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Parallel Lines and Proportional Parts Worksheet

Parallel Lines and Proportional Parts Worksheet
  • Page 1
 1.  
If x is the length of MN which is the midsegment of ΔABC, then find the value of BC.


a.
2x units
b.
x units
c.
3x units
d.
4x units


Answer: (a)


Correct answer : (1)
 2.  
In the given triangle if FG is midsegment of ΔAED and DE is the midsegment of ΔACB, then find the value of x.

a.
20 units
b.
25 units
c.
30 units
d.
15 units


Answer: (a)


Correct answer : (1)
 3.  
Given a regular hexagon with one of its base as 10 cm, it was cut into co-triangles with center O. What is the sum of the length of all the midsegments of all the triangles?

a.
60 cm
b.
30 cm
c.
36 cm
d.
24 cm


Answer: (b)


Correct answer : (2)
 4.  
Find the length of mid-segment EF.


a.
1042 units
b.
52 units
c.
105 units
d.
104 units


Answer: (a)


Correct answer : (1)
 5.  
ABCO is a trapezoid. Which statement would prove that the mid-segment of a trapezoid is parallel to the bases?

a.
Distance from O to A = Distance from C to B = Distance from P to Q
b.
(Slope of PQ × Slope of OA) = - 1, (Slope of PQ × Slope of CB) = - 1
c.
Slope of PQ = Slope of OA = Slope of CB
d.
Midpoint of PQ = Midpoint of OA = Midpoint of CB


Answer: (c)


Correct answer : (3)
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