# Lesson 1 Under Construction Develop Understanding

### 1.

Using your compass, construct several concentric circles that have point

### 2.

In the first problem, you have demonstrated one way to find the midpoint of a line segment. Explain another way a line segment can be bisected without the use of circles.

### 3.

For each regular polygon, use your compass to construct a circle with the same center as the polygon and through all the vertices of the polygon.

#### a.

#### b.

#### c.

### 4.

The tools of geometric construction are a compass and a straightedge. A compass will make circles, while a straightedge helps in making straight lines. Explain why circles are so useful in making geometric constructions.

### 5.

Use a compass and a straightedge to bisect the angle. Check your construction by folding the paper.

### 6.

Use a compass and a straightedge to copy segment

### 7.

Use a compass and a straightedge to copy the angle.

### 8.

Construct a rhombus using segment

### 9.

Construct a square using segment

### 10.

Use a compass and a straightedge to locate the center of rotational symmetry of the equilateral triangle.

Solve each system of equations.