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

Slides:

Advertisements

Similar presentations

Pythagorean Theorem, Distance Formula and Midpoint Formula.

Advertisements

Distance, Midpoint, Pythagorean Theorem. Distance Formula Distance formula—used to measure the distance between between two endpoints of a line segment.

The Distance Formula Lesson 9.5.

Distance formula.

Geometry: Distance/ Midpoints. Do Now: Check in Problem (do this by yourself and it will be taken and graded as a hw grade) Directions: Find the value.

1-7: Midpoint and Distance in the Coordinate Plane

1.6: The Coordinate Plane Objective:

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

THE DISTANCE FORMULA ALGEBRA 1 CP. WARM UP Can the set of numbers represent the lengths of the sides of a right triangle? 4, 5, 6.

The Distance and Midpoint Formulas

1-8 The Coordinate Plane SWBAT: Find the Distance between two points in the Coordinate Plane. Find the Coordinates of a Midpoint of a segment.

Chapter 1, Section 6. Finding the Coordinates of a Midpoint  Midpoint Formula: M( (x1+x2)/2, (y1+y2)/2 )  Endpoints (-3,-2) and (3,4)

The Distance and Midpoint Formulas

WARMUP Take a sheet of graph paper. Plot the following points and state the quadrant they are in (5, 2) (-4, 3) (-1, -4) (3, -5)

Special Right Triangles Trigonometric Ratios Pythagorean Theorem Q: $100 Q: $200 Q: $300 Q: $400.

Warm up r = -3 k = -3 x = – 6r = 2r k – 5 = 7k + 7

Homework: Distance & Midpoint Worksheet Big quiz on Thursday Warm-Up:

Distance & Midpoint Formulas Sections covered: 1.8 The Coordinate Plane.

The Distance Formula & Pythagorean Theorem Day 90 Learning Target : Students can find the distance between 2 points using the distance formula.

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

TOOLS OF GEOMETRY UNIT 1. TOOLS OF GEOMETRY Date Essential Question How is the Pythagorean Theorem used to find the distance between two points? Home.

Distance Formula Geometry Regular Program SY Source: Discovering Geometry (2008) by Michael Serra.

Pre-Calculus Coordinate System. Formulas  Copy the following formulas into your notes. –Distance Formula for Coordinate Plane –Midpoint Formula for Coordinate.

Splash Screen. Then/Now You graphed points on the coordinate plane. (Lesson 0–2) Find the distance between two points. Find the midpoint of a segment.

April 17, 2012 Midpoint and Distance Formulas

Unit 2 Test Review Geometry Tuesday 1/12/12. Warm up 1/12/2012 Obj 2.

1.8 Midpoint & Distance Formula in the Coordinate Plane Objective: Develop and apply the formula for midpoint. Use the Distance Formula and the Pythagorean.

 Then: You graphed points on the coordinate plane.  Now: 1. Find the distance between points. 2. Find the midpoint of a segment.

DISTANCE BETWEEN TWO POINTS 8.G.8 Essential Question? How can you use the Pythagorean Theorem to find the distance between two points on a coordinate plane?

Distance Formula: EQ: What is the distance formula?

Warm Up Find the midpoints: 1.(7,1) and (17, 9) 2.(6, 5) and (6, 3) 3.(8, 24) and (15, 13)

Lesson 86 Warm Up Pg Algebra 1 Lesson 86 Calculating the Midpoint and Length of a Segment.

Warm up Solve – 6r = 2r k – 5 = 7k (x + 4) = 6x r = -3 k = -3 x = 2.

Warm up Solve – 6r = 2r k – 5 = 7k (x + 4) = 6x r = -3 k = -3 x = 2.

Warm-up Use the Pythagorean theorem to find the missing length of the right triangle. Round to the nearest tenth Determine whether the given.

Midpoint And Distance in the Coordinate Plane

1-7: Midpoint and Distance in the Coordinate Plane

Midpoint and Distance in the Coordinate Plane

Bell work: Turn in when completed

Geometry Warm ups Simplify each radical to simplest radical form.

Section 1-6 Midpoint and Distance in the Coordinate Plane

Distance Midpoint Distance Formula Pythagorean Theorem

Warm-up Use the Pythagorean theorem to find the missing length of the right triangle. Round to the nearest tenth Determine whether the given.

Distance and Midpoint Formulas

5.1: Midsegments of Triangles

Lesson 2.7 Core Focus on Geometry The Distance Formula.

How to Find a Midpoint of two points on a Number Line - take the average of the coordinates , where M is the coordinate of the midpoint, and x1 and.

1. Find the distance between HINT FOR MULTIPLE CHOICE!

Distance on the Coordinate Plane

1-6 Midpoint & Distance in the Coordinate Plane

Warm-up Use the Pythagorean theorem to find the missing length of the right triangle. Round to the nearest tenth Determine whether the given.

In the diagram at the left, AB is a horizontal line segment.

1-6 Midpoint and Distance in the Coordinate Plane Warm Up

Pythagorean Theorem.

Pythagorean Theorem.

The Distance Formula.

Pythagorean Theorem.

In the diagram at the left, AB is a horizontal line segment.

The Distance Formula & Pythagorean Theorem

Warm up r = -3 k = -3 x = – 6r = 2r k – 5 = 7k + 7

1. Find the distance between HINT FOR MULTIPLE CHOICE!

Objectives Develop and apply the formula for midpoint.

Midpoints and Distance

1. Find the distance between HINT FOR MULTIPLE CHOICE!

Warm up r = -3 k = -3 x = – 6r = 2r k – 5 = 7k + 7

Welcome to Interactive Chalkboard

1-6 Midpoint and Distance in the Coordinate Plane Warm Up

Pythagorean Theorem.

1-6: Midpoint and Distance

Pythagorean Theorem.

Presentation transcript:

Unit 2 Test Review Geometry Tuesday 9/21/10

Homework Review

Pre-Assessment Answer the question on your own paper

Pythagorean Theorem Find the value of each variable. Leave your answers in simplest radical form. 1. 2. 3. 4.

Pythagorean Theorem The numbers represent the lengths of the sides of a triangle. Is this a right triangle? 1. 6, 9, 10 2. 18, 24, 30 3. 20, 100, 110

Distance Formula Find the distance between the points to the nearest tenth. 6. L(-4, 11), P(-3, 4) 7. N(1, 0), P(3, 8) 8. Q(10, 10), R(10, -2) 9. S(0, 5), T(0, -3)

Midpoint Formula 1. A(6, 7), B(4, 3) 2. C(-1, 5), D(2, -3) Find the coordinates of the midpoint of each segment. The coordinates of the endpoints are given. 1. A(6, 7), B(4, 3) 2. C(-1, 5), D(2, -3) 3. E(14, -2), F(7, -8) 4. G(0, 0), H(-5, 12)

Midpoint Formula 1. The midpoint of is (1, 2). The coordinates of A are (-3, 6). Find the coordinates of B. 2. The midpoint of is (4, 11). The coordinates of D are (4, 12). Find the coordinates of C. 3. The midpoint of is (-3, 7). The coordinates of E are (-3, 10). Find the coordinates of F.

Applications 1. Graph the points and .Draw the segments connecting A, B, C, and D in order. Are the lengths of the sides of ABCD the same? Explain. 2. A crow flies to a point that is 1 mile east and 20 miles south of its starting point. How far does the crow fly?

Applications Quadrilateral PQSR has coordinates as follows: P(0, 0), Q(-1, 4), R(8, 2), and S(7, 6). 1. Graph quadrilateral PQSR. 2. What is the perimeter of PQSR? 3. What is the midpoint of QR?