29.

What is the measurement of this angle?

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30.

What is the measurement of this angle?

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31.

What is the measurement of this angle?

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32.

What is the measurement of this angle?

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33.

What is the measurement of this angle?

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34.

What is the measurement of this angle?

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35.

What is the ratio of these two sides?

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36.

What is the ratio of these two sides?

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37.

What is the ratio of these two sides?

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43.

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

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44.

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