Real math help.
How Do You Use Variables to Name Coordinates for a Figure Placed on the Coordinate Plane?
Note:
This tutorial shows you how to find the vertices of a rhombus that's graphed on the coordinate plane!
Background Tutorials
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Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.
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What is a Rhombus?
A rhombus is a special kind of quadrilateral. Knowing about the special properties of a rhombus is important to identifying and using these special polygons. This tutorial introduces you to the rhombus and explains its unique qualities. Take a look!
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Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
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What is a Line Segment?
A math term can really tell you a lot about the thing it's describing. Take the term line segment. A line segment is just part of a line! In this tutorial, learn about line segments, how to name them, and what the midpoint of a line segment is!
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Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).
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What is the Origin?
The coordinate plane has two axes: the horizontal and vertical axes. These two axes intersect one another at a point called the origin. Learn about the ordered pair that indicates the origin and its location in the coordinate plane by watching this tutorial!
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Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
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What Does Congruent Mean?
If two figures have the same size and shape, then they are congruent. The term congruent is often used to describe figures like this. In this tutorial, take a look at the term congruent!
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Further Exploration
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Use coordinates to prove simple geometric theorems algebraically.
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How Do You Write a Coordinate Proof?
In this tutorial, you'll see how to write a coordinate proof to prove that two triangles are congruent. Check it out!
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