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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 .