5.1-5.4 Review Wkst
Name_____________________________________
Write the equation of the line graphed or described, in slope-intercept form:
1.
1
4
2. slope = ; through (-6, 2) 3. Parallel to y = x − 5
3
3
through (-9, 3)
4. Perpendicular to
y = 2x through (-5, 0)
Equation:
Equation:
Equation:
7. y + 6 = 3 8. 4(x − 2) + 2 = 2y – 12 Equation:
Graph the given equation and give the slope of each:
5. –2x + y = –1 6. 2y – 4 = 2x Slope:
Slope:
Slope:
Slope:
Draw and Label a figure to illustrate each situation
9. RS and TU are perpendicular bisectors of Δ ABC that
meet outside of the triangle.
11. In Δ PQR, point X is the centroid.
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10. In Δ EFG, EF and GF are both altitudes.
an angle bisector and a median of Δ EFG.
12. In Δ XYZ, point W is the circumcenter.
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FT is both
Write at least one conclusion you can make from each statement.
C 13. AD is an altitude.__________________
D F 14. BE is an altitude an a median.________________________.
E 15. AF ≅ FC ____________________________
A G 16. AD is an angle bisector.__________________________
Solve each for the variable(s).
17.
18. D is the incenter.
x + 12 5x -­‐ 3 y + 8 2y -­‐ 4 20. ML = 10x – 4 and MR = 12x + 18; L is a centroid
19. Find x, y and FD
x=
y=
FD=
In 21-24, R(5,5) S(-2,-2) T (6,-4) are the vertices of Δ RST and RX is a median.
21. What are the coordinates of X?
22. Find RX.
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23. Determine the slope of RX
24. Is RX also an altitude of Δ RST? Explain
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B