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

Coordinate Geometry Warmup

$(4, 5)$ is the midpoint between $(2, 1)$ and $(x, y).$ What is the value of $xy?$

0 9 36 54

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by Brilliant Staff

A bug sitting at the point $(1, 2)$ moves 5 units vertically (parallel to the $y$ -axis) and 1 units horizontally (parallel to the $x$ -axis). Which ordered pair gives potential coordinates for the bug's new location?

(-3, 2) (7, 2) (2, -3) (2, -7)

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by Brilliant Staff

The points $A, B, C,$ and $D$ form a rectangle that is twice as tall as it is wide. Given the coordinates of two of the points $A = (2, -5),$ and $B = (2, 1),$ where might another point of the rectangle ( $C$ or $D$ ) be located?

(-1, 1) (5, 2) (4, -5) (3, 1)

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by Brilliant Staff

$Q = (x, y),$ is a point on line segment $BC$ such that, comparing the lengths, $BQ:QC = 1:3.$ What is the value of $x + y$ if $B$ is the point (2, 2), and $C,$ the point (6, 14).

4 16 8 10

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by Brilliant Staff

Circle $C$ has a center at $(2, 1)$ with a radius of 5. Which point could lie on the circle?

(-1, 5) (-2, -3) (1, 6) (6, 3)

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by Brilliant Staff

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