Table of Contentsp. 1 p. 3 - 5Perfect Squares and Square Roots p. 6 Review Perfect Squares p. 7 – 8Label and Identify Right Triangles p. 9Label and Identify.

Slides:



Advertisements
Similar presentations
The Pythagorean Theorem c a b.
Advertisements

Jeopardy Review Find the Missing Leg / Hypotenuse Pythagorean Theorem Converse Distance Between 2 Points Everybody’s Favorite Similar T riangles Q $100.
Quiz Review 7.1,7.2, and 7.4.
The Pythagorean Theorem and its Converse
Pythagorean Theorem Notes Absent Copy 5/19. Pythagorean Theorem a 2 + b 2 = c 2 Leg + Leg = Hypotenuse (longest side) Leg called A or B Leg called C or.
Write down this problem on your COMMUNICATOR Be prepared to share your work with the class. Page ? of your INB review and prepare for the test. Greg needs.
Exercise Solve x 2 = 4. x = ± 2. Solve x 2 = – 4. no real solution Exercise.
Pythagorean Theorem Please view this tutorial and answer the follow-up questions on loose leaf to turn in to your teacher.
Pythagorean Theorem Unit
Keystone Geometry 1 The Pythagorean Theorem. Used to solve for the missing piece of a right triangle. Only works for a right triangle. Given any right.
The Pythagorean Relationship
Assignment P : 1-17, even, 28-31, Challenge Problems.
The Pythagorean Theorem. 8/18/20152 The Pythagorean Theorem “For any right triangle, the sum of the areas of the two small squares is equal to the area.
11.2 Pythagorean Theorem. Applies to Right Triangles Only! leg Leg a hypotenuse c Leg b.
Pythagorean Theorem.
Special Right Triangles EQ: How do you use the properties of special right triangles in real world applications? M2 Unit 2: Day 2.
Aim: How do we find the lengths of the sides in a right triangle? Do Now 1. Solve 2(x + 5) = Find the measure of the missing angle? 48 o 17 o 100.
The Pythagorean Theorem
Pythagorean Theorem A triangle is a right triangle if and only if the sum of the squares of the lengths of the legs equals the square of the length of.
Pythagorean Theorem Use the Pythagorean Theorem to find the missing length of the right triangle. 1.
Geometry Notes Lesson 5.1B Pythagorean Theorem T.2.G.4 Apply the Pythagorean Theorem and its converse in solving practical problems.
Right Triangles And the Pythagorean Theorem. Legs of a Right Triangle Leg -the two sides of a right triangle that form the right angle Leg.
Pythagorean Theorem Two sides of a right triangle measure 6 feet and 8 feet. What is the length of the hypotenuse?
WARM UP Pass out progress reports! Get a Calendar from the front!
Square Roots and the Pythagoren Theorm
Apply the Pythagorean Theorem
A b c. Pythagorean Theorem Essential Questions a 2 + b 2 = c 2 The Pythagorean Theorem a 2 + b 2 = c 2 “For any right triangle, the sum of the areas.
Step 1: Square Longest side Step 2: Add Step 3: Square Root Step 1: Square Shorter side Step 2: Subtract Step 3: Square Root 7cm 9cm x 4cm 8cm x 12cm 7cm.
1 The Pythagorean Theorem. 2 A B C Given any right triangle, A 2 + B 2 = C 2.
1. Solve x2 = 100. ANSWER 10, –10 2. Solve x2 + 9 = 25. ANSWER 4, –4
Jeopardy Pythag. Thm. Pythag. Thm. Apps Simplifying Radicals Inequalities Family Tree Of Numbers Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300.
PSSA Jeopardy Probability Combination Linear equations Perimeter and Area Pythagorean Theorem $100 $200 $300 $400.
 On your graph paper, do the following:  Draw a triangle with the following sides:  Leg 1 = 3 units (squares)  Leg 2 = 4 units (squares)  Draw the.
Quadratic Equations and Problem Solving. The square of a number minus twice the number is sixty three.
11.2 Pythagorean Theorem. Applies to Right Triangles Only! leg Leg a hypotenuse c Leg b.
Objective - To find missing sides of right triangles using the Pythagorean Theorem. Applies to Right Triangles Only! hypotenuse c leg a b leg.
How can you find the height of the building in the diagram below? 24 ft 7 ft x ft.
8.2 Pythagorean Theorem and Its Converse Then: You used the Pythagorean Theorem to develop the Distance Formula. Now: 1. Use the Pythagorean Theorem. 2.
The Pythagorean Theorem The Ladder Problem. Right Triangles Longest side is the hypotenuse, side c (opposite the 90 o angle) The other two sides are the.
Geometry 7-2a Pythagorean Theorem. New Material Investigation Supplies –Handout ( one of two ) –Scissors –Compass –Ruler.
AGENDA LOGIC PUZZLE LESSON 83 CORRECTIONS? WARM-UP L84 QUESTIONS LESSON 85 EXIT CARD.
Chapter 7 Right Triangles and Trigonometry Objectives: Use calculator to find trigonometric ratios Solve for missing parts of right triangles.
1-5 Using the Pythagorean Theorem. Video Tutor Help Find a side Brain Pop The Pythagorean Theorem Using the Pythagorean Theorem to find the legUsing the.
Geometry Section 7.1 Apply the Pythagorean Theorem.
1. Solve x2 = 100. ANSWER 10, –10 2. Solve x2 + 9 = 25. ANSWER 4, –4
Pythagorean Theorem Geometry 7-2a.
SOL 8.10 Pythagorean Theorem.
11.2 Pythagorean Theorem.
Pythagorean Theorem Geometry 7-2a.
The Pythagorean Theorem
Pythagorean Theorem Objective
Pythagorean Theorem Converse
a2 + b2 = c2 Pythagorean Theorem c c b b a a
Objective - To find missing sides of right triangles using the Pythagorean Theorem. Applies to Right Triangles Only! hypotenuse c leg a b leg.
Unit 5: Pythagorean Theorem
The Pythagorean Theorem
15.6 – Radical Equations and Problem Solving
The Pythagorean Theorem
Bellringer 8/31/17.
7.1 Apply the Pythagorean theorem.
Chapter 5 Section 7 Polynomial Equations and Their Applications.
Special Right Triangles
Warm Up You need to tie up a volleyball net with poles that are 10 feet off the ground. To meet safety code, the stakes must be 7 feet from the net and.
Solve for the unknown side or angle x
1. Solve x2 = 100. ANSWER 10, –10 2. Solve x2 + 9 = 25. ANSWER 4, –4
Pythagorean Theorem OR.
Even ANSWERS TO HOMEWORK
Bellwork Find the measure of angle Find the measure of angle B.
Pythagorean Theorem & Its Converse
Presentation transcript:

Table of Contentsp. 1 p Perfect Squares and Square Roots p. 6 Review Perfect Squares p. 7 – 8Label and Identify Right Triangles p. 9Label and Identify Right Triangle Quiz p Verifying a Right Triangle using the Pythagorean Theorem

 P. 13 – 14 Measuring Right Triangles  P. 15 – 16Finding the missing side of a right triangle  P. 17 – 18Practice Problems p. 484 – 4, 6, and 8 p. 485 – 12, 14, 18 and 19  P. 19 – 24Real Life Pythagorean Theorem  Inside back History of Pythagorean Theorem cover

 Definition of Perfect squares  List the perfect squares from 1 to 400

 Examples: Finding square roots 1. √36 =2. - √64 3. √44. √50 25

 p. 472, 8 – 26 even only (in book) – (on p. 5 in Pyth. Th. Book)

 P. 121 – 122 odd only (workbook)

You will be making different study aides to help you review and then study your perfect squares, 1 – 400. These study aides will count as a class grade.  Dot paper  Flash cards  Flip review  Multiplication Facts (1 x 1 = 1)  Writing as squares

 Which of the following numbers are perfect squares?

 Describe a right triangle.  Define Hypotenuse – Leg –  Draw a right triangle and label the legs and the hypotenuse.

 Draw 3 more right triangles turned different ways. Label the legs and hypotenuse on each.

 Quiz will be glued on this page

 What does the Pythagorean Theorem verify?  What is the equation for the Pythagorean Theorem? What do each of the letters represent?

4 5 3 Do these three measurements verify that this is a right triangle?

Verify if the three measurements form a right triangle. A) 6, 8, and 10 B) 3, 4, and 8

 Larger Triangle

 Smaller triangle

Find the missing length (side) of the right triangle. c) d) 6 8 c 5 b 12

E F G 5 in 11 in. What is the length of EG?

Text book  P. 484 – 4, 6, 8  P. 485 – 12, 14, 18, 19

 A 20 foot phone pole needs a new support wire. The wire should be attached to the ground 6 feet from the bottom of the pole. Find the length of the wire. *First draw a picture to get a visual of what you are finding. *Then label the different measures of the picture. *Finally apply the Pythagorean theorem to the picture to solve for the missing side.

 Find the length of the diagonal of a rectangle whose length is 8m and whose width is 5 meters. *First draw a picture to get a visual of what you are finding. *Then label the different measures of the picture. *Finally apply the Pythagorean theorem to the picture to solve for the missing side.

 You are setting up a volleyball net using two 8 foot poles to hold up the net. You are going to attach each pole to a stake in the ground using a piece of rope. Each stake should be 4 feet from the pole. Assume that the ropes are stretched tight. How long should each rope be?

 A 13 foot step ladder is leaning up against a building. The bottom of the ladder is 5 feet from the building. How high up does the ladder meet the wall?

 A kicker is about to attempt a field goal in a football game. The distance from the football to the goal post is 120 feet. The crossbar of the goal post is 10 feet above the ground. Find the distance between the football and the crossbar.

 An isosceles right triangle has a hypotenuse length of 6 feet. Find the length of each leg.

 Back cover – answers to 10 questions

 1 – Clean hands  2 – Get supplies 1 piece of construction paper scissors glue stick white color pencil ruler notebook paper  3 - Cut the fruit roll-up in 3 pieces. Do not take fruit roll-up off of its paper.  4 – Form a triangle with the pieces and glue the triangle to a piece of construction paper.

 5 – Measure the 3 sides (in cm) and label the right triangle. (Round your measurements to the nearest whole number.) Label the “legs” and “hypotenuse” as well.  6 –Does the three sides form a right triangle or not? Show your work. Explain why or why not. (on notebook paper)  7 – Be sure to put your name on the construction paper. Glue the rubric to your paper.  8 – Clean up your work and pull your fruit roll- up off and enjoy.