Ratio and Proportion Section 7-1.

Slides:



Advertisements
Similar presentations
Unit 6: Scale Factor and Measurement How will you measure up?
Advertisements

7-1 Ratio and Proportions. Ratio and Proportion The ratio of one number to another is the quotient when the first number is divided by the second. This.
Congruence and Similarity
7-1 Ratios and Proportions. Problem 1: Writing a Ratio The bonsai bald cypress tree is a small version of a full-sized tree. A Florida bald cypress tree.
Special Right Triangles
10.1 Triangles. Acute Triangle Not Acute Triangles.
Find the slope of the line through each pair of points.
6.1 – Ratios, Proportions, and the Geometric Mean Geometry Ms. Rinaldi.
6.1 – Ratios, Proportions, and the Geometric Mean
Bellwork – 1/6/15. Unit 6: Section 6.1 Ratios, Proportions, and the Geometric Mean (Starts on Page 356)
Similar Polygons: Ratio and Proportion. Objectives Find and simplify the ratio of two numbers Use proportions to solve real-life problems.
7-1 Ratio and Proportion Warm Up Lesson Presentation Lesson Quiz
Objectives Write and simplify ratios.
Chapter 7 Section 1.  Students will write ratios and solve proportions.
Ratios and Proportions. Warm Up - Simplify Ratio – comparison of two numbers by division. Proportion – an equation stating that two ratios are equal.
1/29/13. Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve each equation x + 5 x + 6 x =
Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve each equation. 3. 4x + 5x + 6x = 45 4.
Geometry Section 6.1 Ratios, Proportions, and the Geometric Mean.
Similar Triangles Today’s objectives l Understand how the definition of similar polygons applies to triangles. l Recognize similar triangles. l Use the.
{ Section 8.1 Ratio and Proportion OBJECTIVE: To write ratios and solve proportions To write ratios and solve proportions BIG IDEA:Proportionality ESSENTIAL.
Warm-Up Solve each equation for x. 1) 3x = 5 2) 2x – 1 = 10 3) 5x + 3x = 14.
Ratio and Proportion 7-1.
Solve the following proportions. a = 9 b = 7 c = 6 d = 6.
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.
Unit 7 Similarity. Part 1 Ratio / Proportion A ratio is a comparison of two quantities by division. – You can write a ratio of two numbers a and b, where.
1 Objectives To set up ratios and solve proportions To identify similar polygons using ratios.
Section 4-4 p. 170 Goal – to use proportions to solve problems.
“Missed it by that much!”. Unit 7: Similarity (7.1) Ratios and Proportions Obj: Write and solve proportions.
Section 7-1: Ratios and Proportions
Solve the following proportions. a = 9 b = 7 c = 6 d = ±6.
Similar Triangles and Pythagorean Theorem Section 6.4.
7-1 Ratios and Proportions Class Notes and Examples.
 Students will be able to write and solve ratios  Students will be able to write and solve proportions.
 Ratio – a ratio is a quotient of two numbers, or a fraction; a comparison of two quantities by division  It represents the rate at which one thing.
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…
Similar Triangles Triangles that have the same shape but not necessarily the same size. Corresponding angles are congruent. Meaning they have the same.
Section Review Triangle Similarity. Similar Triangles Triangles are similar if (1) their corresponding (matching) angles are congruent (equal)
1. True or false: If the height of a rectangle equals the base of a parallelogram and the base of the rectangle equals the height of the parallelogram,
Bell work  The total number of students out for a fall sport is 204 in our school of 1900 total students. What is the ratio of athletes to total students?
Lesson 6-1 Proportions. Objectives Write ratios Use properties of proportions.
Holt Geometry 7-1 Ratio and Proportion Warm Up Find the slope of the line through each pair of points. 1. (1, 5) and (3, 9) 2. (–6, 4) and (6, –2) Solve.
Ratios and Proportions
CHAPTER 7.1 RATIO AND PROPORTION. RATIO A ratio compares two numbers by division. The ratio of two numbers a and b can be written as a to b; a:b; or a/b,
Find the slope of the line through each pair of points.
Warm-ups - Chapter 5 01/12 page 168 #3-8 all (CE)
A ratio compares two numbers by division
7-2 Similar Polygons.
Ratios, Proportions, & Geometric Mean
Warm Up(On a Separate Sheet)
Area of Triangles.
7-1 and 7-2: Ratio and Proportion Properties.
Area of triangles.
LEARNING GOALS – LESSON 7:1 EXAMPLE 1A: WRITING RATIOS
5 Chapter Chapter 2 Ratio and Proportion.
7-1 Ratios and Proportions
Section 7-1 Ratios and Proportions
Use the substitution method to find all solutions of the system of equations {image} Choose the answer from the following: (10, 2) (2, 10) (5, - 2) ( -
Chapter 7: Proportions and Similarity
Ratio Ratio – a comparison of numbers A ratio can be written 3 ways:
Area of triangles.
Stretching and Shrinking
Unit 6: Ratios: SPI : Solve problems involving ratios, rates, and percents Remember to have paper and pencil ready at the beginning of each.
By, Mrs. Muller Proportions.
Chapter 5: Graphs & Functions
7.2 Ratios and proportions
Section 8.1 Ratio and Proportion
Unit 9. Day 17..
7.1 Ratio and Proportion.
Warm Up Find the slope of the line through each pair of points.
Scale Representation.
Presentation transcript:

Ratio and Proportion Section 7-1

Definitions Ratio – comparison between two quantities 5 to 3 5:3 Proportion – an equation giving two equal ratios 5 3 5 10 = 3 6

Example 1 1.) Ratio of IO to ZD 2.) Ratio of m<I to m<O Z O I D Write the answer to the following. 1.) Ratio of IO to ZD Z O 120˚ 2.) Ratio of m<I to m<O 6b 14 60˚ 70˚ D I

Example 2 A poster is 1m long and 52cm wide. Find the ratio of the width to the length.

Example 3 Two complimentary angles are in the ratio of 4:5. Find the two angles.

Example 4 The measures of the three angles of a triangle are in the ratio of 2:2:5. Find the measure of each angle.