Midpoint formula-missing-endpoint
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This document contains a math worksheet with 8 problems involving finding the missing endpoint of a line segment given the other endpoint and the midpoint. It provides the questions, spaces for answers, and then the answers key. The questions involve finding x- and y-coordinates of the missing endpoint using the midpoint formula.
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This document discusses graphing linear inequalities in two variables. It provides definitions of key terms like half-plane and boundary. It also gives helpful hints for graphing different types of inequalities based on whether the sign is >, <, ≥, or ≤ and whether it involves just x and y or a slanted line. Examples are provided to demonstrate how to graph inequalities like y > 3, x - 2, y - 3x + 2, and an applied problem involving nickels and dimes. The key steps for graphing a linear inequality on the coordinate plane are outlined.
Solving system of Equations by Graphing
The student will learn to solve systems of equations by graphing. There are three types of solutions when graphing two equations: intersecting lines, which have a single solution where the lines cross; parallel lines, which have no solution; and coinciding lines, which have infinitely many solutions since the lines overlap completely. The student will practice graphing systems of equations and identifying the solution based on whether the lines intersect, are parallel, or coincide.
Introduction To Trigonometry
This document provides an introduction to trigonometric ratios and identities. It defines the six trigonometric ratios (sine, cosine, tangent, cotangent, secant, cosecant) for an acute angle in a right triangle. It gives the specific trigonometric ratios for angles of 0°, 45°, 30°, 60°, and 90°. It also establishes the identities relating trigonometric ratios of complementary angles and the Pythagorean identities relating sine, cosine, tangent, cotangent, secant, and cosecant. Examples are provided to demonstrate how to use trigonometric identities to determine ratios when one ratio is known.
Midpoints (Geometry 2_5)
The document discusses finding the midpoint of a line segment on a number line and on a coordinate plane. It defines the midpoint as the point that bisects the segment. It provides formulas for calculating the x- and y-coordinates of the midpoint given the endpoints' coordinates. Several examples are worked through, finding midpoints of segments with given endpoints on a coordinate plane using the midpoint formulas.
Distance formula powerpoint
The document explains the Pythagorean theorem and distance formula. The Pythagorean theorem states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The distance formula calculates the distance between two points by taking the square root of the sum of the squared differences between their x- and y-coordinates. An example is shown of each formula being used to solve a problem.
distance formula
This document introduces the distance formula, which is used to calculate the distance between two points (x1, y1) and (x2, y2) on a coordinate plane. The distance formula is the square root of (x1 - x2) squared plus (y1 - y2) squared. Several examples are worked through to demonstrate finding the distance between points using their coordinates. Practice problems are also provided for the reader to work through on their own.
10.1 Distance and Midpoint Formulas
1. The document discusses the distance and midpoint formulas in coordinate geometry.
2. It provides the formulas for finding the distance between two points and the midpoint of a line segment.
3. Examples are given of using the formulas to find distances and midpoints, as well as classifying triangles and finding endpoint coordinates given a midpoint.
Midpoint of the line segment
The midpoint of a line segment is the point that divides the segment into two equal parts. There are two methods for finding the midpoint - if the segment is vertical or horizontal, divide the length in half; if diagonal, take the average of the x-coordinates and y-coordinates of the endpoints. Formulas are provided to calculate the midpoint coordinates given the endpoint coordinates. Examples are included to demonstrate finding midpoints of line segments.
Linear inequalities in two variables
The document discusses linear inequalities in two variables and their graphical representations. It introduces the Cartesian coordinate system developed by Rene Descartes and its importance. It explains how to graph linear inequalities by first drawing the line as an equation, then determining whether to shade above or below the line based on whether a test point satisfies the inequality. Students are assigned to bring graphing paper, coloring materials, and a ruler to class on Monday to graph linear inequalities.
Solving systems of Linear Equations
There are three possible solutions to a system of linear equations in two variables:
One solution: the graphs intersect at a single point, giving the solution coordinates.
No solution: the graphs are parallel lines, making the system inconsistent.
Infinitely many solutions: the graphs are the same line, making the equations dependent.
The substitution method for solving systems involves: 1) solving one equation for a variable, 2) substituting into the other equation, 3) solving the new equation, and 4) back-substituting to find the remaining variable.
Distance and midpoint formula
1) The document discusses distance and midpoints between two points in coordinate geometry. It defines the distance formula as the absolute value of x2 - x1 plus y2 - y1.
2) It presents the midpoint formulas, where the x-coordinate of the midpoint is (x1 + x2)/2 and the y-coordinate is (y1 + y2)/2.
3) Examples are given to find the distance between two points, and to determine the midpoint or endpoints of a line segment given coordinates of two points.
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Midpoint formula-missing-endpoint
- 1. Student Name: __________________________ Score: Free Math Worksheets @ http://www.mathworksheets4kids.com ࡹࢊ ࢚ ࢌ ࢚ࢎࢋ ࢋ ࢙ࢋࢍࢋ࢚ ࡼሺ࢞, ࢟ሻ ࢇࢊ ࡽሺ࢞, ࢟ሻ ࢙ ൬ ࢞ ࢞ , ࢟ ࢟ ൰ Find the missing end point of the following line segments whose midpoint and one of the endpoint is given: Endpoint: (2, 5), midpoint: (3, 4) Missing endpoint: ________________ Endpoint: (7, 9), midpoint: (6, 7) Missing endpoint: ________________ Endpoint: (-4, 8), midpoint: (0, 8) Missing endpoint: ________________ Endpoint: (-1, -1), midpoint: (-1, -1) Missing endpoint: ________________ Endpoint: (3, 10), midpoint: (-2, -3) Missing endpoint: ________________ Endpoint: (0, 4), midpoint: (5, 3.5) Missing endpoint: ________________ Endpoint: (6, -2), midpoint: (4.5, -2.5) Missing endpoint: ________________ Endpoint: (4, 4), midpoint: (0, 0) Missing endpoint: ________________ Midpoint Formula Worksheet
- 2. Student Name: __________________________ Score: Free Math Worksheets @ http://www.mathworksheets4kids.com Answers Endpoint: (2, 5), midpoint: (3, 4) Missing endpoint: (4, 3) Endpoint: (7, 9), midpoint: (6, 7) Missing endpoint: (5, 5) Endpoint: (-4, 8), midpoint: (0, 8) Missing endpoint: (4, 8) Endpoint: (-1, -1), midpoint: (-1, -1) Missing endpoint: (-1, -1) Endpoint: (3, 10), midpoint: (-2, -3) Missing endpoint: (-7, -16) Endpoint: (0, 4), midpoint: (5, 3.5) Missing endpoint: (10, 3) Endpoint: (6, -2), midpoint: (4.5, -2.5) Missing endpoint: (3, -3) Endpoint: (4, 4), midpoint: (0, 0) Missing endpoint: (-4, -4)