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MAFS.912.G-GPE.2.4

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Congruence, Similarity, Right Triangles & Trig - 46%

MAFS.912.G-


Circles, Geometric Measurement & Geometric Properties with Equations - 38%

MAFS.912.G-


Modeling with Geometry - 16%

MAFS.912.G-


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What You Need To Know...

MAFS.912.G-GPE.2.4 - Use coordinates to prove simple geometric theorems algebraically.

1. The benchmark will be assessed using Equation Response, Graphic Response, Multiple Choice Response, Open Response or Selectable Text Response.

2. Items may require student to prove/disprove a figure defined by four given points in the coordinate plane is a rectangle; or prove/disprove that a particular point lies on the circle with given information.

3. Items may require students to use slope or the distance formula.

4. Items may require students to use properties of triangles, regular quadrilaterals, circles and polygons.

 

Example One

Example Two

A top view of downtown Rockford is shown on the grid below, with Granite Park represented by quadrilateral ABCD.  The shape of a new park, Mica Park, will be similar to the shape of Granite Park.  Vertices L and  M will be plotted on the grid to form quadrilateral JKLM, representing Mica Park.

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Which of the following coordinates for L and  M  could be vertices of JKLM  so that the shape of Mica Park is similar to the shape of Granite Park?

A.  L(4, 4),  M(4, 3)

B.  L(7, 1),  M(6, 1) 

C.  L(7, 6),  M(6, 6) 

D.  L(8, 4),  M(8, 3)

CLICK HERE FOR SOLUTION

Additional Examples

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Rectangle on the Coordinate Plane
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Point on a Circle

Reference Sheet



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Select sample problems taken from FLDVIPN teacher materials

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Angela Kerins - Orange Co.
Lisa Lasseter - St. Johns Co.
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Jodi Van Wagoner - Brevard Co.

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