5. Geometry and Measurement

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 $M(4, 5)$ and one endpoint is $A(1, 3)$, what are the coordinates of the other endpoint $B$?

Question 2

The vertices of a triangle are $P( -2, 1)$, $Q(4, 1)$, and $R(1, 5)$. What is the length of the altitude from vertex $R$ to the side $PQ$?

Question 3

A circle has its center at $(h, k)$ and passes through the point $(x, y)$. If the center is $(3, -2)$ and the circle passes through $(7, 1)$, what is the equation of the circle?

Question 4

A line passes through the points $( -1, 3)$ and $(2, -3)$. What is the equation of this line in standard form $Ax + By = C$?

Question 5

What is the equation of the line that is perpendicular to $y = \frac{2}{3}x - 4$ and passes through the point $( -2, 5)$?