####
MA19.GDA.33
Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems.

Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems.

### Unpacked Content

## UP:MA19.GDA.33

### Vocabulary

- Parallel lines
- Perpendicular lines
- Slope
- Slope triangle

### Knowledge

- Techniques to find the slope of a line.
- Key features needed to solve geometric problems.
- Techniques for presenting a proof of geometric theorems.

### Skills

- Explain and justify conclusions reached regarding the slopes of parallel and perpendicular lines.
- Apply slope criteria for parallel and perpendicular lines to accurately find the solutions of geometric problems and justify the solutions.
- Communicate logical reasoning in a systematic way to present a mathematical proof of geometric theorems.

### Understanding

- Relationships exist between the slope of a line and any line parallel or perpendicular to that line.
- Slope criteria for parallel and perpendicular lines may be useful in solving geometric problems.