MAFS.912.G-GPE.2.4
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Congruence, Similarity, Right Triangles & Trig - 46%
MAFS.912.G-
CO.1.1 Definitions
CO.1.2 Use Transformations
CO.1.5 Map Transformations
CO.2.6 Rigid Motions
CO.3.9 Line & L Theorems
CO.3.10 Triangle Theorems
CO.3.11 Parallelograms
CO.4.12 Constructions
SRT.1.1 Dilations
SRT.1.2 Def of Similarity
SRT.1.3 AA Similarity
SRT.2.5 ~ &
Criteria of 
SRT.3.8 Trig & Pyth Theorem
Circles, Geometric Measurement & Geometric Properties with Equations - 38%
MAFS.912.G-
C.1.1 Similar Circles
C.1.2 Chord-L Relationships
C.1.3 Inscribe/Circumscribe
C.2.5 Arcs, Angles, Sectors
GMD.1.1 Argue Formulas
GMD.1.3 Use Formulas
GMD.2.4 Identify Objects
GPE.1.1 Equation of a Circle
GPE.2.4 Use Coordinates
GPE.2.5 Use || and 
GPE.2.6 Segment Ratios
GPE.2.7 Coordinate Per/Area
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.
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)
Additional Examples
Reference Sheet
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