Warm Up.

Slides:



Advertisements
Similar presentations
8-1 Similarity in Right Triangles
Advertisements

4.4 – Prove Triangles Congruent by SAS and HL Consider a relationship involving two sides, and the angle they form, their included angle. Any time you.
4.4 – Prove Triangles Congruent by SAS and HL Consider a relationship involving two sides, and the angle they form, their included angle. Any time you.
Today – Monday, March 4, 2013  Warm Up: Which method to use to solve missing angles or sides of a right triangle  Review: Using inverse trig to find.
Geometric Mean Theorem I
TODAY IN GEOMETRY… Warm Up: Simplifying Radicals
TODAY IN GEOMETRY…  Practice: Solving missing sides using the Pythagorean Theorem  Learning Target 1: Use the Converse of the Pythagorean Theorem determine.
TODAY IN ALGEBRA 2.0…  Review: Pythagorean Theorem  Learning Target: Find all six trigonometric functions.  Independent Practice.
EXAMPLE 1 Find the length of a hypotenuse SOLUTION Find the length of the hypotenuse of the right triangle. (hypotenuse) 2 = (leg) 2 + (leg) 2 Pythagorean.
EXAMPLE 1 Find the length of a hypotenuse SOLUTION Find the length of the hypotenuse of the right triangle. (hypotenuse) 2 = (leg) 2 + (leg) 2 Pythagorean.
TODAY IN GEOMETRY…  Review: Pythagorean Theorem and Perimeter  Learning Target: 11.1 You will find areas of triangles and parallelograms.  Independent.
MM2G1. Students will identify and use special right triangles.
7.4 Similarity in Right Triangles
Section 7.4 Similarity in Right Triangles. Geometric Mean The positive number of x such that ═
7.4 Similarity in Right Triangles In this lesson we will learn the relationship between different parts of a right triangle that has an altitude drawn.
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.
Geometry 8.1 Right Triangles.
7.4 Similarity in Right Triangles
Chapter 7.4.  The altitude is the Geometric Mean of the Segments of the Hypotenuse.
OBJECTIVES: 1) TO FIND AND USE RELATIONSHIPS IN SIMILAR RIGHT TRIANGLES. PDN: PG.439 #2-8 EVENS 8-4 Similarity in Right Triangles M11.C A.
9.1 (old geometry book) Similar Triangles
Warm Up Week 7. Section 9.1 Day 1 I will solve problems involving similar right triangles. Right Triangle – Altitude to Hypotenuse If the altitude.
Chapter 8 Lesson 4 Objective: To find and use relationships in similar right triangles.
To find the geometric mean between 2 numbers
8.2 Special Right Triangles
Section 5.1 Midsegment Theorem and Coordinate Proof.
Special Right Triangles EQ: How do you find the missing side lengths in special right triangles? M2 Unit 2: Day 1.
Similarity in Right Triangles 7-4. Warmup activity (don’t need to turn in) Complete activity on p. 391 with a partner.
Pythagorean Theorem Converse Special Triangles. Pythagorean Theorem What do you remember? Right Triangles Hypotenuse – longest side Legs – two shorter.
Use Similar Right Triangles
8-2 Special Right Triangles Objective: To use the properties of and triangles.
Similar Right triangles Section 8.1. Geometric Mean The geometric mean of two numbers a and b is the positive number such that a / x = x / b, or:
Fill in the blanks: 1. Complementary angles add to ________ degrees. 2.2 angles that share a common side (ray) are said to be ______________. 3.Every quadrilateral.
NOTES GEOMETRIC MEAN / SIMILARITY IN RIGHT TRIANGLES I can use relationships in similar right triangles.
7.4 Notes Similarity in Right Triangles. Warm-up:
Section 7-4 Similarity in Right Triangles. Hands-On Activity Take a piece of paper and cut out a right triangle. Use the edge of the paper for the right.
Warm Up For Exercises 1 and 2, find the value of x. Give your answer in simplest radical form Simplify expression. 3.
Warm-Up If a triangle has two side lengths of 12 and 5, what is the range of possible values for the third side? 2.
triangle.
Geometry Warm ups Simplify each radical to simplest radical form.
Warm up Find the midpoint of segment AB A(0,0) B(6,4)
Warm Up: Find the length of ST
8-2 Special Right triangles
Warm Up.
Selected Answers from Homework
Warm Up Which can you use to prove congruence: SSS, SAS, ASA, or AAS?
8-2 Special Right Triangles
7.4 Special Right Triangles
8-1 Vocabulary Geometric mean.
4.3 The Rectangle, Square and Rhombus The Rectangle
8-3 Special Right Triangles
8-1: Similarity in Right Triangles
7-3 Special Right Triangles
Chapter 7.3 Notes: Use Similar Right Triangles
4.3 The Rectangle, Square and Rhombus The Rectangle
7.3 Use Similar Right Triangles
Unit 5: Geometric and Algebraic Connections
Objective: To use the properties of 30°-60°-90° triangle.
Objective: To use the properties of 45°-45°-90° triangles.
Review of Triangle Congruence Figures and PROOFS
Homework Week of January 7th UNIT TEST TODAY! Monday Tuesday Wednesday
Similar Right Triangles
Lesson 8 – 3 Special Right Triangles
Special Right Triangles
Similarity in Right Triangles
Using Similar Right Triangles
Right Triangle Bingo.
Warm Up April 1st What is the hypotenuse if the leg lengths are a = 72 and b = 30? Simplify 72.
7-3 Special Right Triangles
Similarity in Right Triangles
Presentation transcript:

Warm Up

Announcements Warm Ups Due Tomorrow HW Due Friday Test Monday 9 Weeks Quiz Tuesday

Geometric Mean For any two positive numbers a and b, the geometric mean of a and b is the positive number x such that a/x=x/b

Example 1 What is the Geometric Mean of 6 and 15?

Geometric Mean

Example 2 What is the value of x? Write your answer in simplest radical form.

Corollary 2 to Theorem 9-3 the length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to the leg.

Example 3 What is the value of x?

Homework Pg. 155-156 #1, 4-7, 9-11 Congruent Triangles WS Triangle Proofs WS Pg. 172 #1-4, 6-8, 11-14 Pg. 403 #4-10, 26-29