EOC Strategy - GEOMETRY Coordinate geometry. STRATEGY #1 –USE A GRAPH  If there are coordinates given in a problem -GRAPH THEM -LABEL THEM  MARK THE.

Slides:

Advertisements

Similar presentations

8.1 The Distance and Midpoint Formulas p. 490 What is the distance formula? How do you use the distance formula to classify a triangle? What is the midpoint.

Advertisements

The Distance Formula The distance formula is used to find the Length of the segment.

Perimeter Rectangles, Squares, and Triangles Perimeter Measures the distance around the edge of any flat object. To find the perimeter of any figure,

Warm-Up Given: AB has endpoints A (3, -4) and B (-1, -6) Find: Midpoint M and Distance.

Use coordinate geometry to represent and analyze line segments and polygons, including determining lengths, midpoints and slopes of line segments.

Keystone Geometry Unit 7

Chapter 5 Perpendicular Bisectors. Perpendicular bisector A segment, ray or line that is perpendicular to a segment at its midpoint.

TMAT 103 Chapter 2 Review of Geometry. TMAT 103 §2.1 Angles and Lines.

© A Very Good Teacher 2007 Exit Level TAKS Preparation Unit Objective 7.

UNIT 4: Coordinate Geometry Distance, Pythagorean Theorem, Midpoint.

(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.

Created by: Sharon Moore

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.

Unit 2 Test Review Geometry Tuesday 9/21/10.

Midpoint and Distance in the Coordinate Plane.   Students will be able to…  Develop and apply the formula for midpoint.  Use the distance formula.

11.5 Area of Regular Polygons. Theorem 106 Theorem 106: The area of an equilateral triangle equals the product of one- fourth the square of a side and.

Jeopardy Geometry Circles 1 Triangles 2 Polygons 3 Formulas 4 Angles 5 Pot Luck

$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300.

1-5: USING FORMULAS IN GEOMETRY. PERIMETER & AREA RectangleSquareTriangle P = 2l + 2w or 2(l + w) A = lw P = 4s A = s 2 P = a + b + c A = ½ bh.

1.8: Perimeter, Circumference, and Area

5.7: Proofs Using Coordinate Geometry Expectations: G1.1.5: Given a line segment in terms of its endpoints in the coordinate plane, determine its length.

Making graphs and solving equations of circles.

Ms. Branch UNIT 3 Do Now What do you think coordinate geometry is? Write a web.

Jeopardy Terminology Geometry This PowerPoint was revised from the original version from; geometry.ppt.

Section 11-2 Areas of Regular Polygons. Area of an Equilateral Triangle The area of an equilateral triangle is one fourth the square of the length of.

Geometry Review Lines, Angles, Polygons. What am I?

Aim: Review the distance and midpoint Do Now: in the triangle, find the lengths of two legs (-2,4) (3,6) (3,4)

Topic 5-1 Midpoint and Distance in the Coordinate plan.

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.

Section 6.2 – The Circle. Write the standard form of each equation. Then graph the equation. center (0, 3) and radius 2 h = 0, k = 3, r = 2.

1.1 and 1.5 Rectangular Coordinates and Circles Every man dies, not every man really lives. -William Wallace.

Sec 1.8 Circles Objectives: To understand the distance and midpoint formulas. To understand the equations of circles and their graphs.

2D Computer Project By: Alexander and Alby. obtuse angle right angle 3 types of angles an angle that measure exactly 90 degrees. an angle that measure.

Equation of Circle Midpoint and Endpoint Distance Slope

Section 2.8 Distance and Midpoint Formulas; Circles.

DAY 1 DISTANCE ON THE PLANE – PART I: DISTANCE FROM THE ORIGIN MPM 2D Coordinates and Geometry: Where Shapes Meet Symbols.

Notes Over 10.1 Finding the Distance Between Two Points Find the distance between the two points.

Topic 9 Ms. Helgeson Coordinate Geometry.

Aim: How can we solve coordinate quadrilateral proofs

CIRCLES Topic 7.3.

First, recall the Cartesian Plane:

1-3 The Distance and Midpoint Formulas

Midpoint and Distance in the Coordinate Plane

Distance and Midpoint Formulas

Introduction Triangles are not the only figures that can be inscribed in a circle. It is also possible to inscribe other figures, such as squares. The.

9.1 Apply the Distance and Midpoint Formulas

Plane Figures 3rd Grade Mrs. Salgado.

11.5 Areas of Regular Polygons

Section 2.8 Distance and Midpoint Formulas; Circles

1-6 Midpoint & Distance in the Coordinate Plane

Apply the Distance and Midpoint Formulas

9.1 Apply the Distance and Midpoint Formulas

HINT FOR MULTIPLE CHOICE!

Distance and Midpoint Formulas; Circles

Circles 4.1 (Chapter 10). Circles 4.1 (Chapter 10)

Geometry Unit 12 Distance and Circles.

EQ: What is the midpoint formula?

HINT FOR MULTIPLE CHOICE!

Section 1 – Introduction to Analytic Geometry

Classifying Triangles

The Distance and Midpoint Formulas

Midpoint and Length Applications.

Warm Up Complete the square and write as a squared binomial.

Warm Up Construct a segment AB.

CIRCLES Topic 7.3.

CIRCLES Topic 7.3.

Area and Perimeter Triangles.

CIRCLES Topic 7.3.

Presentation transcript:

EOC Strategy - GEOMETRY Coordinate geometry

STRATEGY #1 –USE A GRAPH  If there are coordinates given in a problem -GRAPH THEM -LABEL THEM  MARK THE QUESTION  eye ball it

EXAMPLE G1.1  Describe the quadrilateral ABCD with vertices a(7,8) B(9,10) C(7, 12) D(5,10).

STRATEGY #2 – LOOK FOR KEY WORDS in combination with coordinates DISTANCE FORMULA  “how far?”  Length  perimeter MIDPOINT FORMULA  Halfway  Bisect  Middle  Center of circle

Will we use distance or midpoint? Do not solve!  Triangle RST has vertices at R(7, 4), S(12, 12), and T(2, 12). What is the approximate perimeter of triangle RST?  The center of a circle is located at (0, 4). The endpoint, X, of one of the circle’s radii is ( 4, 5). Segment XY is a diameter of the circle. Where is point Y located?

EXAMPLE G1.2 Use both strategies: graph & key words  Triangle RST has vertices at R(3, 4), S(8, 8), and T(2, 0). What is the approximate perimeter of triangle RST?

EXAMPLE G1.3 Use both strategies: graph & key words  The center of a circle is located at (0, 4). The endpoint, X, of one of the circle’s radii is ( -4, 5). Segment XY is a diameter of the circle. Where is point Y located?

CHECK IT G1.4 The coordinates of the vertices of a square are (-1, 0), (1, -1), (0, -3), and (-2, -2). What is the area of the square?

CHECK IT G1.5  A map of the school is drawn on a coordinate grid. The front office is located at ( -2, 3) and math class is located at ( -8, -2). The water fountain is located halfway between the front office and math class. Where is the drinking fountain located on the map?

Check it G1.6 Triangle LMN has the vertices (1, 6), (6, 3), and (5, 7). What type of triangle is Triangle LMN? A. equilateral triangle B. isosceles triangle C. scalene triangle D. obtuse triangle