Ar ACTIVITY 1: Quotients of Sides within Similar
Triangles
Your teacher will assign you one of the three columns in the second table.
Triangle ABC is similar to triangles DEF. GHI, and JKL. The scale factors for the
dilations that show triangle ABC is similar to each triangle are in the table.
triangle
scale
factor
length of
short side
length of
medium side
length of
long
side
1
5
7
DEF
2
GHI
3
SRL
1
B
А
(long side)
(short
triangle side)
ABC
(long side)
- medium
side)
(medium
side) -
(short side)
For 1.75
DEF
JKE
1.
Find the side lengths of triangles DEF, GHI, and JKL. Record them in the first table.
2 For all four triangles, find the quotient of the triangle side lengths assigned to you
and record them in the second table. What do you notice about the quotients?
Compare your results with your partner's and complete your table.
3.