Right Triangles and Trigonometry

Slides:



Advertisements
Similar presentations
Honors Geometry Section 8. 5
Advertisements

from the current ‘Kentucky Program of Studies’ High School Skills and Concepts – Systems of Measurement Students will -make decisions about units and.
GOAL 1 PROPORTIONS IN RIGHT TRIANGLES EXAMPLE Similar Right Triangles THEOREM 9.1 If the altitude is drawn to the hypotenuse of a right triangle,
Similar Right Triangles
Section 8-1 Similarity in Right Triangles. Geometric Mean If a, b, and x are positive numbers and Then x is the geometric mean. x and x are the means.
7-4 Similarity in Right Triangles
Section 9.1 Similar Right Triangles OBJECTIVE: To find and use relationships in similar right triangles BIG IDEAS: REASONING AND PROOF VISUALIZATIONPROPORTIONALITY.
2.6 Formulas A literal equation – an equation involving two or more variables. Formulas are special types of literal equations. To transform a literal.
9.1 (old geometry book) Similar Triangles
Target: Use proportions to solve problems involving similar figures.
Similar Right Triangles
6.1.1 RATIOS, PROPORTIONS, AND THE GEOMETRIC MEAN Chapter 6: Similarity.
Section 8-1: Geometric Mean When the means of a proportion are the same number, that number is called the geometric mean of the extremes.
7.3 Similar Right Triangles Geometry. Objective(s)  Students will understand geometric concepts and use properties of the altitude of a right triangle.
Chapter 9: Lesson 4: Solving Percent Problems with Proportions
Chapter 10: Lesson 4: Solving Percent Problems with Proportions
9.3 Similar Right Triangles. Do Now: Draw the altitude and describe what it is.
9.1 Similar Right Triangles Geometry. Objectives  Solve problems involving similar right triangles formed by the altitude drawn to the hypotenuse of.
Chapter 9: Right Triangles and Trigonometry Section 9.1: Similar Right Triangles.
Chapter 9: Right Triangles and Trigonometry Lesson 9.1: Similar Right Triangles.
7-1: Geometric Mean. Geometric Mean Given two numbers a and b, you can find the geometric mean by solving the proportion: The geometric mean of two numbers.
Key Learning  Solve problems involving similar right triangles formed by the altitude drawn to the hypotenuse of a right triangle.  Use a geometric mean.
9.1 Similar Right Triangles Geometry Mrs. Blanco.
9.1 Similar Right Triangles
9.1 Similar Right Triangles
Provided by Dawn Williams WCMS
Right Triangles and Trigonometry
9.1 Similar Right Triangles
عناصر المثلثات المتشابهة Parts of Similar Triangles
9.1 Similar Right Triangles
Similar Figures Chapter 5.
Trigonometry Chapter 15.
X = 3 y = 6 r = 3 y = 20.
Chapter 4 Section 1.
Chapter 9 Right Triangles and Trigonometry
Chapter 7.3 Notes: Use Similar Right Triangles
Chapter 9 Right Triangles and Trigonometry
EXAMPLE 1 Identify similar triangles
Similar Triangles Applied
Section 5.3A: Similar Triangles
7.3 Use Similar Right Triangles
Proportions and Scale Factors
EXAMPLE 1 Identify similar triangles
Chapter 3: Solving Equations
9.1 Similar Right Triangles
Similar Right Triangles
Using Similar Figures Chapter 5 Section 5.5.
9.1 Similar Right Triangles
Solving Percent Problems Using Proportions
Surface Area and Volume
Chapter 8 Similarity.
Similar Figures The Big and Small of it.
Chapter 8 Similarity.
Similar Right Triangles
Chapter 8 Similarity.
Right Triangles and Trigonometry
Right Triangles and Trigonometry
Chapter 8 Polygons and Area.
Chapter 8 Similarity.
Chapter 7 Transformations.
Chapter 8 Polygons and Area.
Chapter 6 Quadrilaterals.
Right Triangles and Trigonometry
Chapter 8 Polygons and Area.
Right Triangles and Trigonometry
Right Triangles and Trigonometry
Chapter 8 Polygons and Area.
Right Triangles and Trigonometry
Triangle Relationships
Chapter 8 Similarity.
Presentation transcript:

Right Triangles and Trigonometry Chapter 9 Right Triangles and Trigonometry

Section 1 Similar Right Triangles

GOAL 1: Proportions in Right Triangles

Example 1: Finding the Height of a Roof A roof has a cross section that is a right triangle. The diagram shows the approximate dimensions of this cross section. 1) Identify the similar triangles. 2) Find the height h of the roof.

GOAL 2: Using a Geometric Mean to Solve Problems

Example 2: Using a Geometric Mean Find the value of each variable.

Example 3: Using Indirect Measurement

EXIT SLIP