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Geometry

2D Coordinate Geometry

Concept Quizzes

Coordinate Geometry Warmup
Coordinate Geometry - Identifying Quadrants
Midpoint of a Line Segment
Distance between Two Points
Distance between point and line
Section Formula
Locus of Points
Determining Coordinates
Coordinate Geometry - Angle Bisector
2D Coordinate Geometry - Problem Solving

Challenge Quizzes

2D Coordinate Geometry: Level 2 Challenges
2D Coordinate Geometry: Level 3 Challenges
2D Coordinate Geometry: Level 4 Challenges
2D Coordinate Geometry: Level 5 Challenges

Determining Coordinates

$ABC$ is a right triangle with $\angle ABC = 90 ^ \circ$ .

If $A = ( 4, 9 )$ and $B = ( 11, 14)$ , which of the following is a possible coordinate for $C$ ?

(1, 28)

(16, 28)

(6, 28)

(21, 28)

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by Brilliant Staff

The point $P:(4, -26)$ is reflected across the origin, and now becomes the point $P':(a,b)$ .

What is $a + b$ ?

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by Brilliant Staff

3 out of 4 vertices of a square have coordinates $( 5, 6), (5, 9)$ and $(8, 6 )$ . What is the coordinate of the last vertex?

( 6, 6 )

( 8, 9 )

( 9, 8 )

( 5, 6 )

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by Brilliant Staff

$ABCD$ is a parallelogram. If $A = (0,0)$ , $B = ( 4, 9 )$ , and $C = ( 10, 14 )$ , what are the coordinates of $D$ ?

( 6, 5 )

( 10, 0 )

(0, 14 )

( 5, 6 )

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by Brilliant Staff

$ABCD$ is a quadrilateral such that $AB \parallel CD$ . $A = (0,0)$ , $B = (2, 9)$ , $C = ( 13, 20 )$ , which of the following is a possible coordinate of $D$ ?

(2, 9)

(9, 2)

(9, 0)

(0, 9)

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by Brilliant Staff

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