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Special Segments in Triangles Worksheet

Special Segments in Triangles Worksheet
  • Page 1
 1.  
AD is the perpendicular bisector of BC. If AD = 24 cm and BD = 7 cm, then find AC.


a.
17 cm
b.
4 cm
c.
20 cm
d.
25 cm


Answer: (d)


Correct answer : (4)
 2.  
Select the correct statement(s) with respect to a triangle.
I. Sides containing the smallest angle will be larger than the third side.
II. Sides containing the largest angle will be longer than the third side.
III. Sum of the lengths of the smaller sides will be less than the length of the larger side.
a.
I, II, and III
b.
III only
c.
II only
d.
I only


Answer: (d)


Correct answer : (4)
 3.  
Which of the following cannot be the measure of BC?

a.
24 cm
b.
6 cm
c.
12 cm
d.
4 cm


Answer: (d)


Correct answer : (4)
 4.  
Which list order the angles from the greatest measure to the least measure in ΔABC?

a.
C, B, A
b.
B, A, C
c.
C, A, B
d.
A, B, C


Answer: (a)


Correct answer : (1)
 5.  
If A is the largest angle in ΔABC, then which of the following can be the length of BC?


a.
9 cm
b.
4 cm
c.
6 cm
d.
2 cm


Answer: (c)


Correct answer : (3)
 6.  
What is the ascending order for the lengths of the sides of ΔABC?


a.
AB < BC < AC
b.
AC < AB < BC
c.
AC < BC < AB
d.
BC < AB < AC


Answer: (d)


Correct answer : (4)
 7.  
Which of the following does not represent the lengths of the sides of a triangle?
a.
8 cm, 7 cm, 20 cm
b.
2 cm, 4 cm, 4 cm
c.
2 cm, 2 cm, 1 cm
d.
5 cm, 9 cm, 10 cm


Answer: (a)


Correct answer : (1)
 8.  
AB > BC > CA. What could be the measures of A, B and C respectively?


a.
30, 40, 110
b.
30, 110, 40
c.
40, 30, 110
d.
110, 40, 30


Answer: (c)


Correct answer : (3)
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