6.2 Use Proportions to solve Geometry Problems. Properties of Proportions.

Slides:

Advertisements

Similar presentations

A shape is ‘scaled’ up or down from a given point known as the ‘centre of enlargement’ (C.E.). Distances from this point to the original shape are changed.

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.

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.

7.1 Ratio and Proportion Geometry Ms. Kelly Slide #1.

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.

Proportions  A proportion is an equation with a ratio on each side. It is a statement that two ratios are equal.  3 = 6 is an example of a proportion.

EXAMPLE 4 Solve proportions SOLUTION a x 16 = Multiply. Divide each side by 10. a x 16 = = 10 x5 16 = 10 x80 = x8 Write original proportion.

EXAMPLE 4 Solve proportions SOLUTION a x 16 = Multiply. Divide each side by 10. a x 16 = = 10 x5 16 = 10 x80 = x8 Write original proportion.

EXAMPLE 2 Using the Cross Products Property = 40.8 m Write original proportion. Cross products property Multiply. 6.8m 6.8 = Divide.

2.5 Solving Proportions Write and use ratios, rates, and unit rates. Write and solve proportions.

Determining Scale Factor We are learning to…use proportional reasoning to solve for missing side lengths of polygons. Wednesday, August 19, 2015.

Objectives: To solve proportions and write ratios.

Find the slope of the line through each pair of points.

6.2 – Use Proportions to Solve Geometry Problems

Geometry with Cosby Missy Cosby Okemos High School Math Instructor.

6.2.1 Use Proportions to solve Geometry Problems.

Algebra I Vocabulary Chapter 2. Equations that have the same solution(s) are called.

Chapter 8 Lesson 1 Objective: To write ratios and solve 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.

3-6 Ratios and Proportions Objective: Students will determine whether two ratios are proportional and solve proportions. S. Calahan 2008.

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?

Similar Experiences Similar Game Plans Similar Characters.

Ratio, Rate, Proportion, and Percent. Ratio  Comparison of two numbers by division  Can be written three different ways 4 to 9 4 :

Ratios & Proportions 7-1 Geometry FRIDAY, Nov. 4.

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.

Welcome to class Please make a new notebook and Begin working on the word search iillLilillililiiiiiilllliiilililillliiillilililiiillllililililillliil.

8.2 Problem Solving in Geometry with Proportions.

Geometry 6-1 Big Idea: Use Ratios & Proportions. A comparison of two numbers Ratio A comparison of two numbers Ex.1) ½, 1:2 Ex.2) 3, 3:4 4.

Course: Geometry pre-IB Quarter: 2nd

RATIOS and PROPORTIONS REVIEW By: Teachers who care!

11.1 Ratios and Proportions Solve proportions. Proportion – equates two ratios extreme mean This proportion is read as “a is to b as c is to d.” You must.

7.2 Similar Polygons. Similar Polygons In geometry, two figures that have the same shape are called similar. Two polygons are similar polygons if corresponding.

Notes Over 11.1 Proportions Vocabulary Proportion - an equation that states that two ratios are equal. Cross Product Property - the product of the extremes.

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.

Algebra 1 Chapter 2 Section : Solving Proportions A ratio is a comparison of two quantities. The ratio of a to b can be written a:b or a/b, where.

Perimeters and Areas of Similar Figures

Problem Solving in geom. w/ proportions. Proportion Properties If then If then.

8 Date: Topic: Similar Triangles __ (7.5) Warm-up: 6 The shapes are similar. Find the similarity ratio, x, and y y 93° x x Similarity ratio =

6.2 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Use Proportions to Solve Geometry Problems.

Monday, November 22 Make sure your name is on Practice 6-2 and it is completed. (If it’s not finished, let me know!) Fill in planner. Today’s homework.

Similar Polygons.

Date: Topic: Similar Polygons (7.4)

8.2 Problem Solving in Geometry with Proportions

7.6 ESSENTIAL QUESTION How do you identify and draw dilations?

8.2 Problem Solving in Geometry with Proportions

8.4 Volume and Areas of Similar Figures

Y. Davis Geometry Notes Chapter 7.

Set up ratios: = = Fill in ratios: Solve the proportion: =

8.2 Problem Solving in Geometry with Proportions

Use Proportions to Solve Geometry Problems

6.2 Proportions.

CHAPTER 7 SIMILAR POLYGONS.

Problem Solving in Geometry with Proportions

Rates, Ratios and Proportions

Chapter 3: Solving Equations

Goal: The learner will use proportions to find measures of objects.

7.2 Similar Polygons Two polygons are similar (~) if and only if their

Problem Solving in Geometry with Proportions

Chapter 8 Similarity.

Chapter 8 Similarity.

Chapter 8 Similarity.

EXAMPLE 4 Solve proportions Solve the proportion. ALGEBRA a x 16

Rates, Ratios and Proportions

Unit 4: Similarity Honors Geometry.

Similar figures & scale drawings

Presentation transcript:

6.2 Use Proportions to solve Geometry Problems

Properties of Proportions

!That last property from the prior slide!

Cross Product

Reciprocal Property

Scale Drawing A scale drawing is a drawing that is the same shape as the object it represents. The scale is the ratio of the drawing to the actual object.

Examples From the given information If we find the cross product 4x = 42 Dividing by 4 we find x = 10.5 This represents BA Please note that DE is smaller than EF. This means that CB must be smaller than BA

Example 12x = 21 X = 1.75 X = 48

Example The original question asks you to determine if the if –then statement is true mn = 72 mn+9m = 72+9m -9m = – 9m mn = 72