4. Geometry

Coordinate Geometry — Quiz

Test your understanding of coordinate geometry with 5 practice questions.

Practice Questions

Question 1

A line segment has endpoints $A(x_1, y_1)$ and $B(x_2, y_2)$. If the midpoint of the segment is $M(3, 4)$ and one endpoint is $A(1, 2)$, what are the coordinates of the other endpoint, $B$?

Question 2

What is the equation of the line that passes through the point $( -2, 3)$ and is parallel to the line $y = -3x + 1$?

Question 3

A line passes through the points $( -1, 5)$ and $(3, -3)$. What is the equation of this line in slope-intercept form?

Question 4

What is the equation of the line that is perpendicular to $y = \frac{1}{2}x - 4$ and passes through the point $(4, 5)$?

Question 5

If the vertices of a triangle are $A(1, 1)$, $B(4, 1)$, and $C(1, 5)$, what is the area of the triangle?