FUNDAMENTAL THEOREM OF PROPORTIONALITY.pptx

1. Fundamental Theorem
of Proportionality and
Its Application

2. Find the unknown value in the
proportion
4𝑚 + 2 : 4 = 2𝑚 + 4 : 10.
Check if necessary.

6. FUNDAMENTAL THEOREM
OF PROPORTIONALITY
if a line parallel to one side
of a triangle intersects the
other two sides, then it
divides those sides
proportionally.
c
a
b d

8. 1.
𝑚
𝑎
=
𝑡
ℎ
or
𝑡
ℎ
=
𝑚
𝑎
2.
𝑎
𝑚
=
ℎ
𝑡
or
ℎ
𝑡
=
𝑎
𝑚
3.
𝑚
𝑡
=
𝑎
ℎ
or
𝑎
ℎ
=
𝑚
𝑡
4.
𝑡
𝑚
=
ℎ
𝑎
or
ℎ
𝑎
=
𝑡
𝑚

9. Example 2. Find the value of x.

10. DIY (Do It Yourself)!
Ms. Divine wants to make a triangular
garden for their Gulayan sa Paaralan.
She divided the triangular garden
assigned to her class and wants to have
water drainage in between of the two
groups as shown in her sketch below.
The distances shown are in meters.
Find the distance of the first side of the
garden.

11. Analyze and solve the problem.
1.Based on the map below, Andres Bonifacio St. is
parallel to the national high way. If Mabini St. is 2.5km,
Luna St. is 2km, and Rizal St. is 3km, how long is
Baltazar St.?