InkLoopInkLoop/NYS Standards/NY-G.GPE.4
Log InTry Free
NY-G.GPE.4
GeometryGeometric Properties with Equations60 target questions

Use coordinates to prove simple geometric theorems algebraically. For example prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle.

Sample Practice Questions (3)

1
Quadrilateral has vertices , , , and . Which statement best explains why is a parallelogram?
-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 D
ABoth pairs of opposite sides have equal slopes of and .
BThe diagonals are perpendicular.
CAll four sides are congruent.
DThe quadrilateral has only one pair of parallel sides.
Multiple choice · diagramSee Answer + Explanation →
2
Triangle has vertices , , and . Which classification best describes triangle ?
-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
AIsosceles
BScalene
CRight
DEquilateral
Multiple choice · diagramSee Answer + Explanation →
3
The vertices of are , , and . What is the length of the median from vertex to side ?
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 x y A B C
A
B
C
D
Multiple choice · diagramSee Answer + Explanation →
👩‍🏫

For Teachers

Generate a full auto-graded worksheet for NY-G.GPE.4 in seconds. Track every student's mastery.

Create Worksheet Free →
👨‍👩‍👧

For Parents

See exactly how your child scores on NY-G.GPE.4 and get a personalized practice plan.

View My Child's Progress →

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.→
← Algebra I StandardsAll StandardsAlgebra II Standards →