# Lesson 5

Bases and Heights of Parallelograms

### Problem 1

Select **all** parallelograms that have a correct height labeled for the given base.

A

B

C

D

### Solution

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### Problem 2

The side labeled \(b\) has been chosen as the base for this parallelogram.

Draw a segment showing the height corresponding to that base.

### Solution

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### Problem 3

Find the area of each parallelogram.

### Solution

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### Problem 4

If the side that is 6 units long is the base of this parallelogram, what is its corresponding height?

6 units

4.8 units

4 units

5 units

### Solution

### Problem 5

Find the area of each parallelogram.

### Solution

### Problem 6

Do you agree with each of these statements? Explain your reasoning.

- A parallelogram has six sides.
- Opposite sides of a parallelogram are parallel.
- A parallelogram can have one pair or two pairs of parallel sides.
- All sides of a parallelogram have the same length.
- All angles of a parallelogram have the same measure.

### Solution

### Problem 7

A square with an area of 1 square meter is decomposed into 9 identical small squares. Each small square is decomposed into two identical triangles.

- What is the area, in square meters, of 6 triangles? If you get stuck, consider drawing a diagram.
- How many triangles are needed to compose a region that is \(1\frac 12\) square meters?