Use Proportions to Solve Geometry Problems

Slides:



Advertisements
Similar presentations
5.7 Scale Drawings and Models
Advertisements

On a blueprint, the living room is 4 in. by 3 in. The scale is in. = 8 ft. What are the length and width of the actual living room? Scale Models and Maps.
Properties of Proportions 7-2. EXAMPLE 4 Use a scale drawing SOLUTION Maps The scale of the map at the right is 1 inch : 26 miles. Find the actual distance.
EXAMPLE 1 Use properties of proportions SOLUTION NP ST MN RS = Because 4 x = 8 10, then In the diagram, NP ST MN RS = Write four true proportions. By the.
Lesson 6.5 Scale Drawings Students will be able to understand ratios and proportions in scale drawings.
2-8 Proportions and Similar Figures
Scale Drawings.
Learning Target I can use proportional reasoning to solve scale drawing problems.
Proportions and Scale Drawings Textbook Pages
Similar Shapes and Scale Drawings
6-8 Scale Drawings How did they do that????.
2.5 Solving Proportions Write and use ratios, rates, and unit rates. Write and solve proportions.
Proportions and Scale Drawings Textbook Pages
What will I learn today? Learn to understand ratios and proportions in scale drawings. Learn to use ratios and proportions with scale.
Maps and Scale Drawings
Scale Drawings & Scale Models
Warm Up The scale of a drawing is 4 in. = 12 ft. Find each actual measurement in in. The scale of a map is 1 in. = 3.5 mi. Find each length.
Scale Factor. Organizer What is it?Find a Scale Factor #1 RuleReal Word Problem Scale Factor.
Objectives: To solve proportions and write ratios.
6.2 – Use Proportions to Solve Geometry Problems
Geometry Notes Lesson 4.3B – Similarity and Scale Drawings T.2.G.1 Apply congruence (SSS …) and similarity (AA …) correspondences and properties of figures.
Chapter 8 Lesson 1 Objective: To write ratios and solve proportions.
Scale Drawings & Proportions
Objectives: To solve proportions and write ratios.
EXAMPLE 1 Use properties of proportions SOLUTION NP ST MN RS = Because 4 x = 8 10, then In the diagram, NP ST MN RS = Write four true proportions. By the.
Use scales to find missing parts: maps blueprints models
Catalyst Thursday, October 6, 2011 Of the 75 teachers at a school, 15 teach mathematics. What percent of the teachers at the school teach mathematics?
Lesson 17 Using Scale Drawings. Scale Drawings Scale drawings and scale models make it possible to show objects accurately that are either too large or.
All scale drawings must have a scale written on them. Scales are usually expressed as ratios. Normally for maps and buildings the ratio: Drawing length:
6.2 Use Proportions to Solve Geometry Problems. Objectives UUUUse properties of proportions to solve geometry problems UUUUnderstand and use scale.
I can use proportions to solve problems involving scale.
Do Now 1/17/12 Take out HW from Friday. Take out HW from Friday.  Practice worksheets 4.5 B & C Copy HW in your planner. Copy HW in your planner.  
GEOMETRY: Chapter 8 8.2: Use Proportions to Solve Geometry Problems.
Example 1 Use a Scale Drawing MAPS The distance between Boston and Chicago on a map is 9 inches. If the scale of the map is 1 inch: 95 miles, what is the.
RATIOS and PROPORTIONS REVIEW By: Teachers who care!
A scale model or scale drawing is an object or drawing with lengths proportional to the object it represents. The scale of a model or drawing is the ratio.
7-2 Similar Polygons. Similar Figures: have the same shape but not necessarily the same size. You can abbreviate is similar to with the symbol ~
Computing Actual Lengths From a Scale Drawing Learning Target I can compute actual lengths in a picture using the scale.
Similar Figures and Scale Drawings
Scale Factor.
Scale Drawings. Scale – The ratio that compares the measurements of the real object and its model. EX: 1 in = 6 ft Scale factor – written as a ratio without.
6.2 Use Proportions to Solve Geometric Problems Goal:You will use proportions to solve geometry problems.
6.2 USE PROPORTIONS TO SOLVE GEOMETRIC PROBLEMS Goal:You will use proportions to solve geometry problems.
Chapter 6.2 Notes: Use Proportions to Solve Geometry Problems Goal: You will use proportions to solve geometry problems.
6.2 Use Proportions to Solve Geometry Problems Hubarth Geometry.
7.1 Ratios and Proportions. Ratios Ratio: A comparison of two quantities by division. 1) The ratio of a to b 2) a : b Ratios can be written in three ways…
PreAlgebra Farris * I can use scale drawings and construct scale drawings.
Ms. Drake 7th grade Math Fractions Lesson 46 Scale Drawings and Scale Models.
6.2 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Use Proportions to Solve Geometry Problems.
How to write ratios and solve proportions. Chapter 7.1GeometryStandard/Goal: 1.3, 2.1, 4.1.
6.2 Use Proportions to solve Geometry Problems. Properties of Proportions.
Scale Drawing and Scale Models
I Can Solve Problems Using Scale Drawings!
Learn to understand ratios and proportions in scale drawings
8.2 Problem Solving in Geometry with Proportions
Scale Drawings Bell Ringers
Scale and use scale drawings to solve problems.
Today’s Lesson: Scale proportions What: Why:
Proportions.
Section 8.1 Ratio and Proportion
Maps and scale drawings are:
= Divide each measure by the GCF, 3. drawing length actual length
The distance on the map or drawing or the actual distance.
Maps and Scale Drawings
Chapter 3: Solving Equations
AIM 7-5: How can we use ratios to make indirect measurements?
Goal: The learner will use proportions to find measures of objects.
Insert Lesson Title Here
6.2 Use Proportions to Solve Geometric Problems
Rates, Ratios and Proportions
Presentation transcript:

Use Proportions to Solve Geometry Problems 6.2 Use Proportions to Solve Geometry Problems

CROSS PRODUCT PROPERTY    

PROPERTIES OF PROPORTIONS        

EXAMPLE Write three true proportionality statements

EXAMPLE Is the following statement true or false. Why?

EXAMPLE

Your Turn

SCALE DRAWINGS AND SCALE Scale Drawing: A drawing that is the same shape as the object it represents Maps, Blueprints, Paintings, Photographs Scale: A ratio that describes how the dimensions in the drawing relates to the actual dimensions of the objects

EXAMPLE The distance between two locations on a map is given along with the actual distance between the locations. Find the scale of the map. Map Distance: 3 in; Actual Distance: 100 yd Map Distance: 16 in; Actual Distance: 800 ft

EXAMPLE The blueprint shows a scale drawing of a cell phone. The length of the antenna on the blueprint is 5 cm. The actual length of the antenna is 2 cm. What is the scale of the blueprint?