College Algebra Section R.3 Geometry Review Objectives of this Section Use the Pythagorean Theorem and Its Converse Know Geometry Formulas.

Slides:

Advertisements

Similar presentations

The Pythagorean Theorem leg hypotenuse leg Applies to Right Triangles only! The side opposite the right angle The sides creating the right angle are called.

Advertisements

Apply the Pythagorean Theorem Chapter 7.1. Sides of a Right Triangle Hypotenuse – the side of a right triangle opposite the right angle and the longest.

The Pythagorean Theorem. The Right Triangle A right triangle is a triangle that contains one right angle. A right angle is 90 o Right Angle.

Lesson 10.1 The Pythagorean Theorem. The side opposite the right angle is called the hypotenuse. The other two sides are called legs. We use ‘a’ and ‘b’

Quiz-Warm Up! Remember 5 minutes only!

Slide The Pythagorean Theorem and the Distance Formula  Special Right Triangles  Converse of the Pythagorean Theorem  The Distance Formula: An.

4.4: THE PYTHAGOREAN THEOREM AND DISTANCE FORMULA

Geometry Section 9.4 Special Right Triangle Formulas

Bell Ringer Get out your 10.5/10.7 homework assignment and formula sheet Get out your notebook and prepare to take notes on Section 11.2 What do you know.

8-1 The Pythagorean Theorem and Its Converse. Parts of a Right Triangle In a right triangle, the side opposite the right angle is called the hypotenuse.

Lesson 9.4 Geometry’s Most Elegant Theorem Objective: After studying this section, you will be able to use the Pythagorean Theorem and its converse.

Benchmark 40 I can find the missing side of a right triangle using the Pythagorean Theorem.

Section 11.6 Pythagorean Theorem. Pythagorean Theorem: In any right triangle, the square of the length of the hypotenuse equals the sum of the squares.

+ Warm Up B. + Homework page 4 in packet + #10 1. Given 2. Theorem Given 4. Corresponding angles are congruent 5. Reflexive 6. AA Similarity 7.

11-3: The Pythagorean Theorem Pg.546. Objective & Vocabulary 1.Find the length of a side of a right triangle. Hypotenuse (pg.546): in a right triangle,

5 CM 4 CM Calculation Area = Length times Width (lw or l x W) Note Length of a rectangle is always the longest side.

4.7 – Square Roots and The Pythagorean Theorem. SQUARES and SQUARE ROOTS: Consider the area of a 3'x3' square: A = 3 x 3 A = (3) 2 = 9.

Objective The student will be able to:

THE PYTHAGOREAN THEOROM Pythagorean Theorem  What is it and how does it work?  a 2 + b 2 = c 2  What is it and how does it work?  a 2 + b 2 = c 2.

Lesson 9.4 Geometry’s Most Elegant Theorem Objective: After studying this section, you will be able to use the Pythagorean Theorem and its converse.

Perimeter, Area, and Volume Geometry and andMeasurement.

PRISMS. Prisms A prism is a 3-dimensional solid that has congruent ends.

Sullivan Algebra and Trigonometry: Section R.3 Geometry Review Objectives of this Section Use the Pythagorean Theorem and Its Converse Know Geometry Formulas.

Chapter 1: Square Roots and the Pythagorean Theorem Unit Review.

Pre-Algebra HOMEWORK Page 292 #8-15.

The Pythagorean Theorem

Warm Up. 9.4 Geometry’s Most Elegant Theorem Pythagorean Theorem.

Geometry Section 7.2 Use the Converse of the Pythagorean Theorem.

OBJECTIVE I will use the Pythagorean Theorem to find missing sides lengths of a RIGHT triangle.

Geometry Chapter 8 Review. Geometric Mean Find the geometric mean between the two numbers. 7.5 and and 49.

4.7 – Square Roots and The Pythagorean Theorem Day 2.

4.4 Pythagorean Theorem and the Distance Formula Textbook pg 192.

The Pythagorean Theorem Use the Pythagorean Theorem to find the missing measure in a right triangle including those from contextual situations.

Honors Geometry Section 5.5 Special Right Triangle Formulas.

Section 8-3 The Converse of the Pythagorean Theorem.

Surface Area If you remove the surface from a three-dimensional figure and lay it out flat, the pattern you make is called a net. Nets allow you to see.

Geometry 7-6 Circles, Arcs, Circumference and Arc Length.

Geometry 7-5 Areas of Regular Polygons. Review Areas.

Geometry 7-7 Areas of Circles and Sectors. Review.

8 th grade Vocabulary Word, Definition, model Unit 2.

 Right Triangle – A triangle with one right angle.  Hypotenuse – Side opposite the right angle and longest side of a right triangle.  Leg – Either.

The Pythagorean Theorem

Pythagorean Theorem and it’s Converse

The Distance and Midpoint Formulas

Midpoint and Distance in the Coordinate Plane

REVIEW & PRACTICE for the Test

SOL 8.10 Pythagorean Theorem.

GEOMETRY REVIEW.

The Converse of the Pythagorean Theorem

12-2 The Pythagorean Theorem

Section 7.2 Pythagorean Theorem and its Converse Objective: Students will be able to use the Pythagorean Theorem and its Converse. Warm up Theorem 7-4.

7.2 The Pythagorean Theorem and its Converse

Pythagorean Theorem and Distance

Math 3-4: The Pythagorean Theorem

8-2 The Pythagorean Theorem and Its Converse

5-7 The Pythagorean Theorem

5.7: THE PYTHAGOREAN THEOREM (REVIEW) AND DISTANCE FORMULA

7.0: Pythagorean Theorem Objectives:

Pythagorean Theorem a²+ b²=c².

7-1 and 7-2: Apply the Pythagorean Theorem

Right Triangles Unit 4 Vocabulary.

If a triangle is a RIGHT TRIANGLE, then a2 + b2 = c2.

GEOMETRY’S MOST ELEGANT THEOREM Pythagorean Theorem

Chapter 3: Solving Equations

Geometric Mean and the Pythagorean Theorem

The Pythagorean Theorem

In a right triangle, the side opposite the right angle is called the hypotenuse. This side is always the longest side of a right triangle. The other.

Converse to the Pythagorean Theorem

1-6: Midpoint and Distance

7-2 PYTHAGOREAN THEOREM AND ITS CONVERSE

Presentation transcript:

College Algebra Section R.3 Geometry Review Objectives of this Section Use the Pythagorean Theorem and Its Converse Know Geometry Formulas

A right triangle is on that contains a right angle, that is, an angle of 90°. The side opposite the right angle is the hypotenuse. The Pythagorean Theorem In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

Example: The Pythagorean Theorem Show that a triangle whose sides are of lengths 6, 8, and 10 is a right triangle. We square the length of the sides:

Converse of the Pythagorean Theorem In a triangle, if the square of the length of one side equals the sums of the squares of the lengths of the other two sides, then the triangle is a right triangle. The 90 degree angle is opposite the longest side.

For a rectangle of length L and width W: For a triangle with base b and altitude (height) h: Geometry Formulas For a circle of radius r (diameter d = 2r)

Geometry Formulas For a rectangular prism of length L, width W, and height H: For a sphere of radius r: For a right circular cylinder of height h and radius r:

homework Page 32: 1-6 all, 8-42evens