Practice using ordered pairs, quadrants, distances, reflections, and area on the coordinate plane.
Read each problem carefully. Show your work in the space provided. Use graph paper when helpful.
Graphing points, finding distances, and working with shapes on the coordinate plane
Geometry - Grade 6-8
- 1
Plot the point A(3, 5) on a coordinate plane. Describe how to move from the origin to reach point A.
- 2
Name the quadrant for each point: B(-4, 2), C(5, -3), D(-2, -6), and E(1, 4).
- 3
A point is located 6 units left of the origin and 1 unit down. Write the ordered pair for the point and name its quadrant.
- 4
Points P(2, 3) and Q(2, -4) lie on a vertical line. Find the distance between the points.
- 5
Points R(-5, -2) and S(4, -2) lie on a horizontal line. Find the distance between the points.
- 6
Reflect the point M(4, -7) across the x-axis. Write the coordinates of the image point M'.
- 7
Reflect the point N(-3, 6) across the y-axis. Write the coordinates of the image point N'.
- 8
The vertices of a rectangle are A(-2, 1), B(4, 1), C(4, 5), and D(-2, 5). Find the length, width, and area of the rectangle.
- 9
The vertices of a right triangle are J(0, 0), K(6, 0), and L(0, 4). Find the area of the triangle.
- 10
Find the missing coordinate for point T if T is on the x-axis and has an x-coordinate of -8.
- 11
Find the missing coordinate for point U if U is on the y-axis and has a y-coordinate of 9.
- 12
A line segment has endpoints A(-1, 2) and B(5, 2). What is the midpoint of the segment?
- 13
A line segment has endpoints C(3, -4) and D(3, 8). What is the midpoint of the segment?
- 14
Plot the points A(-3, -2), B(2, -2), C(2, 3), and D(-3, 3). Connect the points in order and then connect D back to A. What shape is formed, and what is its perimeter?
- 15
Point V is at (-2, 5). It is translated 4 units right and 6 units down. What are the coordinates of the new point V'?