IM Geo.3.12 Lesson: Practice With Proportional Relationships
These are the plans for a vegetable garden that a school is designing.
Scale: 1 unit = 2.8 ft
Write at least 3 equivalent ratios or equations using lengths from both the diagram and the full-size garden.
Here is a set of cards. Group them into pairs of similar figures.
For each pair, determine:
a similarity statement
the scale factor between the similar figures
the missing lengths
Here is a quilt design made of right isosceles triangles. The smallest squares in the center have an area of 1 square unit.
Find the dimensions of the triangles.
Are the triangles similar? If so, what are the scale factors?
This quilt is meant for a baby (1 unit = 6 inches). To make a quilt for a queen-size bed, it needs to be 90 inches wide. What dimensions should the center squares of the big quilt have to reach that width?
Here is a quilt design made of right triangles. Find as many different size triangles as you can.
Write similarity statements for 2 pairs of triangles.
The smallest triangles have legs 2 units and 3 units long. Write some equivalent ratios or equations that will help you determine the dimensions of triangle . Use your equivalent ratios or equations to find the dimensions of triangle .