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Parent Guide 109 Answers **1**. 4 8 = **1** 2 2. 2 8 = **1** 4 **3**. perimeter **scale** **factor** = 32 16 = 2 **1** area **scale** **factor** = 24 **6** = 4 **1** 4. perimeter **scale** **factor** = 14

**1** The **scale** **factor** for a model is 15 cm = _____ m Model : 25.25cm actual: 55.5 m 2 The **scale** of a map is 7m = 14 mi map: 28m actual: _____ mi **3** The **scale** of a map is 30 ft = 5 mi map: _____ ft actual: 45.5 mi 4 The **scale** **factor** for a model is 18 cm ...

**6**. The **scale** **factor** for the dilation was **1**__ 2. Is1 2 greater than or less than **1**? less than **1** ...

inches tall.The **scale** **factor** in the drawing is 2 **1** **3**. Find the height of the statue. 5. **6**. 7. 8. 9. 10. Copyright © by Holt, Rinehart and Winston. 68 Holt Mathematics All rights reserved. LESSON The dimensions of a **scale** model or **scale** drawing are related to the

CIVIL **1** **1** 1313131 **3** **1** 64 32 16 32 8 16 4 8 2 4 **1** Drawing **Scale** Drawing **Scale** **Factor** **1**/64" Plotted Text Height **1**/32" Plotted Text Height **1**/16" Plotted

Find and Classify a **Scale** **Factor** **3** Quadrilateral V ’Z X W’ is a dilation y x 7; 9 8 7h;h 9h 8h O of quadrilateral VZXW. Find the **scale** **factor** of the dilation, and classify it as

text height **scale** **factors** plot plotted text height **scale** **1**/16" **3**/32" **1**/8" 5/32" **3**/16" 7/72" ¼" 5/16" dsf full .0625 .09375 .125 .15625 .1875 .21875 .25 .3125 **1**

www.ck12.orgConcept **1**. **Scale** **Factor** of Similar Polygons Answer We need to ﬁnd the **scale** **factor**, so let’s set up the proportions of the sides.

Identify the **scale** **factor**. **1**. **3**. 5. 7. 2. 4. **6**. 8. 9. On a **scale** drawing, a school is **1**.**6** feet tall.The **scale** **factor** is 2 **1** 2. Find the height of the school. 10. On a road map of Pennsylvania, the distance from Philadelphia to Washington, D.C., is **6**.8 centimeters.

**6**. The triangle ABC is to be enlarged, using E as the centre, to give the triangle PQR. The line PQ is the image of the line BA. (a) Write down the **scale** **factor** of the enlargement.

the object.The **scale** can be written as a **scale** **factor**, ... information for problems **1**–**6**. **1**. What is the actual length of the living room whose distance is **1** inch on the blueprints? 2. ... **1** 2 9 20 **3** 4 **1** 2 **Scale** Drawings and Models

To determine the length of this plank at **3**/8"=**1**' **scale**, find the row for 20 feet, then translate across to the column labeled **3**/8. The value at the intersection (7-**1**/2) is the length of the **scale** plank in inches. Example #2: A ship's boom on the prototype is 38 feet long.

dilation with a **scale** **factor** **1**__ **3**. E (0, 0), F (2, 10), G (14, 4) L ( 2, 0), M(2, 0), N(2, **1**), P ( 2, **1**) **3**. Given that AEB CED, find the 4. LKM NKP, find the coordinates of C and the **scale** **factor**.

**Scale** **Factor** Worksheet. Show your work!!! Suppose you are an aerospace engineer. It is your job to design a new type of fighter jet, and you have already been given a model for it. ... There is a **scale** model of the pyramid that is 2 feet tall, and it has a base length of **1**.**3** feet.

**scale** **factor** from A to B = **1** : **3** Solve for x. The polygons in each pair are similar. 15) 8 x − 2 42 63 49 49 16) x − 2 27 18 12 36 36 24 17) 30 6x − **6** 42 35 63 49 18) 16 2x + 4 35 40 35 45 19) 3x + 11 A 42 B **scale** **factor** from A to B = 5 : **6** 20) 30 A 3x B

LESSON PLAN (Linda Bolin) Lesson Title: Proportion and **Scale** **Factor** Course: Math 7 Date February Lesson 2 Utah State Core Content and Process Standards:

**1**/16" Text 7-**1**/2" **1**' **3**" **1**' 10-**1**/2" 2' **6**" **3**' **1**-**1**/2" **3**' 9" 4' 4-**1**/2" 5' 5' 7-**1**/2" **6**' **3**" This chart is made available to the public by Design & Construction Engineers, ... Nevertheless, it helps you to determine what **scale** **factor** to choose when you begin a

(0, 0) and **scale** **factor** .**1** 2 **3**. P9(**1**, 0), Z9 ...

Math 8 Name _____ Practice **6**.7 Dilation Date: _____ Block: ____ Find the coordinates of the image of each point for dilation with a **scale** **factor** of

Parent Guide 57 **3**. Original **3** 2 **6** 7 New **6** 12 14 4 4. Original 12 9 New 4 **3** 5. A triangle has sides 5, 12, and 13. The triangle was enlarged by a **scale** **factor** of 300%.

Answers: **1**. **scale** **factor**: 7 5 ratio of surface areas: 49 25 ratio of volumes: 343 125 2. **scale** **factor**: 8 12 or 2 **3** ratio of surface areas: 64 144 or 4 9 ratio of volumes:

Graph the image of rectangle PQRS after a dilation with a **scale** **factor** of **1**/4, centered at the origin. 10 y -10 -8 -**6** -4 -2 2 4 **6** 8 10 8 **6** 4 2 -2 -4 -**6** -8 -10 x 10 y -10 -8 -**6** -4 -2 2 4 **6** ...

Vocabulary **scale** model **scale** **factor** **scale** **scale** drawing This HO gauge model train is a **scale** modelof a historic train. A is a proportional three-dimensional model of an

**3** cm 2 cm **3**.2 in 4.**1** in 2.5 in **1**.**6** in We can use the **scale** **factor** method to solve the proportion by “scaling up” both 4 and **3** in the second ratio by 2 as follows.

proportionate to **1**/2" **scale** (text would be drawn **3**” high…**scale** **factor** 24 times **1**/8”, the size we want the text, equals 24/8”, or **3**”). So, we want the detail to be **1**/24th the full size. When we

The units, inches, cancel out, leaving a **scale** **factor** of **1** 48. Pre-Algebra Notes SOL 8.**3** (**6**-**3**) **Scale** Drawings Mrs. Grieser 2 Example 2: The central chamber of the Lincoln memorial, which features a marble statue of Abraham Lincoln, has a height of 60 feet.

A- **Scale** **factor** -**1**/ **3** about (-**3**,**6**) B- **Scale** **factor** -2 about (-**3**,0) 7). A- **Scale** **factor** **1**/ 2 about (-5,4) B- **Scale** **factor** -**1** about (2,-5) 8). A- **Scale** **factor** **3** about (-**6**,8) B- **Scale** **factor** -**3** about (**3**,-2) 9). A- **Scale** **factor** -**1**/ 2 about (2,7) B- **Scale** **factor** -**3** about (**3**,**1**)

On your own… **1**. Suppose the volume of a rectangular prism is 40 ft3. Find the new volume, if the dimensions are multiplied by a **scale** **factor** of **3**.

Using **Scale** in Drawings (Notes on using ratios and proportions) **SCALE** **FACTOR** Figures that are congruent have exactly the same size and shape. They have a **1**:**1** ratio to each other.

12.7 Similar Solids 769 **1**.If two solids are similar with a **scale** **factor** of p:q, then corresponding areas have a ratio of ?, and corresponding volumes have a ratio of ?

748 Chapter 13 Angle Relationships and Transformations Computer GraphicsAn artist uses a computer program to enlarge a design, as shown. What is the **scale** **factor** of

Lesson cont’d Now, multiply the original dimensions by a **scale** **factor** of **3** and complete the table. Let’s complete the entire table. Check for Understanding

Note: Measurements from zero to **scale** **factor** are 12 inches or **1** foot. Determine measurements by determining **3**”, **6**” and 9” increments first. Record measurement in foot and inches. Do not forget symbols for foot ( ‘ ) and inches ( “ )

8.7 Dilations 509 **1**.In a dilationevery image is ? to its preimage. 2.ERROR ANALYSIS Katie found the **scale** **factor** of the dilation shown to be **1** 2. What did Katie do wrong?

... **scale** **factor** = **1** : 2 SA = 90 yd ...

GLE: [7] MEA-**3** Applying a given **scale** **factor** to find missing dimensions of similar figures (M2.**3**.4) State Items: **1**. Taipei, Taiwan celebrated the opening of the world’s tallest skyscraper recently.

5 inches and a width of **3**.5 inches. If the **scale** is **1** in. : **3** ft, what is the area of the actual garden? Write the decimal as a fraction or mixed number.(Lesson 4.7) 24. 0.**6** 25. 0.28 26. **1**.75 27. 5.025 28. Use the cross products property to solve the proportion 5 4 2 c 8.

**3**. 5 inches 4. 12 inches 5. 32 inches **6**. **1** foot Write the **scale** without units. 7. **1** in. : 28 yd 8. **1** in. : 4 ft 9. **1** cm : 12 m 10. **1** mm:2 m 11. Bedroom Shown below is a **scale** drawing of a student’s bedroom. Use

Give students additional practice with a **scale** **factor** of **1** 2, **3**, and 4. Individual whiteboards could be used for this practice. Assessment Questions o How does dilating a figure affect the size, shape, and position of that figure?

4. Build a cube with side length of **1**. Build a similar figure using a **scale** **factor** of **3**. Sketch it here. Volume of smaller cube _____. Volume of larger cube _____.

**3** **1**. **6** 5 • 5 x≈ 22.9 inches ... ratio of **3** 2 is the **scale** **factor** of WXYZto PQRS. Using Similar Polygons The rectangular patio around a pool is similar to the pool as shown. Calculate the **scale** **factor** of the patio to the pool, and find the ratio of their perimeters.

... (0, 0), K( **1**, 2), L(**3**, 4); **scale** **factor**: 2 **6**.A(0, 0), B(0, **6**), C(**6**, **3**); **scale** **factor**:**1**__ **3** ...

The **scale** **factor** is **1** 12. What is the length of the actual bathroom wall in inches? What is the length in feet? ID: A **1** **Scale** drawings Comp 9 Answer Section MULTIPLE CHOICE **1**. B 2. A **3**. D 4. A 5. D **6**. B SHORT ANSWER **1**. 8 inches Set up a proportion and solve for the length. **1** in. 10 ft =

What is the **scale** **factor** of the dilation? A **1** **3** B **1** 2 C 2 D **3** . North Carolina Testing Program EOG Grade 8 Math Sample Items Goal **3** Page 5 Published April 2008. May reproduce for instructional and educational purposes only; not for personal or financial gain.

Integrated I Section **6**-**6** Dilations **6**-**6** Dilations Example 2 Give the coordinates of the center and the **scale** **factor**. Solution Draw rays from the A` through A, B` through B, and C’ through C.

Drawing **Scale** **Scale** **Factor** **1**/16”=**1**’-0” **1**/192 **3**/32”=**1**’-0” **1**/128 **1**/8”=**1**’-0” **1**/96 **3**/16”=**1**’-0” **1**/64 **1**/4”=**1**’-0” **1**/48 **3**/8”=**1**’-0” **1**/32 **1**/2”=**1**’-0” **1**/24 **3**/4”=**1**’-0” **1**/16 2 **1** **3**. 4.

Then find the coordinates of the vertices of the image after a dilation having a **scale** **factor** of **3**, and draw the image. 22) Draw with vertices P(4, 4), Q(8, 0), and .

MNOP&using&a&**scale**&**factor**&of&**1**/**3**&and& the&origin&as&the¢er&of&dilation.& M:&_____& M’:_____& N:_____& N’:_____& O:&_____& O’:&_____& P:&_____& P’:_____& Name ...

The **scale** **factor** is 2.54 cm : **1** in. What is the diameter of the **scale** model of the ball? 127 cm 15. Amodel of a skyscraper is **1** **1** 5 in. long, **1** **3** 5 in. wide, and 16 in. high. ... actual distance map **scale**: **1** cm **3**. An archway in a **1** more time? 5 more times? **1** 2

Example 2: Find the image of ABC under the size transformation with center O and **scale** **factor** **1**.5 A B C O Example **3**: Construct the image of point P under a size transformation with center O and **scale** **factor** **1** 2 P O 2. c Kendra Kilmer June 24, 2008