Question

3. AKLO is similar to ANMO.

a. Which side corresponds to side KO?
AC IS
b. Write a proportion that you could use to find MN.
c. What is MN?
3cm
units.
M
3 cm
K-
2.5 cm
O
L
7.5 cm

Answer 1

a. Since AKLO is similar to ANMO, we know that the corresponding sides are proportional. Therefore, the side that corresponds to side KO must be the side of ANMO that is similar to side KL of AKLO. Looking at the two figures, we can see that this corresponds to side NO of ANMO.

b. To find MN, we can use the fact that the sides of similar triangles are proportional. In particular, we can use the proportion:

MN/2.5cm = 3cm/7.5cm

This proportion compares the length of MN to the length of KO (which is 2.5 cm in the smaller triangle and 7.5 cm in the larger triangle). We can solve for MN by cross-multiplying and simplifying:

MN/2.5cm = 3cm/7.5cm
MN = (2.5cm)(3cm)/7.5cm
MN = 1cm

c. Therefore, MN is 1 cm.