Lesson 9: Practice Problems
Problem 1
Select all drawings in which a corresponding height
Problem 2
For each triangle, a base and its corresponding height are labeled.
Find the area of each triangle.
How is the area related to the base and its corresponding height?
Problem 3
Here is a right triangle. Name a corresponding height for each base.
![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.](../../../../../../embeds/7870b0e2--6.1.C.PP.New.Image.10.png)
Side
Side
Side
Problem 4 From Unit 1 Lesson 8
Find the area of the shaded triangle. Show your reasoning.
![A square with a shaded triangle contained inside it. The left and bottom sides of the square are labeled six, and the right side is labeled 2 above the point where vertex of the shaded triangle meets the side, and 4 below the point where the vertex meets the side.](../../../../../../embeds/0bcf8bd2--6.1.C.PP.New.Image.07.png)
Problem 5 From Unit 1 Lesson 7
Andre drew a line connecting two opposite corners of a parallelogram. Select all true statements about the triangles created by the line Andre drew.
![A parallelogram with a line connecting two opposite corners. The parallelogram has a base of 3 units and a height of 9 units.](../../../../../../embeds/5272e67c--6.1.B.PP.New.Image.04z.png)
Each triangle has two sides that are 3 units long.
Each triangle has a side that is the same length as the diagonal line.
Each triangle has one side that is 3 units long.
When one triangle is placed on top of the other and their sides are aligned, we will see that one triangle is larger than the other.
The two triangles have the same area as each other.
Problem 6 From Unit 1 Lesson 3
Here is an octagon.
While estimating the area of the octagon, Lin reasoned that it must be less than 100 square inches. Do you agree? Explain your reasoning.
Find the exact area of the octagon. Show your reasoning.