1.3 Distance & Midpoint I CAN FIND THE DISTANCE BETWEEN TWO POINTS AND THE MIDPOINT OF A SEGMENT.

Slides:



Advertisements
Similar presentations
1.7 Midpoint and Distance in the Coordinate Plane 9/22/10
Advertisements

Sec 1-3 Concept: Use Midpoint and Distance Formulas
Chapter measuring and constructing segments
The point halfway between the endpoints of a line segment is called the midpoint. A midpoint divides a line segment into two equal parts.
Lesson 1-3: Use Distance and Midpoint Formulas
©thevisualclassroom.com (2,4) (12, 8) 2.7 Determining the Midpoint of a Line Segment (7,6) Find the midpoint between the points (2, 4) and (12, 8) 2 12.
MATHPOWER TM 10, WESTERN EDITION Chapter 6 Coordinate Geometry
1.8 The Coordinate Plane.
Midpoint Formula, & Distance Formula
Distance, Midpoint, & Slope. The Distance Formula Find the distance between (-3, 2) and (4, 1) x 1 = -3, x 2 = 4, y 1 = 2, y 2 = 1 d = Example:
5.4 Medians and Altitudes A median of a triangle is a segment whose endpoints are a vertex and the midpoint of the opposite side. A triangle’s three medians.
Use coordinate geometry to represent and analyze line segments and polygons, including determining lengths, midpoints and slopes of line segments.
Day 2 agenda Go over homework- 5 min Take up for effort grade
1-7: Midpoint and Distance in the Coordinate Plane
4.7 Triangles and Coordinate Proof
6.4 The Triangle Midsegment Theorem
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.
Use Midpoint and Distance Formulas
1.3 – Segment addition, midpoint, and bisect
Geometry 1.2: Segments and Congruence SWLT: Use segment postulates to identify congruent segments.
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.
8-1, 1-8 Pythagorean Theorem, Distance Formula, Midpoint Formula
Objective: Finding distance and midpoint between two points. Warm up 1.
The Distance and Midpoint Formulas
Distance.
1-3: Measuring Segments. Today’s Objectives  Use The Ruler Postulate to calculate lengths of segments  Identify the midpoint of a segment, and apply.
1.4 and 1.5 Quiz on Friday!. When two lines intersect, they intersect in a ___________ Point.
1.3: Segments, Rays, and Distance
Unit 1 Part 3 Segment Addition & Distance and Midpoint Formulas.
Do Now Draw and label a figure for each relationship:
Chapter 5 Unit Question How do we solve applications of equations in algebra?
April 17, 2012 Midpoint and Distance Formulas
Slope: Define slope: Slope is positive.Slope is negative. No slope. Zero slope. Slopes of parallel lines are the same (=). Slopes of perpendicular lines.
Section 1-1 Points and Lines. Each point in the plane can be associated with an ordered pair of numbers, called the coordinates of the point. Each ordered.
1.8 Midpoint & Distance Formula in the Coordinate Plane Objective: Develop and apply the formula for midpoint. Use the Distance Formula and the Pythagorean.
Bellwork 1.The coordinates of the endpoints of, in the standard (x, y) coordinate plane, are A (2, -4) and B( - 6, 3). What is the y-coordinate of the.
Warm up (draw each one) 1) Vertical line m intersects a horizontal plane M at point O. 2) Horizontal plane P contains two lines k and n that intersect.
Do Now 8/29/12 Name the intersection of each pair of planes or lines
WARMUP TEXTBOOK P. 18 #35-53 ODD. SEGMENTS AND SEGMENT ADDITION AGENDA: WARMUP SEGMENT NOTES/PRACTICE QUIZ THURSDAY UNIT 2 TEST WEDNESDAY (2/18)
1 Then the lengths of the legs of ABC are: AC = |4 – (–3)| = |7| = 7 BC = |6 – 2| = |4| = 4 To find the distance between points A and B, draw a right triangle.
Warm Up Find the midpoints: 1.(7,1) and (17, 9) 2.(6, 5) and (6, 3) 3.(8, 24) and (15, 13)
1-3 Segments, Rays, and Distance
The coordinate plane is formed by the intersection of two perpendicular number lines called axes. The point of intersection, called the origin, is at 0.
Warm Up.
Segments, Rays, and Distance
Midpoint and Distance Formulas
1-7: Midpoint and Distance in the Coordinate Plane
5.4 Midsegment Theorem Geometry 2011.
Algebra Commandments Measurement.
Warm Up: Find the length of ST
1-3: Measuring Segments Geometry – Grade 7 Book page:20.
Distance and Midpoint Formulas
5.1: Midsegments of Triangles
Slope and Midpoint.
5-1 Midsegments of Triangles
Midpoint and Distance in the Coordinate Plane
Appetizer Draw, label, and cut out a large triangle; it does not matter what type of triangle. Label (on the inside), the vertices A, B, and C. Fold A.
Distance and Midpoint Formulas
Finding the Midpoint To discover the coordinates of the midpoint of a segment in terms of those of its endpoints To use coordinates of the midpoint of.
Distance Distance – The length of a segment, found by using the coordinates of the endpoints. If the segment is part of a number line (either horizontal.
Line Segment A line segment consists of two points called endpoints of the segment and all the points between them. A D H.
1-6 Midpoint Find the midpoint of: DE: DC: AB: AE: (2+5) / 2 = 3.5
3.4 Proofs with perpendicular lines
Do-Now Solve for x: 3x – 10 = 7x + 2 Factor: x2 + 7x – 18
Chapter 1 Exploring Geometry.
The mid-point of two points.
Measuring and Constructing Segments
Review Unit 6 Test 1.
The Distance & Midpoint Formulas
Objective Prove and use properties of triangle midsegments.
Presentation transcript:

1.3 Distance & Midpoint I CAN FIND THE DISTANCE BETWEEN TWO POINTS AND THE MIDPOINT OF A SEGMENT.

Ex 1: How do you find the distance between two points? A. To help your team get started, what can you do to find the length of a horizontal or vertical segment? What is the length of AB? What is the length of BC? B. How do you find the length of a segment that has a slope? Draw in segment AC. What type of shape did you form? What strategy can your team use to find the length of AC?

What does the word midpoint mean?

Ex 2: With your study team find a way to find the midpoint of a line segment.

Ex 3: Find the distance and midpoint of EF. E is located at (-4, 1) and F(3, -1).

Ex 4: Use Algebra to find measures.

Learning Log In your Learning Log, explain what a midpoint is and the method you prefer for finding midpoints of a line segment when given the coordinates of its endpoints. Include any diagram or example that helps explain why this method works. Title this entry “Finding a Midpoint” and label it with today’s date.

1.3 HW(Graph Paper) Book problems on a Worksheet