# Slope Triangle Rotation (VB)

- Author:
- Tim Brzezinski

*Since*

**a**and**b**represent lengths of segments, their values are non-negative! Keep this in mind as you answer the questions below.## 1.

What is the slope of line j? Write this slope in terms of **a** and **b**.

## 2.

What is the sum of the measures of the **blue acute angle** and **pink acute angle**? Explain how you clearly know this to be true.

## 3.

What is the slope of line k in the applet above? Write this slope in terms of **a** and **b**.

## 4.

Suppose **a = 4** and** b = 5**. What would the slope of j be? What would the slope of k be?

## 5.

Suppose **a = 12** and **b = 7**. What would the slope of j be? What would the slope of k be?

## 6.

Suppose **a = 6** and **b = 1**. What would the slope of j be? What would the slope of k be?

## 7.

What geometry vocabulary term (adjective, really) describes the intersection of lines j and k?

## 8.

What can you conclude about the slopes of 2 (non-vertical & non-horizontal )perpendicular lines in the coordinate plane?