Unit 6 Goals

1
Unit 6 Goals

• To find relationships between triangles and
  parallelograms
• To use the relationships between rectangles and
  parallelograms and between parallelograms and
  triangles to develop techniques for finding area
  and perimeters of triangles
• To apply techniques for finding areas and
  perimeters of rectangles, parallelograms, and
  triangles to a variety of problem situations

2
Problem 6.1

• For triangles A-H on page 57, find the area and
  perimeter and explain how you found them.

3
6.1 Summary

• How did you find these perimeter measurements?
• How did you find these area measurements?

4
Summary

• Which of the triangles are right triangles?
• How do you think right triangles are related to
  rectangles?
• How could you get a right triangle from a
  rectangle?

5
Summary

• What shapes do I have now?
• How do the two right triangles compare in size
  and shape?
• What measures of the right triangles are the same
  as measures of the original rectangle?

6
Summary

• Are the perimeters of the rectangle and each
  right triangle the same?
• Will the areas of the rectangle and the right
  triangle be the same?

7
Summary

• How do they compare?
• How might knowing this relationship help you to
  find the area of any right triangle?
• What are the dimensions, perimeter, and area of
  the rectangle?

8
Follow-up

• Find the area and perimeter of the triangle on
  page 56 of your student book. Explain your
  reasoning.