Over Lesson 7–3 Determine whether the triangles are similar. Justify your answer. Determine whether the triangles are similar. Justify your answer. Determine.

Slides:

Advertisements

Similar presentations

Introduction Design, architecture, carpentry, surveillance, and many other fields rely on an understanding of the properties of similar triangles. Being.

Advertisements

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.

7-3 Proving Triangles Similar

Today – Wednesday, February 6, 2013  Review 6.3 Worksheet Problems  Learning Target 1: Use Angle-Angle Similarity Theorem to prove two triangles are.

Divide each side by 2. Write original equation. Write 3x + 2y = 8 so that y is a function of x. EXAMPLE 2 Rewrite an equation Subtract 3x from each side.

EXAMPLE 4 Find perimeters of similar figures Swimming

Thursday, January 10, 2013 A B C D H Y P E. Homework Check.

8-6 The Law of Sines and Law of Cosines

Lesson 6-4 Example Example 3 Determine if the triangle is a right triangle using Pythagorean Theorem. 1.Determine which side is the largest.

Objective Students will solve proportions Chapter 8, lesson 2 (8-2).

Ratio and Proportion 7-1.

Geometric and Arithmetic Means

Solving Percent Problems Using Proportions

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 7–3) CCSS Then/Now New Vocabulary Theorem 7.5: Triangle Proportionality Theorem Example 1: Find.

Chapter 7 Quiz Review Lessons

Bell Ringer. Proportions and Similar Triangles Example 1 Find Segment Lengths Find the value of x. 4 8 x 12 = Substitute 4 for CD, 8 for DB, x for CE,

6.3 Similar Triangles.

Angle-Angle (AA) Similarity Postulate If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

TODAY IN GEOMETRY…  Warm Up: Simplifying Radicals  Learning Target : Review for Ch. 6 Quiz  CHAPTER 6 QUIZ TODAY!  All Chapter 6 Assignments Due TODAY!

6.6 – Use Proportionality Theorems. Triangle Proportionality Theorem If a line parallel to one side of a triangle intersects the other two sides, then.

TODAY IN GEOMETRY…  Learning Target: 6.6 You will calculate missing sides of triangles using proportionality with parallel lines  Independent Practice.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 8–2) Then/Now Theorem 8.8: 45°-45°-90° Triangle Theorem Example 1:Find the Hypotenuse Length.

Over Lesson 7–3 Complete the proportion. Suppose DE=15, find x. Suppose DE=15, find EG. Find the value of y. FE Ch 9.5  D F G E H x 28 DG =

Example 2 Hair Growth Human hair grows about 0.7 centimeter in 2 weeks. How long does hair take to grow 14 centimeters? Writing and Solving a Proportion.

WARM UP 1) ABCD is a parallelogram. Find the measures of x and y.

Triangle Similarity Advanced Geometry Similarity Lesson 3.

Special Right Triangles Lesson 7-3: Special Right Triangles1.

Splash Screen. Then/Now You used trigonometric ratios to solve right triangles. Use the Law of Sines to solve triangles. Use the Law of Cosines to solve.

Warm Up For Exercises 1 and 2, find the value of x. Give your answer in simplest radical form Simplify expression. 3.

Similarity Postulates

6.3 Solving Proportions Using Cross Products

Similar Triangles.

7.3 Similar Triangles.

6-3: Law of Cosines

Introduction Design, architecture, carpentry, surveillance, and many other fields rely on an understanding of the properties of similar triangles. Being.

Lesson 8-2: Special Right Triangles

9-2 Pythagorean Theorem.

PARALLEL LINES AND PROPORTIONAL PARTS

Test study Guide/Breakdown

Use the Triangle Bisector Theorem.

Introduction There are many ways to show that two triangles are similar, just as there are many ways to show that two triangles are congruent. The Angle-Angle.

Ratio Ratio – a comparison of numbers A ratio can be written 3 ways:

Proving Triangles Similar.

Solving Percent Problems Using Proportions

Section 5.3A: Similar Triangles

Ch 9.7 Perimeters and Similarity

Special Right Triangles

Standardized Test Practice

Parts of Similar Triangles

Proving Triangles Similar.

6-3/6-4: Proving Triangles Similar

Parts of Similar Triangles

Special Right Triangles

Special Right Triangles

7.3 Similar Triangles.

Introduction There are many ways to show that two triangles are similar, just as there are many ways to show that two triangles are congruent. The Angle-Angle.

Determine whether the triangles are similar. Justify your answer.

Five-Minute Check (over Lesson 7–3) Mathematical Practices Then/Now

Five-Minute Check (over Lesson 8–2) Mathematical Practices Then/Now

Warm-Up Solve each proportion. 1) 2)

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

Module 16: Lesson 4 AA Similarity of Triangles

Presentation transcript:

Over Lesson 7–3 Determine whether the triangles are similar. Justify your answer. Determine whether the triangles are similar. Justify your answer. Determine whether the triangles are similar. Justify your answer. Find the width of the river in the diagram. yes, AA Similarity No, sides are not proportional yes, SSS Similarity 22.4 Ch 9.4

Ch 9.4 Proportional Parts Standard 12.0 Students find and use measures of sides of triangles to solve problems. Learning Target: I will be able to identify and use the relationships between proportional parts of triangles. Ch 9.4

Concept Ch 9.4 Theorem 9-5

Example 1 Find the Length of a Side Ch 9.4

Example 1 Find the Length of a Side Substitute the known measures. Cross Products Property Multiply. Divide each side by 8. Simplify. Ch 9.4

Example 1 A.2.29 B C.12 D Ch 9.4

Find the Length of a Side Example 2

Ch 9.4 A.3.5 B.4 C.6 D.7.25 Example 2