# Lesson 11 Plane Geometry Practice Understanding

Examine each of the scatterplots shown. If possible, make a statement about the relationship between the two quantities depicted in the scatterplot.

### 1.

### 2.

### 3.

### 4.

The equations for the regression lines for scatterplots 1, 2, and 3 are given in random order. Use what you know about equations of lines to match each equation with the correct scatterplot. Justify your answers.

Given:

### 5.

Find the magnitude of each vector. This is the number of pounds of force being exerted on the object by each tug. (Round to the nearest hundredth.)

#### a.

#### b.

#### c.

### 6.

### 7.

Draw a vector diagram showing the resultant direction and magnitude of the motion resulting from this three-way tug-of-war.

### 8.

Consider the effects of the forces if they are multiplied or scaled.

#### a.

Find the magnitude of

#### b.

Find the magnitude of

#### c.

Write the component notation and also graph

Show how this system of equations can be solved in three different ways.

### 9.

First Method:

### 10.

Second Method:

### 11.

Third Method: