To summarize, to place a figure in the coordinate plane, it is usually helpful to place at least one side on an axis or to center the figure at the origin. For the coordinates, try to anticipate what you will need to do in the problem. Then multiply the coordinates by the appropriate number to make your work easier.
Problem 1 Naming Coordinates
What are the coordinates of the vertices of each figure?
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SQRE is a square where SQ = 2a. The axes bisect each side.
Since SQRE is a square centered at the origin and SQ = 2a, S and Q are each a units from each axis. The same is true for the other vertices.
Plan
How do you start the problem?
Look at the position of the figure. Use the given information to determine how far each vertex is from the x- and y-axes.
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TRI is an isosceles triangle where TI = 2a. The y-axis is a median.
The y-axis is a median, so it bisects
✓ Got It?
- What are the coordinates of the vertices of each figure?
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RECT is a rectangle with height a and length 2b. The y-axis bisects
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KITE is a kite where IE = 2a, KO = b, and OT = c. The x-axis bisects
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RECT is a rectangle with height a and length 2b. The y-axis bisects
Table of Contents
- 6-1 The Polygon Angle-Sum Theorems
- 6-2 Properties of Parallelograms
- 6-3 Proving That a Quadrilateral Is a Parallelogram
- 6-4 Properties of Rhombuses, Rectangles, and Squares
- 6-5 Conditions for Rhombuses, Rectangles, and Squares
- 6-6 Trapezoids and Kites
- 6-7 Polygons in the Coordinate Plane
- 6-8 and 6-9 Coordinate Geometry and Coordinate Proofs