Warm up Find the distance between the points (1,4), and (-2, 3). 2. Find the distance the ball was kicked in the diagram (40,45) 50 (10,5) (0,0)

Slides:



Advertisements
Similar presentations
1. 6 Circles (Part 1) 1. Circle Notes
Advertisements

Section 10 – 1 Use Properties of Tangents. Vocabulary Circle – A set of all points that are equidistant from a given point called the center of the circle.
Chapter 5 Properties of Triangles Perpendicular and Angle Bisectors Sec 5.1 Goal: To use properties of perpendicular bisectors and angle bisectors.
Introduction A theorem is statement that is shown to be true. Some important theorems have names, such as the Pythagorean Theorem, but many theorems do.
6.1 Use Properties of Tangents
10.7 Write and Graph Equations of Circles Hubarth Geometry.
4.4b: Equations of a Circle p
GeometryGeometry Lesson 75 Writing the Equation of Circles.
1-7: Midpoint and Distance in the Coordinate Plane
(x 1, y 1 ) (x 2, y 2 (x 1, y 1 ) (x 2, y 2 ) |x 1 – x 2 | |y 1 – y 2 | d.
Midpoint and Distance Formulas Goal 1 Find the Midpoint of a Segment Goal 2 Find the Distance Between Two Points on a Coordinate Plane 12.6.
Chapter 10.1 Notes: Use Properties of Tangents Goal: You will use properties of a tangent to a circle.
Warm – up Session 48. EOCT Review Homework Review.
Chapter 10 Circles Section 10.1 Goal – To identify lines and segments related to circles To use properties of a tangent to a circle.
Warm-up Write the following formulas 1.Distance 2.Midpoint What is the Pythagorean Theorem?
Which Point is Closest to the Origin?? Day 91 Learning Target : Students can determine which of 2 points is closer to the origin.
Warm up r = -3 k = -3 x = – 6r = 2r k – 5 = 7k + 7
Section 9-3 Circles Objectives I can write equations of circles I can graph circles with certain properties I can Complete the Square to get into Standard.
3.4 Circular Functions. x 2 + y 2 = 1 is a circle centered at the origin with radius 1 call it “The Unit Circle” (1, 0) Ex 1) For the radian measure,
The Distance and Midpoint Formulas Unit 8. Warm – Up!! As you walk in, please pick up your calculator and begin working on your warm – up!! 1. Use the.
13.1 The Distance and Midpoint Formulas. Review of Graphs.
12.4 The Distance Formula Objectives: Use the distance formula to find the distance between 2 points in a coordinate plane. Determine whether a triangle.
1. Factor 2. Factor 3.What would the value of c that makes a perfect square. Then write as a perfect square. M3U8D3 Warm Up (x+4) 2 (x-7) 2 c = 36 (x+6)
Warm-Up Find the distance and the midpoint. 1. (0, 3) and (3, 4)
Pre-Calculus Coordinate System. Formulas  Copy the following formulas into your notes. –Distance Formula for Coordinate Plane –Midpoint Formula for Coordinate.
Area & Perimeter on the Coordinate Plane
8.1 The Rectangular Coordinate System and Circles Part 2: Circles.
We will only look at Circles and Parabolas this year.
GeometryGeometry Equations of Circles. GeometryGeometry Finding Equations of Circles You can write an equation of a circle in a coordinate plane if you.
Chapter 10.7 Notes: Write and Graph Equations of Circles
GeometryGeometry Lesson 6.1 Chord Properties. Geometry Geometry Angles in a Circle In a plane, an angle whose vertex is the center of a circle is a central.
Geometry, Quarter 2, Unit 2.3 Proving Theorems About Parallelograms Days: 11.
Warm Up Find the slope of the line that connects each pair of points. – (5, 7) and (–1, 6) 2. (3, –4) and (–4, 3)
Objective: Writing and graphing equation of circles. Warm up 1.Find the area of the shaded sector.
8.1 The Rectangular Coordinate System and Circles Part 2: Circles.
9.3 - Circles Objectives: Write an equation for a circle given sufficient information. Given an equation of a circle, graph it and label the radius and.
Beat the Computer Drill Equation of Circle
TODAY IN GEOMETRY… Stats on Ch. 8 Test
Unit Circle.
Week 5 Warm Up ) Solve for x and y: xº 44º yº
1-7: Midpoint and Distance in the Coordinate Plane
All about circle.
Unit 4.4 Deriving the Equation of a Circle and Proving that all Circles are Similar Instructional Days: 9.
Warm up Find the distance between the points (1,4), and (-2, 3).
7.2 Use the Converse of the Pythagorean Theorem
11.1; chord 22. tangent 23. diameter 24. radius
Chords, secants and tangents
4.5 The Converse of the Pythagorean Theorem
8.3 Polar Form of Complex Numbers
Objective: Write an equation of a Circle
Equations of Circles.
Introduction A theorem is statement that is shown to be true. Some important theorems have names, such as the Pythagorean Theorem, but many theorems do.
1-6 Midpoint & Distance in the Coordinate Plane
Notes Over Pythagorean Theorem
Lesson: 10 – 8 Equations of Circles
Problems #1-6 on worksheet
Lesson 8.11 Finding Distances on the Coordinate Plane
Chapter 9 Section 8: Equations of Circles.
28. Writing Equations of Circles
Warm up Find the distance between the points (1,4), and (-2, 3).
Objective: To write an equation of a circle.
Warm Up. What measure is needed to find the circumference or area
Lesson 8.11 distance and midpoint formula
Warm up: Write an equation for the circle that has center (5, 0), and radius 6 units. A. x2 + (y – 5)2 = 36 B. x2 – (y – 5)2 = 36 C. (x – 5)2 + y2 = 36.
3.4 Circular Functions.
Writing Equations of Circles
Warm-up (YOU NEED A CALCLULATOR FOR THIS UNIT!)
Presentation transcript:

Warm up Find the distance between the points (1,4), and (-2, 3). 2. Find the distance the ball was kicked in the diagram. 3.16 (40,45) 50 (10,5) (0,0)

Using Distance or Pythagorean Theorem Closest to the Origin

Ex: 1 Which point is closer to the Origin, (-5, 2.1) or (6, 1)?

(1.5, -10) is closest to the Origin. Ex: 2 Which point is closest to the Origin, (1.5, -10), (12.2, 1) or (6.7, 7.7)? (1.5, -10) is closest to the Origin.

Which golf ball is closes to the hole? Example 3 Which golf ball is closes to the hole?

Using Distance or Pythagorean Theorem Does the point lie on the circle?

Ex 4: Determine whether Point A lies on the circle whose center is Point C and contains the Point P. The distances from the center to each point are the same so, therefore, Point A is on the circle.

Ex 5: Determine whether Point A lies on the circle whose center is Point C and contains the Point P. The distances from the center to each point are NOT the same so, therefore, Point A is NOT on the circle.

Classwork Is the Point on the Circle? & Using Direction, Distance, & Classifying Triangles

Task: Geometric Properties on the Plane Homework Task: Geometric Properties on the Plane