Mod 17.2: Subdividing a Segment in a Given Ratio

Slides:

Advertisements

Similar presentations

Objective Apply the formula for midpoint.

Advertisements

1.1 Line Segments, Distance and Midpoint

1.3 Use Midpoint and Distance Formulas

Midpoint and Distance Formulas

Introduction The use of the coordinate plane can be helpful with many real-world applications. Scenarios can be translated into equations, equations can.

3.5 Parallel and Perpendicular Lines

Lesson 6.4 Midpoint Formula & Partitions Concept: Partitions EQ: How do we partition a line segment in the coordinate plane? (G.GPE.6) Vocabulary: Midpoint,

Midpoints of line segments. Key concepts  Line continue infinitely in both directions, their length cannot be measured.  A Line Segment is a part of.

Introduction The use of the coordinate plane can be helpful with many real-world applications. Scenarios can be translated into equations, equations can.

Midpoints and Other Points on Line Segments

4-1 Detour Proofs Learner Objective: I will calculate midpoints of segments and complete proofs requiring that more than one pair of triangles be shown.

The Distance and Midpoint Formula

Objective: Determine if triangles in a coordinate plane are similar. What do we know about similar figures? (1)Angles are congruent (2)Sides are proportional.

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:

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

7.4 Parallel Lines and Proportional Parts

Use Midpoint and Distance Formulas

Warm Up 1. Graph A (–2, 3) and B (1, 0). 2. Find CD. 8

1.3 Distance and Midpoints

Holt Geometry 1-6 Midpoint and Distance in the Coordinate Plane Develop and apply the formula for midpoint. Use the Distance Formula to find the distance.

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.

Midpoint and Distance Formulas Section 1.3. Definition O The midpoint of a segment is the point that divides the segment into two congruent segments.

Objective: Finding distance and midpoint between two points. Warm up 1.

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)

Midpoint and Distance Formulas

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

Holt Geometry 1-6 Midpoint and Distance in the Coordinate Plane Happy Monday!!! Please take out your assignment from Friday and be ready to turn it in.

1.6 Basic Construction 1.7 Midpoint and Distance Objective: Using special geometric tools students can make figures without measurments. Also, students.

4.1 Apply the Distance and Midpoint Formulas The Distance Formula: d = Find the distance between the points: (4, -1), (-1, 6)

Equation of Circle Midpoint and Endpoint Distance Slope

Objective Apply the formula for midpoint.

GEOMETRY Section 1.3 Midpoint.

Mod 2.3: Solving Absolute Value Inequalities

Midpoint and Distance Formulas

Midpoint And Distance in the Coordinate Plane

Midpoint and Distance Formulas

Midpoint Formula & Partitions

Mod 15.3: Triangle Inequalities

Chapter 5.1 Segment and Angle Bisectors

Midpoint and Distance Formulas

Distance and Midpoint Formulas

1. Graph A (–2, 3) and B (1, 0). 2. Find CD. 8 –2

Distance and Midpoint In The Coordinate Plane

Coordinate Geometry Notes Name:____________________________

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

Midpoint and Distance in the Coordinate Plane

Introduction The use of the coordinate plane can be helpful with many real-world applications. Scenarios can be translated into equations, equations can.

Warm-Up Given two three-digit numbers abb and abc, find the value for digits a, b, c, d, and e. Here are the clues: a + b = c abc + abb = ddd.

Warm-Up Given two three-digit numbers abb and abc, find the value for digits a, b, c, d, and e. Here are the clues: a + b = c abc + abb = ddd.

Warm-Ups Many numbers can be re-written as the ratio of two integers. For example, . Can the following numbers can be re-written as the.

Coordinate Proof Using Distance with Segments and Triangles p 521

Mod 17.3: Using Proportional Relationships

Objectives Develop and apply the formula for midpoint.

12/1/2018 Lesson 1-3 Formulas Lesson 1-3: Formulas.

Mod 16.1: Dilations Essential Question: What can you say about the interior and exterior angles of a triangle and other polygons? CASS: G-SRT.1a, G-SRT.2b.

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

Geometry 6.4 Midsegment Theorem

Algebra 1 Section 1.2.

Objective: To calculate midpoint and distance in the xy-plane.

Warm Up 1. Graph A (–2, 4) and B (1, 0). 2. Find CD.

Partitioning a Segment

Mod 15.1: Interior and Exterior Angles

Mod 15.7: Conditions for Rectangles, Rhombi, and Squares

If AD = 16 and BD = 4 and AC = 9, find AE.

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

1.3 Use Midpoint and Distance Formulas

1-6: Midpoint and Distance

Presentation transcript:

Mod 17.2: Subdividing a Segment in a Given Ratio Essential Question: How do you find the point on a directed line segment that partitions the given segment in a given ratio? CASS: G-GPE.6 Find the point on a directed line segment between two given points that partitions the segment in a given ratio. Also G-CO.12 MP.5 Using Tools

Revisit the Essential Question: How can you show that two triangles are similar?

Partitioning a Segment in a One-Dimensional Coordinate System EXPLORE 1 Partitioning a Segment in a One-Dimensional Coordinate System p. 891

Partitioning a Segment in a One-Dimensional Coordinate System EXPLORE 1 Partitioning a Segment in a One-Dimensional Coordinate System p. 891

Partitioning a Segment in a Two-Dimensional Coordinate System EXPLAIN 1 Partitioning a Segment in a Two-Dimensional Coordinate System p. 892 Steps: Mark both points of graph paper. Calculate slope: graphically or formula. Simplify slope. Start at point A and use slope to partition the segment. Point P: 3 to 1 ratio means 3 out of 4. Write coordinate of point P

Partitioning a Segment in a Two-Dimensional Coordinate System EXPLAIN 1 Partitioning a Segment in a Two-Dimensional Coordinate System p. 893 Steps: Mark both points of graph paper. Calculate slope: graphically or formula. Simplify slope. Start at point A and use slope to partition the segment. Point P: 3 to 1 ratio means 3 out of 4. Write coordinate of point P

Do WS 17.2, #1-4

REFLECT p. 893 The point is the midpoint of the segment. Use the midpoint formula.

Your Turn p. 894

Revisit the Essential Question: How do you find the point on a directed line segment that partitions the given segment in a given ratio? If the segment lies on a number line, subtract the coordinates to find the distance between the endpoints. Then multiply the length by the ratio to find the coordinate of the point that divides the segment in that ratio. If there are no coordinates, use a compass and straightedge to divide the given segment into equal parts, and identify the point that divides the segment in the given ratio.

ASSIGNMENTS pp. 887f #3-10, 14 pp. 897 # 5-8; and for EC #19