InkLoopInkLoop/NYS Standards/NY-G.GPE.7
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NY-G.GPE.7
GeometryGeometric Properties with Equations60 target questions

Use coordinates to compute perimeters of polygons and areas of triangles and rectangles. For example find the area of a triangle given the coordinates of its vertices.

Sample Practice Questions (3)

1
What is the area of with vertices , , and ?
-5 -4 -3 -2 -1 1 2 3 4 5 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 x y X Y Z
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
2
The vertices of are , , and . What is the area of ?
-5 -4 -3 -2 -1 1 2 3 4 5 -5 -4 -3 -2 -1 1 2 3 4 5 x y A B C
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
3
Triangle has vertices , , and . What is the perimeter of ?
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -5 -4 -3 -2 -1 1 2 3 4 5 x y D E F
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
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More Geometry Standards

NY-G.CO.1Know precise definitions of angle circle perpendicular line parallel line and line segment based on the undefined notions of point line distance along a line and distance around a circular arc.→NY-G.CO.2Represent transformations in the plane; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not.→NY-G.CO.3Given a rectangle parallelogram trapezoid or regular polygon describe the rotations and reflections that carry it onto itself.→NY-G.CO.4Develop definitions of rotations reflections and translations in terms of angles circles perpendicular lines parallel lines and line segments.→
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