1.17 Lengths and polygons in the coordinate plane
Describe how you would move on the coordinate plane from the origin to plot the point \left(9, 14\right).
Find the coordinates of the following points given the description:
The point 9 units below the origin.
The point 3.5 units to the left of the origin.
The point 4 units to the left of \left( - 3 , 6 \right).
The point 7 units to the right of \left( - 1 , - 2 \right).
The point 2 units to the right and 2 units below the point \left(2, 5\right).
The point 6 units to the left and 5 units above the point \left(4, -4\right).
The point 2 units to the right and 1 unit above the point \left(-5, -3\right).
The point 4 units to the left and 3 units below the point \left(6, 7\right).
Starting at the origin, move 4 units left and then 4 units up.
Plot the resulting point on a coordinate plane.
State the coordinates of this point.
For each of the following polygons, write the coordinates of the vertices:
Find the distance between the following pairs of points:
A \left( - 5 , 8\right) and B \left( - 2 , 8\right)
A \left(7, 3\right) and B \left(-1, 3\right)
A \left(6, - 5 \right) and B \left(6, -1\right)
A \left( - 6 , 2\right) and B \left( - 6 , - 7 \right)
A \left(-5, 7\right) and B \left( -2, 7 \right)
A \left( -9, 3 \right) and B \left(-1,3 \right)
A \left( -5, -6 \right) and B \left( 4,-6 \right)
A \left( -8, 5 \right) and B \left( 1, 5 \right)
Which point is furthest from the origin?
\left(0, - 3 \right)
\left(5, 0\right)
\left(0, 4.5\right)
\left( - 4 , 0\right)
How many units above the origin is the point \left( - 6 , 1\right) located?
Consider the points: A \left( - 4 , 8\right), B \left( - 7 , 8\right) and C \left( - 7 , 1\right)
Plot the points on a coordinate plane.
Find the length of \overline{AB}.
Find the length of \overline{BC}.
A triangle has points A \left(1, 2\right), B \left( - 2 , - 3 \right) and C \left(6, - 3 \right).
Plot the triangle ABC on a coordinate plane.
Find the perpendicular height of the triangle if \overline{BC} is the base.
Find the length of base \overline{BC}.
A rectangle has points A \left( - 3 , - 4 \right), B \left(5, - 4 \right), C \left(5, 4\right) and D \left( - 3 , 4\right).
Plot the rectangle ABCD on a coordinate plane.
Find the length of the following sides:
\overline{AB}
\overline{BC}
\overline{CD}
\overline{DA}