6.2 USE PROPORTIONS TO SOLVE GEOMETRIC PROBLEMS Goal:You will use proportions to solve geometry problems.

Slides:



Advertisements
Similar presentations
5.7 Scale Drawings and Models
Advertisements

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.
Scale Drawings Today you will learn to: identify similar figures
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.
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 from Pocahontas to Algona.
3-5: Proportions and Similar Figures
Learning Target I can use proportional reasoning to solve scale drawing problems.
Proportions and Scale Drawings Textbook Pages
RATIOS OF SCALE DRAWINGS. SCALE DRAWINGS SCALE DRAWINGS: A scale drawing is a drawing that represents a real object. The scale of the drawing is the ratio.
Similar Shapes and Scale Drawings
Proportions and Scale Drawings Textbook Pages
Estimating Measurements 5.1a Estimate the area of irregular shapes, angle measurement, or weight of common objects 5.2a Estimate, make and use direct and.
6.2 – Use Proportions to Solve Geometry Problems
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.
3-6 Ratios and Proportions Objective: Students will determine whether two ratios are proportional and solve proportions. S. Calahan 2008.
Use scales to find missing parts: maps blueprints models
Find Actual Measurements
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.
GEOMETRY: Chapter 8 8.2: Use Proportions to Solve Geometry Problems.
8.2 Problem Solving in Geometry with Proportions.
Solve the following proportions. a = 9 b = 7 c = 6 d = 6.
Scale Drawing and Models
Extension 3.6 Proportions and Similar Figures A.What do you know about similar triangles and congruent triangles? B.Definitions 1.Similar triangles – have.
Chapter 7 Vocab Review. 1. Write the generic formula (proportion) for geometric mean (x) of two positive numbers a & b.
Bell Work: The area of the hexagonal base of a pyramid is 18√3. the height of the pyramid is 12. what is the volume?
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 ~
8-1 R ATIOS AND P ROPORTIONS M11.C D Objectives: 1) To write ratios and solve proportions.
 Two figures are similar if…  1.) Their corresponding angles are congruent  2.) The corresponding sides are PROPORTIONAL!!! 5 in A B C D 4 in 10 in.
Similar Figures and Scale Drawings
Course 2, Lesson 7-5 Find the length of each object on a scale drawing with the given scale. Then find the scale factor. 1. a subway car 34 feet long;
Section 6.6 Scale Drawings
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.
Lesson 7 – 7 Scale Drawings and Models
PreAlgebra Farris * I can use scale drawings and construct scale drawings.
Course 2, Lesson 7-4 Use the make a model strategy to solve Exercises 1 and 2. A 15-inch by 20-inch piece of poster board has a 3.5-inch square cut out.
6.2 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Use Proportions to Solve Geometry Problems.
Holt Geometry 7-5 Using Proportional Relationships Warm Up Convert each measurement ft 3 in. to inches 2. 5 m 38 cm to centimeters Find the perimeter.
6.2 Use Proportions to solve Geometry Problems. Properties of Proportions.
Scale Drawings and Scale Models
7.5(A) Generalize the critical attributes of similarity, including
Applying Properties of Similar Triangles
Objectives Use ratios to make indirect measurements.
Learn to understand ratios and proportions in scale drawings
Similar Polygons.
8.2 Problem Solving in Geometry with Proportions
Bell Ringer.
8.2 Problem Solving in Geometry with Proportions
Maps and scale drawings are:
= Divide each measure by the GCF, 3. drawing length actual length
Use Proportions to Solve Geometry Problems
Section 3 - Using Similar Triangles
A scale drawing is a drawing in which all parts of the drawing are reduced or enlarged by the same scale factor. A scale is a ratio that compares the measurements.
7-5 Vocabulary Indirect measurement Scale drawing scale.
The distance on the map or drawing or the actual distance.
Scale Drawings and Scale Models
ALGEBRA I - SECTION 2-8 (Proportions and Similar Figures)
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.
Unit 4A Geometric Figures Lesson 4 Scale Drawings
HW L10-3 pg 392 #8-14 L10-3 Notes: Scale Drawings and Models
Study Island Homework Due Friday Maintenance Sheet 18
LEARNING GOALS – LESSON 7:2
6.2 Use Proportions to Solve Geometric Problems
Homework- Maintenance Sheet 18 Due Friday- Goformative.com
Presentation transcript:

6.2 USE PROPORTIONS TO SOLVE GEOMETRIC PROBLEMS Goal:You will use proportions to solve geometry problems.

d c b d c + d d

Use properties of proportions Example 1: In the diagram,. Write four true proportions. 1. Since then _________________________ 2. Since then _________________________ 3. Since, then _________________________ 4. Since, then _________________________ x x = = = =

Use proportions with geometric figures In the diagram, Find and On Your Own 2: In the example above. Find AC. AC

A scale drawing is a drawing that is the same shape as the object it represents. The scale is a ratio that describes how the dimensions in the drawing are related to the actual dimensions of the object.

Example 3: The blueprint shows a scale drawing of an “old” cell phone. The length of the antenna on the blueprint is 5 centimeters. The actual length of the antenna is 2 centimeters. What is the scale of the blueprint?

Example 4: The scale of the map at the right is 1 inch: 26 miles. Find the actual distance from Pocahontas to Algona

HOMEWORK p , 16, 17, 22-29