Honors Geometry
Honors Geometry
Honors Geometry
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<strong>Honors</strong> <strong>Geometry</strong>Writing Equations of Special Segments AAt each step, use the graph to verify the accuracy of your algebra work.1. Plot the points on the grid.S(-6,4) A(4,2) T(0,-6)2. Draw triangle SAT.3. Determine the coordinates of point M,the midpoint of SA. The plot M on the graph.4. Determine the coordinates of point R,the midpoint of AT. Plot R on the graph.5. Draw in MR. What kind of segment is it?6. Determine the slope of MR. 7. Determine the slope of AT.8. Determine the slope of a line which is to AT.9. Determine the equation of the bisector of AT. What point does the bisector go through on AT?Use that point to find the y-intercept. Then draw it on the grid.10. Determine the equation of median TM. Then draw it on the grid.11. Determine the equation of altitude SY (you must locate point Y finding an equation). Then draw iton the grid.12. What is the relationship of SY and the perpendicular bisector of AT? _______________
<strong>Honors</strong> <strong>Geometry</strong>Writing equations of special segments BAt each step, use the graph to verify the accuracy of your algebra work.1. Plot the points on the grid.S(0,0) A(4,-6) T(8,4)2. Draw triangle SAT.3. Determine the slope of SA.4. Determine the perpendicular slope5. What is the vertex opposite SA?Record the coordinates.6. Write the equation of the altitude from point T to side SA. Then draw it on the grid.7. Determine the slope of AT. 8. Determine the perpendicular slope.9. What is the vertex opposite AT? Record the coordinates.10. Determine the equation of the altitude from point S to side AT. Then draw it on the grid. Label thepoint of concurrency of the altitudes X. What point of concurrency is it? __________________11. Determine the midpoints of SA and AT12. Write the equation of the perpendicular bisector of SA using the midpoint from #11 and the slopefrom #4. Draw it on the grid.13. Write the equation of the perpendicular bisector of AT using the midpoint from #11 and the slopefrom #8. Draw it on the grid.
<strong>Honors</strong> <strong>Geometry</strong>Writing equations of special segments CAt each step, use the graph to verify the accuracy of your algebra work.1. Plot the points on the grid.S(-5,-3) A(3,-5) T(-1,2)2. Draw triangle SAT.3. Determine the coordinates of all three midpoints (M on SA, N on AT, and P on TS). Then plot themidpoints on the graph and label them.4. Determine the medians on the graph.5. Calculate the slopes of the medians MT, AP and SN.6. Determine the equation of median TM. Which point should you use to calculate the y-intercept? ____Explain why.7. Determine the equations of the other two medians, AP and SN.8. From these three equations, choose two that you will use in a system of equations to find the point ofconcurrency. Write the equations here and solve the system to find the coordinates of the point ofconcurrency.9. Label the point X. What type of point of concurrency is it? ___________________
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