Chapter 13: Coordinate Geometry
Q. 3
Find the slope of the line through the points named. If the slope is not defined, write not defined.
3. (1, 2); (3, 4)
Q. 30
In Exercises 27-32 find and then compare lengths of segments.
The vertices of triangle KAT and triangle JES are K(3, -1), A(2, 6), T(5, 1), I(-4, 1), E(-3, -6), and S(-6, -1). What word best describes the relationship between triangle KAT and triangle IES?
Q30.
a. Show that tan∠A = slope of AC.
b. Use trigonometry to find m∠A.
Q. 31
In Exercises 27-32 find and then compare lengths of segments.
Find the area of the rectangle with vertices B(8, 0). T(2, -9), R(-1, -7), and C(5, 2).
Q31.
A line intersects the x- axis at a 45° angle.
What is its stope?
Q. 32
In Exercises 27-32 find and then compare lengths of segments.
Show that the triangle with vertices D(0, 0), E(3, 1), and F(-2, 6) is a right triangle, then find the area of the triangle.
Q32.
A line passes through points (-2, -1) and (4, 3). Where does the line intersect the x-axis? the y-axis?
Q. 33
There are twelve points, each with integer coordinates, that are 10 units from the origin. List the points. (Hint: Recall the 6, 8, 10 right triangle.)
Q33.
A ine through H(3, 1) and J(5, a) has positive slope and makes a 60° angle measured counterclockwise with the positive x-axis. Find the value of a.
Q. 34
a. List twelve points, each with integer coordinates, that are 5 units from (-8, 1).
b. Find an equation of the circle containing these points.
