## Practice questions

*The first question refers to the following graph.*

- If the slope of
*AB*remains the same, but it intercepts the*y*-axis at*C*(0, 4), where does it intersect the*x*-axis? Use the following graph to indicate the point where*AB*intersects the*x*-axis. - The vertices of a triangle are
*A*(–6, 4),*B*(–8, –6), and*C*(8, 7). Using graph paper, circle the two ends of the longest side.

## Answers and explanations

**The correct answer is (–6, 0).**This question tests your skills in measurement and geometry. You’re asked to identify the*x*-intercept and the*y-*intercept and to draw a line with a slope of 2/3 on the graph.*y-*axis having the same slope, it crosses the*x*-axis at (–6, 0). Simply count over 3 points to the left (the run), down 2 (the rise), and you’re at (–3, 2). But you’re asked for the*x-*intercept, so repeat this process. Go over 3 more points to the left and down 2 more, and you’re at (–6, 0).You would fill out the answer sheet for the GED test like this:

**The correct answer is**This question tests your skills in geometry by asking you to calculate the lengths of sides of a triangle when given the vertices (corners of a triangle).*BC*.The length of the line joining the points (

*x*_{1},*y*_{1}) and (*x*_{2},*y*_{2}) isThus, when you substitute the three points of the triangle into this equation, you get the following lengths of

*AB, BC,*and*CA*(or*AC*):From these lengths, you can see that the longest side of the triangle is

*BC*.If you sketch this out on graph paper and locate the points of this triangle,

*BC*is obviously the longest side.As shown here, sketching can save you a lot of time calculating when the answer is this obvious, so try sketching first.