“YOU CAN’T HANDLE THE TRUTH!”

Slides:

Advertisements

Similar presentations

What we do in life echoes in eternity Similarity in Right Triangles LT: To find and use relationships of similar right triangles.

Advertisements

Honors Geometry Section 8. 5

Over Lesson 7–4 5-Minute Check 4 If AB = 4, BC = 7, ED = 5, and EC = 13.75, determine whether BD || AE. ___ In the diagram, 1 st Street is parallel to.

9.1 Similar Right Triangles. Theorem If an altitude is drawn to the hypotenuse of a Right triangle, then it makes similar triangles to the original Right.

Lesson 6-6 The Pythagorean Theorem. Ohio Content Standards:

Objectives Use geometric mean to find segment lengths in right triangles. Apply similarity relationships in right triangles to solve problems.

Similarity in Right Triangles Students will be able to find segment lengths in right triangles, and to apply similarity relationships in right triangles.

Objectives Use geometric mean to find segment lengths in right triangles. Apply similarity relationships in right triangles to solve problems.

Section 7.4 Similarity in Right Triangles. Geometric Mean The positive number of x such that ═

Do investigation on page 439.

Geometry 8.1 Right Triangles.

7-4 Similarity in Right Triangles

9.1 Notes Geometric Mean. 9.1 Notes Arithmetic mean is another term that means the same thing as average. The second do now question could have been,

Geometric and Arithmetic Means

Similar Right Triangle Theorems Theorem 8.17 – If the altitude is drawn to the hypotenuse if a right triangle, then the two triangles formed are similar.

To find the geometric mean between 2 numbers

Bellwork 1)Are the triangles similar? 2)Find x 80° 70° 80° 30° x.

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.

9.4 Special Right Triangles

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 7–4) CCSS Then/Now Theorems: Special Segments of Similar Triangles Proof: Theorem 7.8 Example.

“What we do in life echoes in eternity.”. 7.4 Similarity in Right Triangles.

“What we do in life echoes in eternity.”. 7.4 Similarity in Right Triangles.

Geometry, Quarter 2, Unit 2.3 Proving Theorems About Parallelograms Days: 11.

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.

Corresponding Parts of Similar Triangles

Warm-up Solve for x x x-3 4 x+6 x+1 x

Geometry Unless you try to do something beyond what you have already mastered, you will never grow. Ralph Waldo Emerson Today: Chapter 2 Check 3.1 Instruction.

Right Triangles and Trigonometry

A cat is stuck in a tree and firefighters try to rescue it

Use the ASA Postulate to test for congruence.

8-1 Vocabulary Geometric mean.

Pearson Unit 3 Topic 9: Similarity 9-4: Similarity in Right Triangles Pearson Texas Geometry ©2016 Holt Geometry Texas ©2007.

Similar Right Triangles

Chapter 7 Lesson 5: Parts of Similar Triangles

Parts of Similar Triangles

LESSON 8–1 Geometric Mean.

7.4 Similarity in Right Triangles

7.3 Use Similar Right Triangles

Problem of the Day.

Corresponding Parts of Similar Triangles

Igor noticed on a map that the triangle whose vertices are the supermarket, the library, and the post office (△SLP) is congruent to the triangle whose.

Bellwork: 2/12/18 (Block 3) Use the look for a pattern strategy to solve Exercises 1–3. 1. In a stadium, there are 10 seats in the 1st row, 13 seats in.

Name the transversal that forms each pair of angles

Similar Triangles OBJECTIVES: To use the

Five-Minute Check (over Lesson 4–1) Mathematical Practices Then/Now

Using Similar Right Triangles

Five-Minute Check (over Lesson 7–5) Mathematical Practices Then/Now

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

Find the value of the variable and the measure of each angle.

Five-Minute Check (over Chapter 7) Mathematical Practices Then/Now

Advanced Geometry Section 3.8 The HL Postulate

Five-Minute Check (over Lesson 7–2) Mathematical Practices Then/Now

Presentation transcript:

“YOU CAN’T HANDLE THE TRUTH!”

“A Few Good Men”

8-1 Similarity in Right Triangles HONORS GEOMETRY

CCSS Content Standards G.SRT.4 Prove theorems about triangles. G.SRT.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. Mathematical Practices 7 Look for and make use of structure. 3 Construct viable arguments and critique the reasoning of others.

Then/Now You used proportional relationships of corresponding angle bisectors, altitudes, and medians of similar triangles. Find the geometric mean between two numbers. Solve problems involving relationships between parts of a right triangle and the altitude to its hypotenuse.

8-1 Similarity in Right Triangles Arithmetic mean is commonly referred to as "average" or simply as "mean" How do we find the arithmetic mean of 3 and 27?

8-1 Similarity in Right Triangles GEOMETRIC MEAN – The Geometric Mean is a special type of average where we multiply the numbers together and then take a square root. Note: The number x such that where a, b, and x are positive numbers. Ex 1: Find the geometric mean of a.) 4 and 7 b.) 5 and 25

h is the geometric mean between x and y P P N O M O N N M h is the geometric mean between x and y b is the geometric mean between y and c a is the geometric mean between x and c

8-1 Similarity in Right Triangles Find e to the nearest tenth. A. 13.9 B. 24 C. 17.9 D. 11.3

8-1 Similarity in Right Triangles Use Geometric Mean with Right Triangles Find c, d, and e.

Ex 3: Find x. Ex 4: Find x. x x 3 5 5 7

Ex 5: Find x. Ex 6: Find x & y. x 3 y 2 6 x 5

Real World Connection As Marla arrives at the lake from the parking lot, she reads a sign that says she is 320m from the dock. How far is Marla from the information center?

Ex 7: Find x, y & z. Ex 8: Find x, y & z. 3 z y x y z 1 4 x

“Do you like apples. Well I got her number, how do ya like them apples

“In the end you will remember NOT the words of your enemies but the SILENCE of your friends”

HOMEWORK Pgs. 541-543 #’S 8-14, 18-30 ALL, 35-37