Lesson 10: Practice Problems

Problem 1

For each triangle, a base is labeled . Draw a line segment that shows its corresponding height. Use an index card to help you draw a straight line.

Three triangles with a base labeled b

Problem 2

Select all triangles that have an area of 8 square units. Explain how you know.

  1. triangle on a grid with horizontal base of 4 units and height of 4 units
  2. triangle on a grid with horizontal base of 4 units and height of 4 units
  3. triangle on a grid with a horizontal base of 3 units and a height of 5 units
  4. triangle on a grid with horizontal base of 4 units and height of 4 units
  5. triangle on a grid with a horizontal base of 8 units and a height of 2 units.

Problem 3

Find the area of the triangle. Show your reasoning.

A triangle on a grid

If you get stuck, carefully consider which side of the triangle to use as the base.

Problem 4

Can side be the base for this triangle? If so, which length would be the corresponding height? If not, explain why not.

A triangle with sides labeled d, e, and f. The angle opposite side D is a right angle. A segment labeled g is perpendicular to side d and extends to the opposite vertex.

Problem 5 From Unit 1 Lesson 3

Find the area of this shape. Show your reasoning.

A shape with six sides. There are two vertical sides measuring five units, two angled sides that fall 2 units over 4 units and two sides that fall 2 units over 2 units.

Problem 6 From Unit 1 Lesson 6

On the grid, sketch two different parallelograms that have equal area. Label a base and height of each and explain how you know the areas are the same.

blank grid