Classify, Measure, and Special Segments in Triangles MT3
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 𝐴𝐶
Classify, Measure, and Special Segments in Triangles MT3
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, BC = 3x, AC = x+4, 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
Find the measure of each angle without a protractor.
________ 30. m <1
________ 31. m <2
________ 33. m <4
________ 34. m < 5 ________ 35. m <6
Find the value of “x”.
________ 36.
________ 32. m <3
________ 37.
________ 38.
Classify, Measure, and Special Segments in Triangles MT3
________ 39.
________ 40.
Name _______________________
________ 41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
Classify, Measure, and Special Segments in Triangles MT3
Name _______________________
51.
52.
53.
54.
55.
56.
57.
58.
59.
̅̅̅̅ is a median of ▲ABC.
60. Find AB if 𝐵𝐷
*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 𝐶𝐾
̅̅̅̅ ? What is the slope of 𝐶𝐾
̅̅̅̅?
is a median of ▲ABC? What is the distance of 𝐶𝐾
Coordinates of median ____( , )____
CK = _______
̅̅̅̅ : ______
slope of 𝐶𝐾