WS Classify, Measure, and Special Segments in Triangles
Name _______________________
Classify each triangle.
____________ 1.
ABC with AB = BC
____________ 3. JKL with JK = KL = LJ
____________ 5.
____________ 2.
DEF with m <E = 90
____________ 4.
MNP with MN  NP  PM
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 _______________________
Use a protractor and ruler to draw triangles using the given conditions. Classify each triangle by
the measure of its angels and sides.
19. Triangle BHE, BE = 1 inch, m<E = 60, HE = ½ inch
20. Triangle QTR, m<T = 60, QT = TR = 4cm
21. Find the measures of legs of isosceles triangle ABC if AB = 2x+4, BC = 3x-1, AC = x+1, and the
perimeter of triangle ABC is 34 units.
Write and solve an equation to find “x” in each of the following.
_________22.
_________23.
Perimeter = 25
Perimeter = 84
_________24.
_________ 25.
Perimeter = 84
Solve each problem.
26. 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?
27. 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?
28. 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?
29. 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.
________ 30. m <1
________ 31. m <2
________ 32. m <3
________ 33. m <4
________ 34. m < 5 ________ 35. m <6
WS Classify, Measure, and Special Segments in Triangles
Name _______________________
Find the value of “x”.
________ 36.
________ 37.
________ 38.
________ 39.
________ 40.
________ 41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
WS Classify, Measure, and Special Segments in Triangles
Name _______________________
51.
52.
53.
54.
55.
56.
57.
58.
59.
60. Find AB if
is a median of ▲ABC.
*REMEMBER where a median touches the side*
61. 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
: ______