Download Revised-WS Classify, Measure, and Special Segments in Triangles

WS Classify, Measure, and Special Segments in Triangles
Name _______________________
Classify each triangle.
____________ 1.
▲ABC with AB = BC
____________ 2.
▲DEF with m <E = 90
____________ 3.
▲JKL with JK = KL = LJ
____________ 4.
▲MNP with MN ≠ NP ≠ PM
____________ 5.
▲QRS with m <Q = 145, m <R = 15, and m <S = 20
____________ 6. A triangle has vertex coordinates (1, 1), (1, 5), and (5, 3). Find the length of each side
and decide what type of triangle it is.
Determine whether each statement is always, sometimes, or never true.
_______________ 7. A right triangle is an isosceles triangle.
_______________ 8. A right triangle is an acute triangle.
_______________ 9. An equilateral triangle is an isosceles triangle.
_______________ 10. An isosceles triangle is an equilateral triangle
_______________ 11. A scalene triangle is an obtuse triangle.
Refer to the figure at the right. Triangle ABC is isosceles with AB>AC and AB>BC. Also line XY
is parallel to line AB. Name each of the following.
12. Sides of the triangle ________________________
13. Angles of the triangle ________________________
14. Vertex angle ________________________
15. Base Angles ________________________
16. Side opposite <BCA ________________________
17. Congruent sides ________________________
18. Angle opposite
________________________
WS Classify, Measure, and Special Segments in Triangles
Name _______________________
Write and solve an equation to find “x” in each of the following.
_________19.
_________20.
Perimeter = 25
Perimeter = 84
_________21.
_________ 22.
Perimeter = 84
Solve each problem.
23. In triangle DEF, m <E is three times m <D, and m <D is 9 less than m <F. What is the measure of the
angle?
24. In triangle RST, m <T is 5 more than m <R, and m<S is 10 less than m <T. What is the measure of
each angle?
25. In triangle XYZ, m <Z is 2 more than twice m <X, and m <Y is 7 less than twice m <X. What is the
measure of each angle?
26. In triangle GHI, m <H is 20 more than m <G, and m <G is 8 more than m <I. What is the measure of
each angle?
Find the measure of each angle.
________ 27. m <1
________ 28. m <2
________ 30. m <4
________ 31. m < 5 ________ 32. m <6
Find the value of “x”.
________ 33.
________ 29. m <3
________ 34.
________ 35.
WS Classify, Measure, and Special Segments in Triangles
_______ 36.
________ 37.
Name _______________________
________ 38.
39.______
40._______
41._______
42.____
43._____
44.______
45._____
46._____
WS Classify, Measure, and Special Segments in Triangles
47. Find AB if
Name _______________________
is a median of ▲ABC.
48. Given A(2,5), B(12,-1), and C(-6,8) are the vertices of ▲ABC, What are the coordinates of K if
is a median of ▲ABC? What is the distance of
? What is the slope of
?
Coordinates of median ____( ,
)____
CK = _______
slope of
: ______