A music store has 40 trumpets, 39 clarinets, 24 violins, 51 flutes, and 16 trombones in stock. Write each ratio in simplest form (write in fraction form).
a) trumpets to violins
b) flutes to clarinets
c) trombones to trumpets
d) violins to total instruments
The ratio of two supplementary angles is 4:1. Find the measures of both angles.
smaller angle =
larger angle =
The ratio of the measures of the angles in a triangle is 4:7:9. Find the measures of the angles.
smallest angle =
middle angle =
largest angle =
The ratio of the lengths of the sides of a triangle is 2:8:9. If the perimeter of the triangle is 76 inches, find the length of each side.
shortest side =
middle side =
longest side =
Solve for x.

Solve for x.

Solve for x.

Solve for x.

Key Objectives:
Define similar polygons. Identify the attributes of similar polygons. Identify whether two polygons are similar
Write a similarity statement
Find missing angle measures of similar polygons
Determine the scale factor (ratio of corresponding sides / ratio of similitude) between two similar polygons
Use scale factor to find missing side lengths (angle bisectors/medians/altitudes) and perimeter of similar polygons

How are the two triangles the SAME?
How are the two triangles DIFFERENT?

If two polygons are similar , then their corresponding angles are CONGRUENT. If Pentagon ABCDE
Pentagon RSTUV, then:If two polygons are similar , then their corresponding side lengths are proportional. If Pentagon ABCDE
Pentagon RSTUV, then:AB:

What is the scale factor of Pentagon ABCDE to Pentagon RSTUV?
If BC = 15, find ST. (Write the proportion in the show your work area)

Find the scale factor between ABCD and RSTV?
Find y.
In similar pentagons ABCDE and RSTUV, the perimeter of ABCDE is 60 inches. Find the perimeter of RSTUV.


Are the polygons similar? If they are, write a similarity statement and give the scale factor.

Are the polygons similar? If they are, write a similarity statement and give the scale factor.

If ABCD
EFGD, find the value of y.
x =
y =
Are the polygons similar? If they are, write the similarity statement and give the scale factor.


If Quadrilateral ABCD
Quadrilateral WXYZ , then what is the scale factor between the two similar polygons?
